Bäcklund transformation, residual symmetry and exact interaction solutions of an extended \((2+1)\)-dimensional Korteweg-de Vries equation

DOI10.1016/j.aml.2021.107640zbMath1486.35367OpenAlexW3196654813MaRDI QIDQ2060907

Huiling Wu, Qiaoyun Chen, Junfeng Song

Publication date: 13 December 2021

Published in: Applied Mathematics Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.aml.2021.107640

zbMATH Keywords

Bäcklund transformationinteraction solutionconsistent tanh expansion methodextended \((2+1)\)-dimensional KdV equationnonlocal residual symmetry

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) Lie-Bäcklund and other transformations for infinite-dimensional Hamiltonian and Lagrangian systems (37K35) Painlevé-type functions (33E17) Soliton solutions (35C08)

Related Items (3)

On the similarity reduction solutions of the Bogoyavlenskii equation ⋮ Nonlocal symmetry, exact solutions and conservation laws of the \((1+1)\)-dimensional Levi equation ⋮ Nonlocal residual symmetries, N-th Bäcklund transformations and exact interaction solutions for a generalized Broer-Kaup-Kupershmidt system

Cites Work

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