Tianzhou Xu

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All published works

Action	Title	Year	Authors
+ PDF Chat	Triple Mixed Integral Transformation and Applications for Initial-Boundary Value Problems	2024	Chun Wang Tianzhou Xu
+	Double and Triple-Poles Soliton Solutions of Kundu-Type Equation with Zero/Nonzero Boundary Conditions	2024	Jin-Jin Mao Shou-Fu Tian null Tianzhou Xu
+	The dynamics of nonlocal diffusion problems with a free boundary in heterogeneous environment	2023	Lin-Fei Shi Tianzhou Xu
+	The Partially Degenerate Nonlocal Diffusion Competition Model with a Free Boundary: Invasion of an Inferior or Superior Competitor	2023	Lin-Fei Shi Tianzhou Xu
+ PDF Chat	Blow-Up and Global Existence of Solutions for the Time Fractional Reaction–Diffusion Equation	2021	Lin-Fei Shi Wenguang Cheng Jin-Jin Mao Tianzhou Xu
+	Darboux-dressing transformation, conservation laws and bound-state solutions of the vector Lakshmanan–Porsezian–Daniel equation	2021	Jin-Jin Mao Wenguang Cheng Lin-Fei Shi Tianzhou Xu
+	Local well-posedness in the critical Besov space and blow-up for an n-component Camassa–Holm system	2021	Wenguang Cheng Tianzhou Xu
+	Local-in-space blow-up and symmetry of traveling wave solutions to a generalized two-component Dullin–Gottwald–Holm system	2020	Wenguang Cheng Tianzhou Xu
+	Blow-up of solutions to a modified two-component Dullin–Gottwald–Holm system	2020	Wenguang Cheng Tianzhou Xu
+	Multiple residual symmetries and soliton-cnoidal wave interaction solution of the $$(2+1)$$-dimensional negative-order modified Calogero–Bogoyavlenskii–Schiff equation	2020	Wenguang Cheng Deqin Qiu Tianzhou Xu
+	Residual symmetry, <i>n</i>th Bäcklund transformation, and soliton‐cnoidal wave interaction solution for the combined modified KdV–negative‐order modified KdV equation	2019	Wenguang Cheng Deqin Qiu Tianzhou Xu
+	<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline" overflow="scroll" id="d1e197" altimg="si3.gif"><mml:mi>N</mml:mi></mml:math>-th Bäcklund transformation and soliton-cnoidal wave interaction solution to the combined KdV–negative-order KdV equation	2019	Wenguang Cheng Tianzhou Xu
+	Approximate solution of generalized inhomogeneous radical quadratic functional equations in 2-Banach spaces	2019	Yali Ding Tianzhou Xu
+	Approximate Solutions of an Additive-Quadratic-Quartic (AQQ) Functional Equation	2019	Tianzhou Xu Yali Ding John Michael Rassias
+	Local-in-space blow-up and symmetric waves for a generalized two-component Camassa–Holm system	2018	Shaojie Yang Tianzhou Xu
+	Blow-up phenomena and peakons for the b-family of FORQ/MCH equations	2018	Shaojie Yang Zhijun Qiao Tianzhou Xu
+	Lump solutions and interaction behaviors to the (2+1)-dimensional extended shallow water wave equation	2018	Wenguang Cheng Tianzhou Xu
+	Consistent Riccati expansion solvable classification and soliton-cnoidal wave interaction solutions for an extended Korteweg-de Vries equation	2018	Wenguang Cheng Tianzhou Xu
+	Lie symmetry analysis for a parabolic Monge–Ampère equation in the optimal investment theory	2018	Shaojie Yang Tianzhou Xu
+	Numerical algorithm for time-fractional Sawada-Kotera equation and Ito equation with Bernstein polynomials	2018	Jiao Wang Tianzhou Xu Gangwei Wang
+	Analytic study of solutions for a (3 + 1) -dimensional generalized KP equation	2018	Hui Gao Wenguang Cheng Tianzhou Xu Gangwei Wang
