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A new type of bounded waves for Degasperis–Procesi equation

Can Chen and Minying Tang

Chaos, Solitons & Fractals, 2006, vol. 27, issue 3, 698-704

Abstract: In this paper we use integral method and numerical approach to show that Degasperis–Procesi equationut-uxxt+4uux=3uxuxx+uuxxx,has new bounded waves which are defined on some semifinal bounded domains and possess properties of kink waves or antikink waves. Their implicit expressions are obtained. For a set of concrete data, the planar diagrams of the implicit expressions and their numerical simulations are displayed. It is seen that the planar diagrams are identical with the simulations.

Date: 2006
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Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:27:y:2006:i:3:p:698-704

DOI: 10.1016/j.chaos.2005.04.040

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