On peaked solitary waves of the Degasperis-Procesi equation

被引:0
|
作者
ShiJun Liao
机构
[1] Shanghai Jiao Tong University,State Key Laboratory of Ocean Engineering, Dept. of Mathematics, School of Naval Architecture, Ocean and Civil Engineering
来源
Science China Physics, Mechanics and Astronomy | 2013年 / 56卷
关键词
peaked solitary waves; discontinuity; Degasperis-Procesi equation;
D O I
暂无
中图分类号
学科分类号
摘要
The Degasperis-Procesi (DP) equation describing the propagation of shallow water waves contains a physical parameter ω, and it is well-known that the DP equation admits solitary waves with a peaked crest when ω = 0. In this article, we illustrate, for the first time, that the DP equation admits peaked solitary waves even when ω ≠ 0. This is helpful to enrich our knowledge and deepen our understandings about peaked solitary waves of the DP equation.
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页码:418 / 422
页数:4
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