The long wave limiting of the discrete nonlinear evolution equations

Yi Zhang, Hai-qiong Zhao and Ji-bin Li

Chaos, Solitons & Fractals, 2009, vol. 42, issue 5, 2965-2972

Abstract: We show here that rational, positon, negaton, breather solutions of some discrete nonlinear evolution equations are presented via long wave limiting method. The discrete nonlinear evolution equations concerned are 1D Toda lattice, differential-difference KdV, differential-difference analogue KdV equations.

Date: 2009
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Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:42:y:2009:i:5:p:2965-2972

DOI: 10.1016/j.chaos.2009.04.047

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