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Orthogonal polynomials: From Heun equations to Painlevé equations
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2025
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Mengkun Zhu
Y. W. Chen
Jianduo Yu
Chuanzhong Li
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Gauge transformations between reduced $$q$$-KP and reduced $$q$$-mKP hierarchies
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2025
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Shilong Huang
Chuanzhong Li
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Калибровочные преобразования между редуцированными $q$-иерархиями Кадомцева-Петвиашвили и модифицированного уравнения Кадомцева-Петвиашвили
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2024
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Shilong Huang
Chuanzhong Li
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PDF
Chat
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Orthogonal polynomials: from Heun equations to Painlev\'{e} equations
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2024
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Mengkun Zhu
Yuting Chen
Jianduo Yu
Chuanzhong Li
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+
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Hopf link invariants and integrable hierarchies
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2024
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Chuanzhong Li
А. Миронов
A. Yu. Orlov
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On noncommutative modified KP systems
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2024
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Zheng Wang
Chuanzhong Li
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PDF
Chat
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Hopf link invariants and integrable hierarchies
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2024
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Chuanzhong Li
А. Миронов
A. Yu. Orlov
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Solutions of a three-component modified Kadomtsev–Petviashvili equation
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2024
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Lin Sun
Chuanzhong Li
Chunxin Yuan
Wei Liu
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PDF
Chat
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Non-crossing permutations for the KP solitons under the Gel'fand-Dickey
reductions and the vertex operators
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2024
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S.-S. Huang
Yuji Kodama
Chuanzhong Li
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N = 2 supersymmetric extension on multi-component D type Drinfeld–Sokolov hierarchy
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2024
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Chuanzhong Li
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Line-solitons of a three-component KP equation
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2024
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Zihan Zhao
Lin Sun
Chuanzhong Li
Wei Liu
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PDF
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Erratum: Multiple mixed solutions of the nonlocal sine-Gordon equation
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2024
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Jian Li
Jun‐Sheng Duan
Yan Li
Chuanzhong Li
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Mach-type soliton solution of a coupled KP equation
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2024
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Xiaoyan Zhen
Gang Wang
Chuanzhong Li
Wei Liu
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+
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On the line-soliton solutions of a coupled modified Kadomtsev–Petviashvili system in two-layer shallow water
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2024
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Conghui Li
Chuanzhong Li
Gang Wang
Wei Liu
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Rigid Surface Operator and Symbol Invariant of Partitions
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2024
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Chuanzhong Li
Bao Shou
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+
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Symplectic Grothendieck polynomials, universal characters and integrable systems
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2024
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Fang Huang
Chuanzhong Li
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Generation of multi-component super integrable hierarchy associated with higher-dimensional Lie superalgebra spo(2N,2) and osp(2N,2)
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2024
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Haifeng Wang
Yufeng Zhang
Chuanzhong Li
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A multi-component super integrable Dirac hierarchy
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2023
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Haifeng Wang
Yufeng Zhang
Chuanzhong Li
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+
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On limit fractional Volterra hierarchies
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2023
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L. Zhang
Chuanzhong Li
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Multi-component super integrable Hamiltonian hierarchies
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2023
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Haifeng Wang
Yufeng Zhang
Chuanzhong Li
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Symmetric universal character, integrable hierarchy, and affine Yangian of <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si1.svg"><mml:mrow><mml:mi mathvariant="fraktur">gl</mml:mi></mml:mrow><mml:mo stretchy="false">(</mml:mo><mml:mn>1</mml:mn><mml:mo stretchy="false">)</mml:mo></mml:math>
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2023
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Qianqian Yang
Chuanzhong Li
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Exact solutions and invariant subspaces to the nonlinear dissipative–dispersive equation
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2023
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Lixiang Zhang
Chuanzhong Li
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Painlevé V and confluent Heun equations associated with a perturbed Gaussian unitary ensemble
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2023
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Jianduo Yu
Siqi Chen
Chuanzhong Li
Mengkun Zhu
Yang Chen
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+
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Extensions and Generalizations of Lattice Gelfand–Dickey Hierarchy
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2023
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Lixiang Zhang
Chuanzhong Li
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+
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Virasoro symmetries of the dispersionless coupled constrained KP hierarchy
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2023
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Xiaoman Luo
Chuanzhong Li
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+
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A type of multicomponent nonisospectral generalized nonlinear Schrödinger hierarchies
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2023
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Jianduo Yu
Haifeng Wang
Chuanzhong Li
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+
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Boson–Fermion correspondence of the multi-component constrained mKP hierarchy
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2023
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Lixiang Zhang
Chuanzhong Li
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+
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On the nonlocal third-order inhomogeneous Heisenberg spin system with self-consistent potential
