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Title of Journal: Sci China Math

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Abbravation: Science China Mathematics

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SP Science China Press

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DOI

10.1016/0003-4975(89)90627-9

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1869-1862

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Travelling wave solutions of a generalized Camassa

Authors: ShengFu Deng BoLing Guo TingChun Wang
Publish Date: 2011/03/08
Volume: 54, Issue: 3, Pages: 555-572
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Abstract

The travelling wave solutions of a generalized CamassaHolmDegasperisProcesi equation u t −u xxt + 1+bu m u x = bu x + uu xxx are considered where b 1 and m are positive integers The qualitative analysis methods of planar autonomous systems yield its phase portraits Its soliton wave solutions kink or antikink wave solutions peakon wave solutions compacton wave solutions periodic wave solutions and periodic cusp wave solutions are obtained Some numerical simulations of these solutions are also given

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