Bifurcations of travelling wave solutions in a non-linear dispersive equation

Xiaoshan Zhao, Huabing Jia, Hongxian Zhou and Yaning Tang

Chaos, Solitons & Fractals, 2008, vol. 37, issue 2, 525-531

Abstract: By using the theory of bifurcations of dynamical systems to a class of the generalized Benjamin–Bona–Mahony (GBBM) equation, the existence of solitary wave solutions and uncountably infinite many smooth and non-smooth periodic wave solutions is obtained. Under different parametric conditions, various sufficient conditions to guarantee the existence of the above solutions are given.

Date: 2008
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Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:37:y:2008:i:2:p:525-531

DOI: 10.1016/j.chaos.2006.09.028

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