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2023
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Jingjing Ge
Chuanzhong Li
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PDF
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Polynomial tau-functions of the orthogonal KP, multicomponent orthogonal KP and BUC hierarchies
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2023
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Denghui Li
Chuanzhong Li
Zhaowen Yan
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+
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On the higher-order Heisenberg spin system with quintic terms in self-consistent potential
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2023
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jingjing ge
Chuanzhong Li
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+
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Littlewood-Richardson rule for generalized Schur Q-functions
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2023
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Fang Huang
Yanjun Chu
Chuanzhong Li
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+
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Coupled KP and BKP hierarchies and the corresponding symmetric functions
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2023
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Qianqian Yang
Chuanzhong Li
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PDF
Chat
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Связанные иерархии КП и BКП и соответствующие симметрические функции
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2023
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Qianqian Yang
Chuanzhong Li
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PDF
Chat
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Virasoro symmetries of a coupled rational reduced 2D Toda hierarchy
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2023
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Chuanzhong Li
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+
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Virasoro symmetries of a coupled rational reduced 2D Toda hierarchy
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2023
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Chuanzhong Li
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+
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Extended plethystic vertex operators and plethystic universal characters
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2023
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Chuanzhong Li
Yong Zhang
Huanhe Dong
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PDF
Chat
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Extended plethystic vertex operators and plethystic universal characters
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2023
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Chuanzhong Li
Yong Zhang
Huanhe Dong
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+
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Supersymmetric Quantum Spin Chains and Modified Universal Characters
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2023
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Chuanzhong Li
Bao Shou
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+
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Quantum field presentation for generalized Hall–Littlewood functions
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2023
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Fang Huang
Chuanzhong Li
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+
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Supersymmetric Schur Q-functions and Super BKP Hierarchy
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2022
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Fang Huang
Chuanzhong Li
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+
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Multiparameter universal characters of B-type and integrable hierarchy
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2022
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Qianqian Yang
Chuanzhong Li
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+
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Symmetries of the multicomponent $$q$$-KP hierarchy on a Grassmannian
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2022
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Chuanzhong Li
Chao Qian
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PDF
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Симметрии многокомпонентной $q$-иерархии Кадомцева-Петвиашвили на грассманиане
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2022
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Chuanzhong Li
Chao Qian
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Fredholm determinants and <i>Z</i> <sub> <i>n</i> </sub>-mKdV/<i>Z</i> <sub> <i>n</i> </sub>-sinh-Gordon hierarchies
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2022
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Chuanzhong Li
Wenna Liu
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Darboux transformation of two novel two-component generalized complex short pulse equations
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2022
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Xinyue Li
Zhixin Zhang
Qiulan Zhao
Chuanzhong Li
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+
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Gauge transformations of two-component KP and mKP hierarchies
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2022
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Yanxiu Li
Chuanzhong Li
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PDF
Chat
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Lie Symmetry Analysis and Conservation Laws for the (2 + 1)-Dimensional Dispersionless B-Type Kadomtsev–Petviashvili Equation
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2022
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Qiulan Zhao
Huanjin Wang
X. Y. Li
Chuanzhong Li
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Solitons, breathers and rogue waves in the coupled nonlocal reverse-time nonlinear Schrödinger equations
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2022
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Xin Wang
Chuanzhong Li
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+
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Symplectic and supersymmetric schur Q-functions, universal characters and integrable hierarchies
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2022
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Fang Huang
Chuanzhong Li
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PDF
Chat
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Hom-Lie Algebras and a Coupled Toda Equation with Indefinite Matrices
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2022
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Xiao Bi
Chuanzhong Li
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+
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Asymptotics for a singularly perturbed GUE, Painlevé III, double-confluent Heun equations, and small eigenvalues
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2022
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Jianduo Yu
Chuanzhong Li
Mengkun Zhu
Yang Chen
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+
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Multi-component universal character hierarchy and its polynomial tau-functions
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2022
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Chuanzhong Li
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+
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Generation of higher-dimensional isospectral-nonisospectral integrable hierarchies associated with a new class of higher-dimensional column-vector loop algebras
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2022
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Haifeng Wang
Yufeng Zhang
Chuanzhong Li
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On modified $$B$$KP systems and generalizations
