Exact travelling wave solutions of the Whitham–Broer–Kaup and Broer–Kaup–Kupershmidt equations

Guiqiong Xu and Zhibin Li

Chaos, Solitons & Fractals, 2005, vol. 24, issue 2, 549-556

Abstract: In this paper, an interesting fact is found that the auxiliary equation method is also applicable to a coupled system of two different equations involving both even-order and odd-order partial derivative terms. Furthermore, singular travelling wave solutions can also be obtained by considering other types of exact solutions of auxiliary equation. The Whitham–Broer–Kaup and the (2+1)-dimensional Broer–Kaup–Kupershmidt equations are chosen as examples to illustrate the effectiveness of the auxiliary equation method.

Date: 2005
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Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:24:y:2005:i:2:p:549-556

DOI: 10.1016/j.chaos.2004.09.017

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