On peaked solitary waves of Degasperis - Procesi equation

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 $\omega \ne 0$. This is helpful to enrich our knowledge and deepen our understandings about peaked solitary waves of the DP equation.

11 pages, 3 figures, accepted by Science China - Physics, Mechanics & Astronomy

References in corpus (3)

• An integrable shallow water equation with peaked solitons
• Two kinds of peaked solitary waves of the KdV, BBM and Boussinesq equations
• On peaked solitary waves of Camassa-Holm equation

Cited by in corpus (2)

• Analytic Solutions of Von Karman Plate under Arbitrary Uniform Pressure (II): Equations in Integral Form
• Do peaked solitary water waves indeed exist?