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2021
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Zheng Wang
Chuanzhong Li
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+
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Multi-component supersymmetric D type Drinfeld–Sokolov hierarchy and its Virasoro symmetry
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2021
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Chuanzhong Li
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+
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Virasoro symmetry of the constrained multi-component q-KP and q-MKP hierarchies
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2021
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Chao Qian
Chuanzhong Li
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PDF
Chat
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Plethystic B-type KP and universal character hierarchies
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2021
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Chuanzhong Li
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+
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On the multicomponent weakly interacted generalized (3 + 1)‐dimensional Kadomtsev–Petviashvili equation
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2021
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Ling An
Chuanzhong Li
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+
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Symmetries of the multi-component supersymmetric (ABC)-type KP hierarchies
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2021
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Chuanzhong Li
Qingling Shi
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+
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N = 2 supersymmetric BKP hierarchy with SW1+∞ symmetries and its multicomponent generalization
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2021
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Chuanzhong Li
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+
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$$q$$-Universal characters and an extension of the lattice $$q$$-universal characters
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2021
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Yang Gao
Chuanzhong Li
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+
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Additional symmetries of the dispersionless extended noncommutative Gelfand–Dickey hierarchy
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2021
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HU Mei-yan
Chuanzhong Li
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+
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SW1+∞ symmetries of N = 2 supersymmetric CKP hierarchy and its multicomponent generalization
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2021
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Chuanzhong Li
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+
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Multi-component Toda lattice in centro-affine $${\mathbb R}^n$$
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2021
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Duan Xiaojuan
Chuanzhong Li
Jing Ping Wang
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+
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Symmetries of the multi-component Boussinesq hierarchy
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2021
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HU Mei-yan
Chuanzhong Li
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+
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Two-component symplectic universal characters and integrable hierarchies
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2021
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Chuanzhong Li
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+
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Generalizations of the finite nonperiodic Toda lattice and its Darboux transformation
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2021
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Jian Li
Chuanzhong Li
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+
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Multicomponent fractional Volterra hierarchy and its subhierarchy with Virasoro symmetry
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2021
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Chuanzhong Li
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+
PDF
Chat
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Painlevé V for a Jacobi unitary ensemble with random singularities
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2021
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Mengkun Zhu
Chuanzhong Li
Yang Chen
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+
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Extensions on two-component BKP and D type Drinfeld–Sokolov hierarchies
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2021
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Chuanzhong Li
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+
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Darboux transformations of the supersymmetric constrained B and C type KP hierarchies
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2021
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Qingling Shi
Chuanzhong Li
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PDF
Chat
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Darboux transformations and solutions of nonlocal Hirota and Maxwell–Bloch equations
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2021
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Ling An
Chuanzhong Li
Lixiang Zhang
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+
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Finite-dimensional tau functions of the universal character hierarchy
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2021
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Chuanzhong Li
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+
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Symmetries of the q-NKdV hierarchy
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2021
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Wenna Liu
Chuanzhong Li
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+
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Darboux transformations and solutions of nonlocal Hirota and Maxwell-Bloch equations
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2021
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Ling An
Chuanzhong Li
Lixiang Zhang
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+
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Painlevé V for a Jacobi unitary ensemble with random singularities
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2021
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Mengkun Zhu
Chuanzhong Li
Yang Chen
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+
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Quantum Gaudin model, spin chains, and universal characters
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2020
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Chuanzhong Li
Bao Shou
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+
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Ghost Symmetries and Multi-fold Darboux Transformations of Extended Toda Hierarchy
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2020
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Chuanzhong Li
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+
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Symmetries of supersymmetric CKP hierarchy and its reduction
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2020
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Chuanzhong Li
Ruiling Ge
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+
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Darboux transformations of noncommutative BKP and CKP hierarchies
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2020
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Bao Shou
Qiufang Liu
Chuanzhong Li
