Residual symmetries and interaction solutions for the Whitham-Broer-Kaup equation

DOI10.1007/s11071-016-3248-5zbMath1373.37156OpenAlexW2560008905MaRDI QIDQ1676840

Weiping Cao, Jinxi Fei, Zheng-Yi Ma

Publication date: 10 November 2017

Published in: Nonlinear Dynamics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11071-016-3248-5

zbMATH Keywords

Bäcklund transformationresidual symmetryconsistent tanh expansion method solutionWhitham-Broer-Kaup equation

Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Lie-Bäcklund and other transformations for infinite-dimensional Hamiltonian and Lagrangian systems (37K35)

Related Items (4)

Bäcklund transformation and soliton-cnoidal wave interaction solution for the coupled Klein-Gordon equations ⋮ Nonlocal residual symmetries, N-th Bäcklund transformations and exact interaction solutions for a generalized Broer-Kaup-Kupershmidt system ⋮ \(N\)-th Bäcklund transformation and soliton-cnoidal wave interaction solution to the combined KdV-negative-order KdV equation ⋮ Bäcklund transformation and CRE solvability for the negative-order modified KdV equation

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