Travelling wave solutions of two nonlinear evolution equations by using the \((\frac{G'}{G})\)-expansion method

DOI10.1016/j.amc.2010.12.052zbMath1210.35220OpenAlexW1986763086MaRDI QIDQ628942

Bin Zheng

Publication date: 8 March 2011

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.amc.2010.12.052

zbMATH Keywords

travelling wave solutions\((\frac{G'}{G})\)-expansion method(2+1) dimensional Boussinesq and Kadomtsev-Petviashvili equationintegrable sixth-order Drinfeld-Sokolov-Satsuma-Hirota equation

Mathematics Subject Classification ID

KdV equations (Korteweg-de Vries equations) (35Q53) Soliton equations (35Q51) Software, source code, etc. for problems pertaining to partial differential equations (35-04) Traveling wave solutions (35C07) Methods of ordinary differential equations applied to PDEs (35A24)

Related Items (6)

The \((G'/G)\)-expansion method for abundant traveling wave solutions of Caudrey-Dodd-Gibbon equation ⋮ New traveling wave solutions of the higher dimensional nonlinear partial differential equation by the Exp-function method ⋮ \(N\)-fold Darboux transformation and solitonic interactions of a variable-coefficient generalized Boussinesq system in shallow water ⋮ Exact solutions of equation generated by the Jaulent-Miodek hierarchy by \((G'/G)\)-expansion method ⋮ A modified approach to the new solutions of generalized mKdV equation using \((G'/G)\)-expansion ⋮ On the solutions and conservation laws of the coupled Drinfeld-Sokolov-Satsuma-Hirota system

Cites Work

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