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+
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Additional symmetries for the supersymmetric Gelfand–Dickey hierarchy
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2020
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Jian Li
Chuanzhong Li
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PDF
Chat
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The smallest eigenvalue of large Hankel matrices generated by a singularly perturbed Laguerre weight
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2020
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Mengkun Zhu
Yang Chen
Chuanzhong Li
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+
PDF
Chat
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Extensions of the Finite Nonperiodic Toda Lattices with Indefinite Metrics
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2020
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Jian Li
Chuanzhong Li
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+
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Study of lump and lump-kink solitons of a coupled reduced Hirota bilinear equation
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2020
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Shun Wang
Chuanzhong Li
Zhenli Wang
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+
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A generalized super AKNS hierarchy associated with orthosymplectic Lie superalgebra OSP(2,2) and its super bi‐Hamiltonian structures
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2020
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Jing Yu
Jingwei Han
Chuanzhong Li
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Affine Weyl group symmetries of Frobenius Painlevé equations
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2019
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Haifeng Wang
Chuanzhong Li
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+
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Strongly Coupled B-Type Universal Characters and Hierarchies
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2019
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Chuanzhong Li
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+
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Quantum Torus Lie Algebra in the <i>q</i>-Deformed Kadomtsev–Petviashvili System
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2019
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Chuanzhong Li
X. Y. Li
Fushan Li
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PDF
Chat
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Universal character, phase model and topological strings on $$\pmb {\mathbb {C}^3}$$
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2019
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Na Wang
Chuanzhong Li
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+
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Weakly and strongly coupled intermediate long-wave hierarchies and Benjamin–Ono equations
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2019
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Jian Li
Chuanzhong Li
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+
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$\pi$-type Fermions and $\pi$-type KP hierarchy
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2019
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Na Wang
Chuanzhong Li
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PDF
Chat
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A Strongly Coupled Extended Toda Hierarchy and its Virasoro Symmetry
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2019
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Chuanzhong Li
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+
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Solutions of the Frobenius Coupled KP Equation
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2019
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Chuanzhong Li
Huijuan Zhou
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+
PDF
Chat
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Bosonic Symmetries of the Extended Fermionic (2N, 2M)-Toda Hierarchy
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2019
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Chuanzhong Li
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+
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Noncommutative Constrained KP Hierarchy and Multi-component Noncommutative Constrained KP Hierarchy
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2019
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Qiufang Liu
Chuanzhong Li
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+
PDF
Chat
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Bosonic symmetries of the extended fermionic $(2N,2M)$-Toda hierarchy
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2019
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Chuanzhong Li
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+
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LIE SYMMETRY ANALYSIS TO THE WEAKLY COUPLED KAUP–KUPERSHMIDT EQUATION WITH TIME FRACTIONAL ORDER
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2019
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Zhenli Wang
Lihua Zhang
Chuanzhong Li
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+
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$π$-type Fermions and $π$-type KP hierarchy
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2019
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Na Wang
Chuanzhong Li
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+
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Quantum torus symmetries of multicomponent modified KP hierarchy and reductions
|
2018
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Chuanzhong Li
Jipeng Cheng
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+
PDF
Chat
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Symmetries and Reductions on the noncommutative Kadomtsev-Petviashvili and Gelfand-Dickey hierarchies
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2018
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Chuanzhong Li
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+
PDF
Chat
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Rational Solutions of a Weakly Coupled Nonlocal Nonlinear Schrödinger Equation
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2018
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Huijuan Zhou
Chuanzhong Li
Yueh-Lung Lin
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+
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π-TYPE FERMIONS AND π-TYPE KP HIERARCHY
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2018
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Na Wang
Chuanzhong Li
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+
PDF
Chat
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Nonlocal symmetries of Frobenius sinh-Gordon systems
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2018
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Huijuan Zhou
Chuanzhong Li
Xinyue Li
Fushan Li
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+
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Bäcklund transformation of Frobenius Painlevé equations
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2018
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Haifeng Wang
Chuanzhong Li
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+
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Fermionic covariant prolongation structure theory for a (2+1)-dimensional super nonlinear evolution equation
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2018
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Zhaowen Yan
Chuanzhong Li
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+
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Inner Product of Irreducible Finite-dimensional Representations of Classical Groups
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2018
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Chuanzhong Li
Zhisheng Liu
Bao Shou
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+
PDF
Chat
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Coupled Sine-Gordon Systems in DNA Dynamics
