The \((2+1)\)-dimensional integrable coupling of KdV equation: auto-Bäcklund transformation and new non-traveling wave profiles

DOI10.1016/j.physleta.2005.07.052zbMath1345.35094OpenAlexW2031718987MaRDI QIDQ936978

Zhenya Yan

Publication date: 20 August 2008

Published in: Physics Letters. A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.physleta.2005.07.052

zbMATH Keywords

symbolic computationBäcklund transformationPainlevé analysisintegrable couplingnon-traveling wave solutions

Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) KdV equations (Korteweg-de Vries equations) (35Q53) Geometric theory, characteristics, transformations in context of PDEs (35A30) Lie-Bäcklund and other transformations for infinite-dimensional Hamiltonian and Lagrangian systems (37K35) Software, source code, etc. for problems pertaining to partial differential equations (35-04)

Related Items

Construction of invariant solutions and conservation laws to the \((2+1)\)-dimensional integrable coupling of the KdV equation ⋮ Non-travelling wave solutions of two \((2+1)\)-dimensional nonlinear mathematical physics equations ⋮ \(N\)-fold Darboux transformation and solitonic interactions of a variable-coefficient generalized Boussinesq system in shallow water ⋮ New solitary wave solutions of \((2+1)\)-dimensional space-time fractional Burgers equation and Korteweg-de Vries equation

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