+	Numerical solutions for systems of fractional order differential equations with Bernoulli wavelets	2018	Jiao Wang Tianzhou Xu Yan-Qiao Wei Jiaquan Xie
+	Numerical simulation for coupled systems of nonlinear fractional order integro-differential equations via wavelets method	2017	Jiao Wang Tianzhou Xu Yan-Qiao Wei Jiaquan Xie
+	Well-posedness and persistence property for a shallow water wave equation for waves of large amplitude	2017	Shaojie Yang Tianzhou Xu
+ PDF Chat	Symmetry analysis, persistence properties and unique continuation for the cross-coupled Camassa-Holm system	2017	Shaojie Yang Tianzhou Xu
+	Steady bifurcation and solitary waves of modified equal width equation	2017	Shaojie Yang Tianzhou Xu
+	Blow-up phenomena and persistence properties for an integrable two-component peakon system	2017	Shaojie Yang Tianzhou Xu
+	Steady bifurcation and solitary waves of the perturbed PHI-four equation	2017	Shaojie Yang Tianzhou Xu
+	Analytical study of solitons for the variant Boussinesq equations	2017	Hui Gao Tianzhou Xu Shaojie Yang Gangwei Wang
+	Stability of the nonlinear fractional differential equations with the right-sided Riemann-Liouville fractional derivative	2017	Chun Wang Tianzhou Xu
+	A reproducing kernel method for solving nonlocal fractional boundary value problems with uncertainty	2016	Min Qi Zhanpeng Yang Tianzhou Xu
+	Invariant analysis and explicit solutions of the time fractional nonlinear perturbed Burgers equation	2015	Gangwei Wang Tianzhou Xu
+ PDF Chat	Hyers-Ulam stability of a class of fractional linear differential equations	2015	Chun Wang Tianzhou Xu
+	The Cauchy problem for quaternion fuzzy fractional differential equations	2015	Zhanpeng Yang Tianzhou Xu Min Qi
+	Hyers–Ulam Stability of Differential Operators on Reproducing Kernel Function Spaces	2015	Chun Wang Tianzhou Xu
+ PDF Chat	Hyers-Ulam stability of fractional linear differential equations involving Caputo fractional derivatives	2015	Chun Wang Tianzhou Xu
+	Ulam–Hyers Stability for Fractional Differential Equations in Quaternionic Analysis	2015	Zhanpeng Yang Tianzhou Xu Min Qi
+	Group analysis, explicit solutions and conservation laws of the Logarithmic-KdV equation	2015	Gangwei Wang Tianzhou Xu
+	Optical soliton of time fractional Schrödinger equations with He’s semi-inverse method	2015	Gangwei Wang Tianzhou Xu
+	On New Existence Results for Fractional Differential Equations in Quaternionic Analysis	2014	Zhanpeng Yang Tianzhou Xu
+	Shock Waves and Other Solutions to the Benjamin-Bona-Mahoney-Burgers Equation with Dual Power-Law Nonlinearity	2014	Gangwei Wang Tianzhou Xu Reza Abazari Zlatko Jovanoski Anjan Biswas
+ PDF Chat	Hyers-Ulam Stability of Differentiation Operator on Hilbert Spaces of Entire Functions	2014	Chun Wang Tianzhou Xu
+	Invariant analysis and exact solutions of nonlinear time fractional Sharma–Tasso–Olver equation by Lie group analysis	2013	Gangwei Wang Tianzhou Xu
+ PDF Chat	Symmetry properties and explicit solutions of the nonlinear time fractional KdV equation	2013	Gangwei Wang Tianzhou Xu
+	Solitons and Lie group analysis to an extended quantum Zakharov–Kuznetsov equation	2013	Gangwei Wang Tianzhou Xu Stephen L. Johnson Anjan Biswas
+ PDF Chat	Group Analysis and New Explicit Solutions of Simplified Modified Kawahara Equation with Variable Coefficients	2013	Gangwei Wang Tianzhou Xu
+ PDF Chat	Spectral Analysis of Sampled Signals in the Linear Canonical Transform Domain	2012	Bing‐Zhao Li Tianzhou Xu
