New exact solution profiles of the nonlinear dispersion Drinfel’d–Sokolov (D(m,n)) system

Fuding Xie and Zhenya Yan

Chaos, Solitons & Fractals, 2009, vol. 39, issue 2, 866-872

Abstract: In this paper, to understand the role of nonlinear dispersion in the coupled systems, the nonlinear dispersion Drinfel’d–Sokolov system (called D(m,n) system) is investigated. As a consequence, many types of compacton and solitary pattern solutions are obtained. Moreover, some solitary wave solutions are also deduced for differential parameters m, n. When n=1, the D(m,1) system with linear dispersion is shown to possess also compacton and solitary pattern solutions, which contain the known results. Moreover, some rational solutions of D(m,n) system are also deduced.

Date: 2009
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Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:39:y:2009:i:2:p:866-872

DOI: 10.1016/j.chaos.2007.01.137

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