Guoliang He

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All published works

Action	Title	Year	Authors
+	Breather, soliton, multiple-pole, and interaction solutions to the Hirota–Satsuma equation	2024	Ming Wang Guoliang He Tao Xu Yitong Han
+	Multi-soliton and rational solutions for a modified Boussinesq equation	2024	Ming Wang Guoliang He Tao Xu
+	Wronskian solutions and <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si3.svg" display="inline" id="d1e278"><mml:mi>N</mml:mi></mml:math>–soliton solutions for the Hirota–Satsuma equation	2024	Ming Wang Guoliang He Tao Xu
+	Solitons, lump and interactional solutions of the (3+1)-dimensional BLMP equation in incompressible fluid	2024	Guoliang He Yitong Han Tao Xu Ming Wang
+	Novel bright-dark mixed $$\textit{N}$$-soliton for the ($$3+1$$)-component Mel’nikov system and its multi-component generalization	2022	Tao Xu Guoliang He Ming Wang
+	Quasiperiodic solutions of an extended MKdV hierarchy	2022	Lihua Wu Guoliang He
+	Partial Gabor frames and dual frames	2021	Yu Tian Hui-Fang Jia Guoliang He
+	The homoclinic breather wave solution, rational wave and <i>n</i>-soliton solution to a nonlinear differential equation	2021	Zhenzhen Zheng Guoliang He Tao Xu
+	Lower bounds of blow up solutions in $\dot{H}^1_p (\mathbb{R}^3)$ of the Navier–Stokes equations and the quasi-geostrophic equation	2020	Guoliang He Yanqing Wang Daoguo Zhou
+	Higher-order interactional solutions and rogue wave pairs for the coupled Lakshmanan–Porsezian–Daniel equations	2019	Tao Xu Guoliang He
+	Riemann theta function solutions of the Caudrey–Dodd–Gibbon–Sawada–Kotera hierarchy	2019	Xianguo Geng Guoliang He Lihua Wu
+	The trigonal curve and the integration of the Hirota‐Satsuma hierarchy	2017	Guoliang He Xianguo Geng Lihua Wu
+	Algebro-geometric Constructions to the Dym-type Hierarchy	2017	Lihua Wu Guoliang He Xianguo Geng
+	The application of trigonal curve to the Mikhailov–Shabat–Sokolov flows	2016	Guoliang He Xianguo Geng Lihua Wu
+ PDF Chat	A New Soliton Hierarchy Associated with<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" id="M1"><mml:mrow><mml:mrow><mml:mtext>so</mml:mtext></mml:mrow><mml:mo>⁡</mml:mo><mml:mrow><mml:mfenced separators="\|"><mml:mrow><mml:mn fontstyle="italic">3</mml:mn><mml:mo>,</mml:mo><mml:mi mathvariant="double-struck">R</mml:mi></mml:mrow></mml:mfenced></mml:mrow></mml:mrow></mml:math>and Its Conservation Laws	2016	Hanyu Wei Tiecheng Xia Guoliang He
+	A note on the quasi-periodic solutions of the modified Boussinesq hierarchy	2015	Lihua Wu Guoliang He Xianguo Geng
+	Algebro-geometric solutions to the Manakov hierarchy	2015	Lihua Wu Xianguo Geng Guoliang He
+ PDF Chat	The application of trigonal curve theory to the second-order Benjamin-Ono hierarchy	2014	Guoliang He Lin He
+	A novel hierarchy of differential—integral equations and their generalized bi-Hamiltonian structures	2014	Yunyun Zhai Xianguo Geng Guoliang He
+	Explicit quasi-periodic solutions of the Vakhnenko equation	2014	Yunyun Zhai Xianguo Geng Guoliang He
+	A super hierarchy of the vector nonlinear Schrödinger equations and Hamiltonian structures, conservation laws	2013	Guoliang He Yunyun Zhai Xianguo Geng
+	The full positive flows of Manakov hierarchy, Hamiltonian structures and conservation laws	2013	Lihua Wu Guoliang He Xianguo Geng
+	DARBOUX TRANSFORMATION AND EXPLICIT SOLUTIONS FOR TWO NEW DIFFERENTIAL-INTEGRAL EQUATIONS	2013	Guoliang He Ting Su
+	Quasi-periodic solutions to the two-component nonlinear Klein–Gordon equation	2012	Lihua Wu Guoliang He Xianguo Geng
+	Algebro-geometric solutions to the modified Sawada-Kotera hierarchy	2012	Lihua Wu Guoliang He Xianguo Geng
+	An extension of the modified Sawada—Kotera equation and conservation laws	2012	Guoliang He Xianguo Geng
+ PDF Chat	混合Boussinesq 方程的有限亏格解	2012	Xianguo Geng Guoliang He Lihua Wu
+	Algebro-geometric constructions of the modified Boussinesq flows and quasi-periodic solutions	2011	Xianguo Geng Lihua Wu Guoliang He
+	Quasi‐Periodic Solutions of Nonlinear Evolution Equations Associated with a 3 × 3 Matrix Spectral Problem	2011	Xianguo Geng Lihua Wu Guoliang He
+	Darboux transformation and explicit solutions for the Satsuma–Hirota coupled equation	2010	Xianguo Geng Guoliang He
+	Some new integrable nonlinear evolution equations and Darboux transformation	2010	Xianguo Geng Guoliang He
+	Darboux transformation for a generalized Hirota-Satsuma coupled Korteweg–de Vries equation	2009	Xianguo Geng Hongfeng Ren Guoliang He

