Construction of a series of travelling wave solutions to nonlinear equations

Hong Zhao

Chaos, Solitons & Fractals, 2008, vol. 36, issue 5, 1283-1294

Abstract: In this paper, based on new auxiliary ordinary differential equation with a sixth-degree nonlinear term, we study the (1+1)-dimensional combined KdV–MKdV equation, Hirota equation and (2+1)-dimensional Davey–Stewartson equation. Then, a series of new types of travelling wave solutions are obtained which include new bell and kink profile solitary wave solutions, triangular periodic wave solutions and singular solutions. The method used here can be also extended to many other nonlinear partial differential equations.

Date: 2008
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Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:36:y:2008:i:5:p:1283-1294

DOI: 10.1016/j.chaos.2006.07.047

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