New ansätz for obtaining wave solutions of the generalized Camassa–Holm equation

S.A. Khuri

Chaos, Solitons & Fractals, 2005, vol. 25, issue 3, 705-710

Abstract: An alternate approach is proposed for obtaining periodic wave and peaked solitary wave solutions of the following nonlinear generalized Camassa–Holm equationut+2kux-uxxt+aumux=2uxuxx+uuxxxFor m=1,2,3 we give the explicit expressions for the peakons. The ansätz, introduced in this paper, will also demonstrate the existence of a new class of discontinuous soliton solutions with infinite spikes.

Date: 2005
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Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:25:y:2005:i:3:p:705-710

DOI: 10.1016/j.chaos.2004.11.083

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