Common Coauthors

Coauthor	Papers Together
Xianguo Geng	19
Lihua Wu	12
Ming Wang	5
Yunyun Zhai	3
Tao Xu	3
Yitong Han	2
Tao Xu	2
Tao Xu	2
Ting Su	1
Daoguo Zhou	1
Tiecheng Xia	1
Zhenzhen Zheng	1
Yanqing Wang	1
Hongfeng Ren	1
Hanyu Wei	1
Yu Tian	1
Hui-Fang Jia	1
Lihua Wu	1
Lin He	1

Commonly Cited References

Action	Title	Year	Authors	# of times referenced
+	Decomposition of the (2 + 1)- dimensional Gardner equation and its quasi-periodic solutions	2001	Xianguo Geng Cewen Cao	13
+ PDF Chat	Theta functions and non-linear equations	1981	Boris Dubrovin	13
+ PDF Chat	Principles of Algebraic Geometry	1994	Phillip Griffiths Joseph Harris	13
+	The Periodic Cubic Schrõdinger Equation	1981	Yan‐Chow Ma Mark J. Ablowitz	12
+	Algebro-geometric constructions of the modified Boussinesq flows and quasi-periodic solutions	2011	Xianguo Geng Lihua Wu Guoliang He	12
+ PDF Chat	ALGEBRO-GEOMETRIC SOLUTIONS OF THE BOUSSINESQ HIERARCHY	1999	Rumona Dickson Fritz Gesztesy Karl Unterkofler	11
+ PDF Chat	Periodic Multi-Soliton Solutions of Korteweg-de Vries Equation and Toda Lattice	1976	Etsurō Date S. Tanaka	11
+ PDF Chat	On the Riemann theta function of a trigonal curve and solutions of the Boussinesq and KP equations	1987	V. B. Matveev A. O. Smirnov	11
+	Monodromy of boussinesq elliptic operators	1994	Эмма Превиато	9
+	A MATRIX ANALOGUE OF APPELL'S THEOREM AND REDUCTIONS OF MULTIDIMENSIONAL RIEMANN THETA-FUNCTIONS	1988	A. O. Smirnov	8
+ PDF Chat	An Alternative Approach to Algebro-Geometric Solutions of the AKNS Hierarchy	1998	Fritz Gesztesy R. Ratnaseelan	8
+	A New Approach to the Boussinesq Hierarchy	1999	Ronnie Dickson Fritz Gesztesy Karl Unterkofler	8
+	None	2002	Yu. V. Brezhnev	8
+	Algebro-geometric approach to nonlinear integrable equations	1994	E. D. Belokolos	8
+	Real finite-gap regular solutions of the Kaup-Boussinesq equation	1986	A. O. Smirnov	8
+	Principles of Algebraic Geometry	1978	Phillip Griffiths Joseph Harris	7
+	Abelian functions for cyclic trigonal curves of genus 4	2008	Sadie Baldwin J. C. Eilbeck John Gibbons Yuki ONISHI	7
+	Simplest trigonal solutions of the Boussinesq and Kadomtsev-Petviashvili equations	1987	V. B. Matveev A. O. Smirnov	7
+	Darboux Transformations and Solitons	1991	V. B. Matveev Mikhail A. Salle	6
+ PDF Chat	Algebro-Geometric Solutions of the Camassa–Holm hierarchy	2003	Fritz Gesztesy Helge Holden	6
+	Abelian Functions for Purely Trigonal Curves of Genus Three	2006	J. C. Eilbeck V. Z. Enolski Shigeki Matsutani Yuki ONISHI Эмма Превиато	6
+	Rational and elliptic solutions of the korteweg‐de vries equation and a related many‐body problem	1977	Hélène Airault H. P. McKean J. Moser	5
+	Boussinesq's equation on the circle	1981	H. P. McKean	5
+	On the Inverse Scattering Problem for Cubic Eigenvalue Problems of the Class <i>ψ<sub>xxx</sub></i> + 6<i>Qψ<sub>x</sub></i> + 6<i>R<sub>ψ</sub></i> = λ<i>ψ</i>	1980	D. J. Kaup	4
