New explicit solutions for (2+1)-dimensional soliton equation

Caier Ye and Weiguo Zhang

Chaos, Solitons & Fractals, 2011, vol. 44, issue 12, 1063-1069

Abstract: In this Letter, we study (2+1)-dimensional soliton equation by using the bifurcation theory of planar dynamical systems. Following a dynamical system approach, in different parameter regions, we depict phase portraits of a travelling wave system. Bell profile solitary wave solutions, kink profile solitary wave solutions and periodic travelling wave solutions are given. Further, we present the relations between the bounded travelling wave solutions and the energy level h. Through discussing the energy level h, we obtain all explicit formulas of solitary wave solutions and periodic wave solutions.

Date: 2011
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Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:44:y:2011:i:12:p:1063-1069

DOI: 10.1016/j.chaos.2011.08.011

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