New Families of Rational Form Variable Separation Solutions to (2+1)-Dimensional Dispersive Long Wave Equations

DOI10.1088/0253-6102/51/5/06zbMath1170.76315OpenAlexW2013956537MaRDI QIDQ3393704

Xiao-Yong Wen

Publication date: 27 August 2009

Published in: Communications in Theoretical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1088/0253-6102/51/5/06

zbMATH Keywords

symbolic computationimproved mapping approachvariable separation method\((2+1)\)-dimensional dispersive long wave equations

Mathematics Subject Classification ID

KdV equations (Korteweg-de Vries equations) (35Q53) Periodic solutions to PDEs (35B10) Software, source code, etc. for problems pertaining to partial differential equations (35-04) Soliton solutions (35C08)

Related Items (7)

Shallow water in an open sea or a wide channel: auto- and non-auto-Bäcklund transformations with solitons for a generalized (2+1)-dimensional dispersive long-wave system ⋮ Exact solutions of a class of nonlinear dispersive long wave systems via Feng's first integral method ⋮ Novel soliton interaction behaviours in the \((2+1)\)-dimensional asymmetric Nizhnik-Novikov-Veselov system ⋮ The \(N\)-soliton solution and localized wave interaction solutions of the \((2+1)\)-dimensional generalized Hirota-Satsuma-Ito equation ⋮ Fission and fusion interaction phenomena of the \((2+1)\)-dimensional dispersive long wave equations ⋮ Multiple soliton solutions and fusion interaction phenomena for the \((2 + 1)\)-dimensional modified dispersive water-wave system ⋮ \(N\)-soliton solutions and localized structures for the \(2+1\)-dimensional Broer-Kaup-Kupershmidt system

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