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arXiv · 1205.5396

On peaked solitary waves of Degasperis - Procesi equation

Shijun Liao
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Abstract

The Degasperis - Procesi (DP) equation describing the propagation of shallow water waves contains a physical parameter $\omega$, and it is well-known that the DP equation admits solitary waves with a peaked crest when $\omega = 0$. In this article, we illustrate, for the first time, that the DP equation admits peaked solitary waves even when $\omega \neq 0$. This is helpful to enrich our knowledge and deepen our understandings about peaked solitary waves of the DP equation.

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Shijun Liao. 2012-05-24. On peaked solitary waves of Degasperis - Procesi equation. https://doi.org/10.1007/s11433-013-4993-9

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