Bäcklund transformation and soliton–cnoidal wave interaction solution for the coupled Klein–Gordon equations

Nonlinear Dynamics ◽

10.1007/s11071-017-3993-0 ◽

2017 ◽

Vol 91 (3) ◽

pp. 1949-1961 ◽

Author(s):

Junchao Chen ◽

Huiling Wu ◽

Quanyong Zhu

Keyword(s):

Bäcklund Transformation ◽

Wave Interaction ◽

Cnoidal Wave ◽

Backlund Transformation ◽

Interaction Solution ◽

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N-th Bäcklund transformation and soliton-cnoidal wave interaction solution to the combined KdV–negative-order KdV equation

Applied Mathematics Letters ◽

10.1016/j.aml.2019.02.010 ◽

2019 ◽

Vol 94 ◽

pp. 21-29 ◽

Author(s):

Wenguang Cheng ◽

Tianzhou Xu

Keyword(s):

Bäcklund Transformation ◽

Kdv Equation ◽

Wave Interaction ◽

Cnoidal Wave ◽

Backlund Transformation ◽

Interaction Solution ◽

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Residual symmetry, n th Bäcklund transformation, and soliton‐cnoidal wave interaction solution for the combined modified KdV–negative‐order modified KdV equation

Mathematical Methods in the Applied Sciences ◽

10.1002/mma.5935 ◽

2019 ◽

Vol 43 (3) ◽

pp. 1253-1266 ◽

Author(s):

Wenguang Cheng ◽

Deqin Qiu ◽

Tianzhou Xu

Keyword(s):

Bäcklund Transformation ◽

Kdv Equation ◽

Wave Interaction ◽

Cnoidal Wave ◽

Backlund Transformation ◽

Interaction Solution ◽

Residual Symmetry ◽

Negative Order ◽

Modified Kdv Equation

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Multiple residual symmetries and soliton-cnoidal wave interaction solution of the $$(2+1)$$-dimensional negative-order modified Calogero–Bogoyavlenskii–Schiff equation

The European Physical Journal Plus ◽

10.1140/epjp/s13360-019-00035-w ◽

2020 ◽

Vol 135 (1) ◽

Author(s):

Wenguang Cheng ◽

Deqin Qiu ◽

Tianzhou Xu

Keyword(s):

Wave Interaction ◽

Cnoidal Wave ◽

Interaction Solution ◽

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Construction of Soliton-Cnoidal Wave Interaction Solution for the (2+1)-Dimensional Breaking Soliton Equation

Communications in Theoretical Physics ◽

10.1088/0253-6102/63/5/549 ◽

2015 ◽

Vol 63 (5) ◽

pp. 549-553 ◽

Author(s):

Wen-Guang Cheng ◽

Biao Li ◽

Yong Chen

Keyword(s):

Wave Interaction ◽

Cnoidal Wave ◽

Soliton Equation ◽

Interaction Solution

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Nonlocal symmetry, Darboux transformation and soliton–cnoidal wave interaction solution for the shallow water wave equation

Journal of Mathematical Analysis and Applications ◽

10.1016/j.jmaa.2017.12.028 ◽

2018 ◽

Vol 460 (2) ◽

pp. 987-1003 ◽

Author(s):

Junchao Chen ◽

Zhengyi Ma ◽

Yahong Hu

Keyword(s):

Wave Equation ◽

Shallow Water ◽

Darboux Transformation ◽

Wave Interaction ◽

Cnoidal Wave ◽

Nonlocal Symmetry ◽

Interaction Solution ◽

Shallow Water Wave

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Consistent Riccati expansion solvability and soliton–cnoidal wave interaction solution of a (2+1)-dimensional Korteweg–de Vries equation

Applied Mathematics Letters ◽

10.1016/j.aml.2016.08.016 ◽

2017 ◽

Vol 64 ◽

pp. 87-93 ◽

Author(s):

Junchao Chen ◽

Zhengyi Ma

Keyword(s):

Vries Equation ◽

Wave Interaction ◽

Cnoidal Wave ◽

Interaction Solution ◽

De Vries ◽

Consistent Riccati Expansion

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Bilinear Bäcklund transformation, N ‐soliton, and infinite conservation laws for Lax–Kadomtsev–Petviashvili and generalized Korteweg–de Vries equations

Mathematical Methods in the Applied Sciences ◽

10.1002/mma.7516 ◽

2021 ◽

Author(s):

Shrouk Wael ◽

Aly R. Seadawy ◽

Salah M. Moawad ◽

Omar H. El‐Kalaawy

Keyword(s):

Conservation Laws ◽

Bäcklund Transformation ◽

Backlund Transformation ◽

Bilinear Bäcklund Transformation ◽

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Casoratian Solutions to Toda Lattice Via Its Bäcklund Transformation

Communications in Theoretical Physics ◽

10.1088/0253-6102/53/3/06 ◽

2010 ◽

Vol 53 (3) ◽

pp. 435-439

Author(s):

Xuan Qi-Fei ◽

Zhang Da-Jun ◽

Zhou Jing

Keyword(s):

Toda Lattice ◽

Bäcklund Transformation ◽

Backlund Transformation

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A One-Parameter Bäcklund Transformation for the Euclidean Liouville and Wave Equations

Physica Scripta ◽

10.1088/0031-8949/27/5/001 ◽

1983 ◽

Vol 27 (5) ◽

pp. 321-322 ◽

Author(s):

Huang Xun-Cheng

Keyword(s):

Wave Equations ◽

Bäcklund Transformation ◽

Backlund Transformation

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Multi-soliton solutions and Bäcklund transformation for a two-mode KdV equation in a fluid

Waves in Random and Complex Media ◽

10.1080/17455030.2016.1185193 ◽

2016 ◽

Vol 27 (1) ◽

pp. 1-14 ◽

Author(s):

Zi-Jian Xiao ◽

Bo Tian ◽

Hui-Ling Zhen ◽

Jun Chai ◽

Xiao-Yu Wu

Keyword(s):

Bäcklund Transformation ◽

Kdv Equation ◽

Soliton Solutions ◽

Backlund Transformation

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