+ PDF Chat	Parseval Relationship of Samples in the Fractional Fourier Transform Domain	2012	Bing‐Zhao Li Tianzhou Xu
+ PDF Chat	Sampling in the Linear Canonical Transform Domain	2012	Bing‐Zhao Li Tianzhou Xu
+	The Poisson sum formulae associated with the fractional Fourier transform	2008	Bing‐Zhao Li Ran Tao Tianzhou Xu Yue Wang
+	The weak topology for $SG$-primitive ideals	1998	Tianzhou Xu
+	Nonstable representable $K$-theory for $\sigma-C^\ast$-algebras	1997	Tianzhou Xu

Common Coauthors

Coauthor	Papers Together
Gangwei Wang	11
Wenguang Cheng	11
Shaojie Yang	9
Chun Wang	5
Lin-Fei Shi	4
Bing‐Zhao Li	4
Jin-Jin Mao	3
Jiao Wang	3
Min Qi	3
Jiaquan Xie	2
Yan-Qiao Wei	2
Hui Gao	2
Zhanpeng Yang	2
Deqin Qiu	2
Yali Ding	2
Anjan Biswas	2
Zhanpeng Yang	2
Stephen L. Johnson	1
John Michael Rassias	1
Shou-Fu Tian null	1
Ran Tao	1
Reza Abazari	1
Zlatko Jovanoski	1
Zhijun Qiao	1
Chun Wang	1
Yue Wang	1

Commonly Cited References

Action	Title	Year	Authors	# of times referenced
+	Fractional differential equations	1999	Igor Podlubný	9
+	Group Analysis of Differential Equations.	1985	Willard Miller Л.В. Овсянников	8
+	Symplectic structures, their Bäcklund transformations and hereditary symmetries	1981	Benno Fuchssteiner A. S. Fokas	8
+ PDF Chat	An integrable shallow water equation with peaked solitons	1993	Roberto Camassa Darryl D. Holm	7
+ PDF Chat	Wave breaking for nonlinear nonlocal shallow water equations	1998	Adrian Constantin Joachim Escher	6
+	Applications of Lie Groups to Differential Equations	1986	Peter J. Olver	6
+	Stability of peakons	2000	Adrian Constantin Walter A. Strauss	6
+	Applications of Symmetry Methods to Partial Differential Equations	2009	George W. Bluman Alexei F. Cheviakov Stephen C. Anco	6
+	Lie symmetry analysis to the time fractional generalized fifth-order KdV equation	2012	Gangwei Wang Xi-Qiang Liu Yingyuan Zhang	6
+	Group Analysis of Differential Equations	1982		6
+ PDF Chat	On the stability of the linear mapping in Banach spaces	1978	Themistocles M. Rassias	5
+ PDF Chat	A few remarks on the Camassa-Holm equation	2001	Raphaël Danchin	5
+	Theory and Applications of Fractional Differential Equations	2006	Anatoly A. Kilbas H. M. Srivastava Juan J. Trujillo	5
+	Stability of the Camassa-Holm solitons	2002	Adrian Constantin Strauss	5
+	Symmetry reduction, exact solutions and conservation laws of a new fifth-order nonlinear integrable equation	2012	Gangwei Wang Xi-Qiang Liu Yingyuan Zhang	5
+ PDF Chat	On the Stability of the Linear Functional Equation	1941	D. H. Hyers	5
+	A note on well-posedness for Camassa–Holm equation	2003	Raphaël Danchin	5
+	Consistent Riccati Expansion for Integrable Systems	2015	Sen‐Yue Lou	5
+ PDF Chat	GLOBAL DISSIPATIVE SOLUTIONS OF THE CAMASSA–HOLM EQUATION	2006	Alberto Bressan Adrian Constantin	4
+	Homotopy analysis method for multiple solutions of the fractional Sturm-Liouville problems	2009	S. Abbasbandy Ahmad Shirzadi	4
+ PDF Chat	Applications of lie groups to differential equations	1990	Peter J. Olver	4
+ PDF Chat	Global Conservative Solutions of the Camassa–Holm Equation	2006	Alberto Bressan Adrian Constantin	4
+	Nonlocal symmetry, CRE solvability and soliton–cnoidal solutions of the ( $$2+1$$ 2 + 1 )-dimensional modified KdV-Calogero–Bogoyavlenkskii–Schiff equation	2017	Yun‐Hu Wang Hui Wang	4
