The novel solutions of auxiliary equation and their application to the (2+1)-dimensional Burgers equations

Deng-Shan Wang, Hong-Bo Li and Jike Wang

Chaos, Solitons & Fractals, 2008, vol. 38, issue 2, 374-382

Abstract: The present paper deals with families of non-trivial novel solutions of the general elliptic equation ϕ′2(ξ)=ddξϕ2=a0+a1ϕ+a2ϕ2+a3ϕ3+a4ϕ4. Based on these novel solutions, a direct and generalized algebraic algorithm is described to construct the new non-travelling wave solutions of systems of nonlinear partial differential equations (NLPDEs). Subsequently, a series of important non-travelling wave solutions of the (2+1)-dimensional Burgers equations are obtained.

Date: 2008
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Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:38:y:2008:i:2:p:374-382

DOI: 10.1016/j.chaos.2006.11.025

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