New interaction solutions from residual symmetry reduction and consistent Riccati expansion of the \((2+1)\)-dimensional Boussinesq equation

DOI10.1007/s11071-018-4139-8zbMath1398.37077OpenAlexW2792972542MaRDI QIDQ1798244

Zhi-Mei Lou, Jun Yu, Xi-zhong Liu

Publication date: 23 October 2018

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

Full work available at URL: https://doi.org/10.1007/s11071-018-4139-8

zbMATH Keywords

\((2+1)\)-dimensional Boussinesq equationresidual symmetryconsistent Riccati expansion

Mathematics Subject Classification ID

Lie-Bäcklund and other transformations for infinite-dimensional Hamiltonian and Lagrangian systems (37K35) Soliton solutions (35C08) Symmetries, invariants, etc. in context of PDEs (35B06)

Related Items (4)

\(N\)-th Bäcklund transformation and soliton-cnoidal wave interaction solution to the combined KdV-negative-order KdV equation ⋮ Lie symmetry, nonlocal symmetry analysis, and interaction of solutions of a \((2+1)\)-dimensional KdV-mKdV equation ⋮ Investigation of interaction solutions for modified Korteweg-de Vries equation by consistent Riccati expansion method ⋮ A nonlocal nonlinear Schrödinger equation derived from a two-layer fluid model

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