+	New similarity solutions for the modified Boussinesq equation	1989	Peter A. Clarkson	4
+	Algebraic geometrical solutions for certain evolution equations and Hamiltonian flows on nonlinear subvarieties of generalized Jacobians	2001	Mark Alber Yuri N. Fedorov	4
+	Symmetric reductions of the Riemann 𝜃-function and some of their applications to the Schrödinger and Boussinesq equations	1993	V. B. Matveev A. O. Smirnov	4
+	Inverse scattering and the boussinesq equation	1982	Percy Deift Carlos Tomei Eugene Trubowitz	4
+	Integrable systems and algebraic curves	1979	H. P. McKean	4
+	Linearization of the Boussinesq equation and the modified Boussinesq equation	1982	G. Quispel Frank Nijhoff H.W. Capel	4
+	On a new Darboux transformation for the construction of exact solutions of the Schrodinger equation	1988	D. Levi	3
+ PDF Chat	Effective integration of the nonlinear vector Schrödinger equation	2006	J.N. Elgin V. Z. Enolski A. R. Its	3
+	The reductions of the Darboux transformation and some solutions of the soliton equations	1996	Yishen Li	3
+	Matrix finite-zone operators	1985	Boris Dubrovin	3
+	Quasi-periodic solutions of mixed AKNS equations	2010	Xianguo Geng Bo Xue	3
+	The Camassa-Holm Hierarchy, N -Dimensional Integrable Systems, and Algebro-Geometric Solution on a Symplectic Submanifold	2003	Zhijun Qiao	3
+ PDF Chat	Long-time asymptotics of the good Boussinesq equation with <i>q</i> <i>xx</i>-term and its modified version	2022	Deng‐Shan Wang Xiaodong Zhu	3
+	Integration of nonlinear equations by the methods of algebraic geometry	1977	I. M. Krichever	3
+	A three-component generalization of Camassa–Holm equation with N-peakon solutions	2010	Xianguo Geng Bo Xue	3
+	Algebro-Geometric Solutions of the Baxter–Szegő Difference Equation	2005	Jeffrey S. Geronimo Fritz Gesztesy Helge Holden	3
+	Factorization of operators.II	1981	Allan P. Fordy John Gibbons	3
+	A super Korteweg-de Vries equation: An integrable system	1984	Boris A. Kupershmidt	3
+	On Darboux transformations for soliton equations in high-dimensional spacetime	1994	Chaohao Gu Zhou Zi-Xiang	3
+	Soliton and antisoliton interactions in the ‘‘good’’ Boussinesq equation	1988	V.S. Manoranjan Tomás Ortega del Rincón J. M. Sanz‐Serna	3
+ PDF Chat	Periodic and almost-periodic potentials in inverse problems	1999	I. M. Krichever S. P. Novikov	3
+	Solitary wave solutions for a generalized Hirota–Satsuma coupled KdV equation by homotopy perturbation method	2006	D.D. Ganji M. Rafei	2
+	Darboux transformation and explicit solutions for the Satsuma–Hirota coupled equation	2010	Xianguo Geng Guoliang He	2
+	The extended Jacobi elliptic function method to solve a generalized Hirota–Satsuma coupled KdV equations	2005	Ya-Xuan Yu Qi Wang Hongqing Zhang	2
+	Exact dark soliton solutions for a family of<i>N</i>coupled nonlinear Schrödinger equations in optical fiber media	2001	K. Nakkeeran	2
+	Two-gap elliptic solutions to integrable nonlinear equations	1995	A. O. Smirnov	2