New Bäcklund transformations of the \((2+1)\)-dimensional Bogoyavlenskii equation via localization of residual symmetries
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Publication:2293586
DOI10.1016/j.camwa.2018.07.018zbMath1434.35163OpenAlexW2883525513MaRDI QIDQ2293586
Zhi-Mei Lou, Xi-zhong Liu, Jun Yu
Publication date: 5 February 2020
Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.camwa.2018.07.018
KdV equations (Korteweg-de Vries equations) (35Q53) Soliton equations (35Q51) Lie-Bäcklund and other transformations for infinite-dimensional Hamiltonian and Lagrangian systems (37K35) Soliton solutions (35C08)
Related Items (7)
On the similarity reduction solutions of the Bogoyavlenskii equation ⋮ Nonlocal residual symmetries, N-th Bäcklund transformations and exact interaction solutions for a generalized Broer-Kaup-Kupershmidt system ⋮ New interaction solutions and nonlocal symmetry of an equation combining the modified Calogero–Bogoyavlenskii–Schiff equation with its negative-order form ⋮ Nonlocal residual symmetries and exact interaction solutions for the generalized dispersive water waves system ⋮ Residual symmetry reduction and consistent Riccati expansion to a nonlinear evolution equation ⋮ Bäcklund transformation, residual symmetry and exact interaction solutions of an extended \((2+1)\)-dimensional Korteweg-de Vries equation ⋮ A nonlocal nonlinear Schrödinger equation derived from a two-layer fluid model
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