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2018
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Liya Liu
Chuanzhong Li
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PDF
Chat
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Quantum torus symmetries of the CKP and multi-component CKP hierarchies
|
2017
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Qiufang Liu
Chuanzhong Li
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+
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Darboux transformations of new supersymmetric CKP and BKP hierarchies
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2017
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Ruiling Ge
Chuanzhong Li
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+
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Gauge transformations of the multi-component BKP and CKP hierarchies
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2017
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Tao Song
Chuanzhong Li
Xinyue Li
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+
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On the Full-Discrete Extended Generalised <i>q</i>-Difference Toda System
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2017
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Chuanzhong Li
Anni Meng
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+
PDF
Chat
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Bäcklund transformations of Zn-sine-Gordon systems
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2017
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Xueping Yang
Chuanzhong Li
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+
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Möbius-toda hierarchy and its integrability
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2017
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Chuanzhong Li
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+
PDF
Chat
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Quantum Torus Algebras and B(C)-Type Toda Systems
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2017
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Na Wang
Chuanzhong Li
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+
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Dispersionless and multicomponent BKP hierarchies with quantum torus symmetries
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2017
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Chuanzhong Li
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+
PDF
Chat
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Additional symmetries and string equations of the noncommutative B and C type KP hierarchies
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2017
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Qiufang Liu
Chuanzhong Li
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+
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Rogue waves of the Frobenius nonlinear Schrödinger equation
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2017
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Huijuan Zhou
Chuanzhong Li
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+
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Coupled Hall-Littlewood functions, vertex operators and the $q$-boson model
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2017
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Na Wang
Chuanzhong Li
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+
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Rigid Surface Operator and Symbol Invariant of Partitions
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2017
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Chuanzhong Li
Bao Shou
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+
PDF
Chat
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Bi-Hamiltonian structure of the extended noncommutative Toda hierarchy
|
2016
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Chuanzhong Li
Tao Song
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+
PDF
Chat
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Darboux transformations of the Supersymmetric BKP hierarchy
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2016
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Chuanzhong Li
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+
PDF
Chat
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Virasoro symmetry of the constrained multicomponent Kadomtsev–Petviashvili hierarchy and its integrable discretization
|
2016
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Chuanzhong Li
Jingsong He
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+
PDF
Chat
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Constraint on the Multi-Component CKP Hierarchy and Recursion Operators
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2016
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Tao Song
Chuanzhong Li
Jingsong He
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+
PDF
Chat
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Addition Formulae of Discrete KP, q-KP and Two-Component BKP Systems
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2016
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Xu Gao
Chuanzhong Li
Jing-Song He
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+
PDF
Chat
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Multifold Darboux Transformations of the Extended Bigraded Toda Hierarchy
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2016
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Chuanzhong Li
Tao Song
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+
PDF
Chat
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Constrained lattice-field hierarchies and Toda system with Block symmetry
|
2016
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Chuanzhong Li
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+
PDF
Chat
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Gauge transformation and symmetries of the commutative multicomponent BKP hierarchy
|
2015
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Chuanzhong Li
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+
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Rogue waves in a resonant erbium-doped fiber system with higher-order effects
|
2015
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Yu Zhang
Chuanzhong Li
Jingsong He
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+
PDF
Chat
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The extended Z N -Toda hierarchy
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2015
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Chuanzhong Li
Jingsong He
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+
PDF
Chat
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Ghost symmetry of the discrete KP hierarchy
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2015
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Chuanzhong Li
Jipeng Cheng
Kelei Tian
Maohua Li
Jingsong He
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+
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Supersymmetric BKP systems and their symmetries
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2015
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Chuanzhong Li
Jingsong He
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+
PDF
Chat
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Sato theory on the q-Toda hierarchy and its extension
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2015
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Chuanzhong Li
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+
PDF
Chat
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On the Extended Multi-component Toda Hierarchy
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2014
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Chuanzhong Li
Jingsong He
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+
PDF
Chat
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Quantum Torus Symmetry of the KP, KdV and BKP Hierarchies
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2014
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Chuanzhong Li
Jingsong He
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+
