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

DOI10.1007/s11071-017-3993-0zbMath1390.37118OpenAlexW2771892380MaRDI QIDQ1649956

Huiling Wu, Junchao Chen, Quanyong Zhu

Publication date: 29 June 2018

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

Full work available at URL: https://doi.org/10.1007/s11071-017-3993-0

zbMATH Keywords

coupled Klein-Gordon equations\(n\)th Bäcklund transformationresidual symmetryconsistent Riccati expansionsoliton-cnoidal wave interaction solution

Mathematics Subject Classification ID

Closed and approximate solutions to the Schrödinger, Dirac, Klein-Gordon and other equations of quantum mechanics (81Q05) PDEs in connection with quantum mechanics (35Q40) Lie-Bäcklund and other transformations for infinite-dimensional Hamiltonian and Lagrangian systems (37K35) Soliton solutions (35C08)

Related Items (6)

Residual symmetry, Bäcklund transformation and CRE solvability of a \((2+1)\)-dimensional nonlinear system ⋮ The coupled derivative nonlinear Schrödinger equation: conservation laws, modulation instability and semirational solutions ⋮ Bäcklund transformations, rational solutions and soliton-cnoidal wave solutions of the modified Kadomtsev-Petviashvili equation ⋮ \(N\)-th Bäcklund transformation and soliton-cnoidal wave interaction solution to the combined KdV-negative-order KdV equation ⋮ Residual symmetry, Bäcklund transformation, and soliton solutions of the higher-order Broer-Kaup system ⋮ Investigation of interaction solutions for modified Korteweg-de Vries equation by consistent Riccati expansion method

Cites Work

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