The presentation of explicit analytical solutions of a class of nonlinear evolution equations

Feng Jin-Shun, Guo Ming-Pu and Yuan Deyou

Chaos, Solitons & Fractals, 2009, vol. 41, issue 5, 2422-2428

Abstract: In this paper, we introduce a function set Ωm. There is a conjecture that an arbitrary explicit travelling-wave analytical solution of a real constant coefficient nonlinear evolution equation is necessarily a linear (or nonlinear) combination of the product of some elements in Ωm. A widespread applicable approach for solving a class of nonlinear evolution equations is established. The new analytical solutions to two kinds of nonlinear evolution equations are described with the aid of the guess.

Date: 2009
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Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:41:y:2009:i:5:p:2422-2428

DOI: 10.1016/j.chaos.2008.09.019

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