+	CRE solvability and soliton-cnoidal wave interaction solutions of the dissipative (<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" id="mml4" display="inline" overflow="scroll" altimg="si4.gif"><mml:mn>2</mml:mn><mml:mo>+</mml:mo><mml:mn>1</mml:mn></mml:math>)-dimensional AKNS equation	2017	Hui Wang Yun‐Hu Wang	4
+	On the scattering problem for the Camassa-Holm equation	2001	Adrian Constantin	4
+	Symmetries and Differential Equations	1989	George W. Bluman Sukeyuki Kumei	4
+ PDF Chat	The Hydrodynamical Relevance of the Camassa–Holm and Degasperis–Procesi Equations	2008	Adrian Constantin David Lannes	4
+ PDF Chat	Existence of permanent and breaking waves for a shallow water equation: a geometric approach	2000	Adrian Constantin	4
+	Global existence and blow-up phenomena for an integrable two-component Camassa–Holm shallow water system	2009	Chunxia Guan Zhaoyang Yin	4
+	Breaking waves and persistence property for a two-component Camassa–Holm system	2016	Long Wei Yang Wang Haiying Zhang	4
+	Laplace transform and Hyers–Ulam stability of linear differential equations	2013	Hamid Rezaei ‎Soon-Mo Jung Themistocles M. Rassias	4
+ PDF Chat	Local-in-Space Criteria for Blowup in Shallow Water and Dispersive Rod Equations	2014	Lorenzo Brandolese	4
+	On the Appearance of the Fractional Derivative in the Behavior of Real Materials	1984	Peter J. Torvik Ronald L. Bagley	4
+	A Generalization of the Hyers-Ulam-Rassias Stability of Approximately Additive Mappings	1994	P. Găvruţa	4
+	A pseudo-spectral scheme for the approximate solution of a family of fractional differential equations	2010	Shahrokh Esmaeili M. Shamsi	4
+	Wavelet operational matrix method for solving fractional differential equations with variable coefficients	2014	Mingxu Yi Jun Huang	4
+	Nonlocal symmetry and soliton–cnoidal wave solutions of the Bogoyavlenskii coupled KdV system	2015	Xiaorui Hu Yuqi Li	4
+	On the global existence and wave-breaking criteria for the two-component Camassa–Holm system	2010	Guilong Gui Yue Liu	4
+ PDF Chat	Applications of Lie Groups to Differential Equations	1993	Peter J. Olver	4
+ PDF Chat	Complete Group Classifications and Symmetry Reductions of the Fractional Fifth‐Order KdV Types of Equations	2013	Hanze Liu	3
+	A new asymptotic behavior of solutions to the Camassa-Holm equation	2011	Lidiao Ni Yong Zhou	3
+	Persistence properties of the solutions to a generalized two-component Camassa–Holm shallow water system	2015	Yuan Zhu Fengyun Fu	3
+	The Fréchet functional equation with application to the stability of certain operators	2011	Dorian Popa Ioan Raşa	3
+	Global weak solutions for a two-component Camassa–Holm shallow water system	2010	Chunxia Guan Zhaoyang Yin	3
+ PDF Chat	Approximate Multi-Jensen, Multi-Euler-Lagrange Additive and Quadratic Mappings in -Banach Spaces	2013	Tian Zhou Xu	3
+	Invariant analysis and exact solutions of nonlinear time fractional Sharma–Tasso–Olver equation by Lie group analysis	2013	Gangwei Wang Tianzhou Xu	3
+	Quaternionic ψ-hyperholomorphic functions, singular integral operators and boundary value problems I. ψ-hyperholomorphic function theory	1995	Michael Shapiro Nikolai Vasilevski	3
+	Symmetry properties of fractional diffusion equations	2009	Р. К. Газизов Alexey A. Kasatkin Stanislav Yu. Lukashchuk	3
+	Similarity solutions to nonlinear heat conduction and Burgers/Korteweg–deVries fractional equations	2008	Vladan Djordjević Teodor M. Atanacković	3
+	Applications of fixed point theorems to the Hyers-Ulam stability‎ ‎of functional equations–a survey	2012	Krzysztof Ciepliński	3