Rational formal solutions of differential-difference equations

Yaxuan Yu, Qi Wang and Caixia Gao

Chaos, Solitons & Fractals, 2007, vol. 33, issue 5, 1642-1651

Abstract: In this paper, we study rational formal solutions of differential-difference equations by using a generalized ansätz. With the help of symbolic computation Maple, we obtain many explicit exact solutions of differential-difference equations(DDEs). The solutions contain solitary wave solutions and periodic wave solutions. The (2+1)-dimensional Toda lattice equation, relativistic Toda lattice equation and the discrete mKdV equation are chosen to illustrate our algorithm.

Date: 2007
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Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:33:y:2007:i:5:p:1642-1651

DOI: 10.1016/j.chaos.2006.03.013

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