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Darboux transformation and Rogue waves of the Kundu-nonlinear Schrödinger equation
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2014
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Chengchuang Zhang
Chuanzhong Li
Jingsong He
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+
PDF
Chat
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Integrability on generalized <i>q</i>-Toda equation and hierarchy
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2014
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Anni Meng
Chuanzhong Li
Shuo Huang
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+
PDF
Chat
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Block (or Hamiltonian) Lie Symmetry of Dispersionless D-Type Drinfeld–Sokolov Hierarchy
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2014
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Chuanzhong Li
Jingsong He
Yucai Su
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+
PDF
Chat
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Darboux transformation and positons of the inhomogeneous Hirota and the Maxwell-Bloch equation
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2014
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Chuanzhong Li
Jingsong He
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+
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Integrability on generalized $q$-Toda equation and hierarchy
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2014
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Anni Meng
Chuanzhong Li
Shuo Huang
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+
PDF
Chat
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Block algebra in two-component BKP and D type Drinfeld-Sokolov hierarchies
|
2013
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Chuanzhong Li
Jingsong He
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+
PDF
Chat
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Regular solution and lattice Miura transformation of bigraded Toda hierarchy
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2013
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Chuanzhong Li
Jingsong He
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+
PDF
Chat
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Darboux Transformation and Solutions of the Two-Component Hirota—Maxwell—Bloch System
|
2013
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Jieming Yang
Chuanzhong Li
Tiantian Li
Zhao-Neng Cheng
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+
PDF
Chat
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On rogue wave in the Kundu-DNLS equation
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2013
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Shibao Shan
Chuanzhong Li
Jingsong He
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+
PDF
Chat
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Publisher's Note: Rogue waves of the Hirota and the Maxwell-Bloch equations [Phys. Rev. E<b>87</b>, 012913 (2013)]
|
2013
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Chuanzhong Li
Jingsong He
K. Porsezian
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+
PDF
Chat
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Virasoro type algebraic structure hidden in the constrained discrete Kadomtsev-Petviashvili hierarchy
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2013
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Maohua Li
Chuanzhong Li
Keilei Tian
Jingsong He
Yi Cheng
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+
PDF
Chat
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Rogue waves of the Hirota and the Maxwell-Bloch equations
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2013
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Chuanzhong Li
Jingsong He
K. Porsezian
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+
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Additional symmetry of the modified extended Toda hierarchy
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2013
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Chuanzhong Li
Jingsong He
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+
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Rogue Waves of the Kundu-Nonlinear Schr&#246;dinger Equation
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2013
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Chengchuang Zhang
Chuanzhong Li
Jingsong He
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Nonsingular Positon Solutions of a Variable-Coefficient Modified KdV Equation
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2013
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Yi Lin
Chuanzhong Li
Jingsong He
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+
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Rogue Waves of the Kundu-DNLS Equation
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2013
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Shibao Shan
Chuanzhong Li
Jingsong He
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Chat
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THE RECURSION OPERATORS OF THE BKP HIERARCHY AND THE CKP HIERARCHY
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2013
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MaoHua Li
Jipeng Cheng
Chuanzhong Li
Jingsong He
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Darboux transformation and positons of the inhomogeneous Hirota and the Maxwell-Bloch equation
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2012
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Chuanzhong Li
Jingsong He
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PDF
Chat
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DISPERSIONLESS BIGRADED TODA HIERARCHY AND ITS ADDITIONAL SYMMETRY
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2012
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Chuanzhong Li
Jingsong He
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PDF
Chat
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Block type symmetry of bigraded Toda hierarchy
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2012
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Chuanzhong Li
Jingsong He
Yucai Su
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+
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Ghost symmetry of the discrete KP hierarchy
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2012
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Chuanzhong Li
Jipeng Cheng
Kelei Tian
Maohua Li
Jingsong He
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+
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Regular solution and lattice miura transformation of bigraded Toda Hierarchy
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2012
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Chuanzhong Li
Jingsong He
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PDF
Chat
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The recursion operator for a constrained CKP hierarchy
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2011
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Chuanzhong Li
Kelei Tian
He Jingsong
Cheng Yi
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PDF
Chat
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Solutions of the bigraded Toda hierarchy
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2011
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Chuanzhong Li
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PDF
Chat
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Tau function and Hirota bilinear equations for the extended bigraded Toda hierarchy
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2010
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Chuanzhong Li
Jingsong He
Ke Wu
Yi Cheng
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The recursion operator for a constrained CKP hierarchy
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2010
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Chuanzhong Li
Kelei Tian
Jingsong He
Yi Cheng
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An Introduction to Logical Animation
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2005
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Jingzhong Zhang
Chuanzhong Li
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