Blow-up phenomena for the rotation-two-component Camassa-Holm system

Abstract

In this paper, we study blow-up phenomena for the rotation-two-component Camassa- Holm (R2CH) system, a model of equatorial water waves that includes the effect of the Coriolis force. We first derive the precise blow-up scenario for R2CH with ? > 0: Then, we present two new blow-up results for strong solutions to the system and then the precise blow-up rate for strong solutions to the system is given.

References in corpus (5)

• An integrable shallow water equation with peaked solitons
• On an integrable two-component Camassa-Holm shallow water system
• A 2-Component Generalization of the Camassa-Holm Equation and Its Solutions
• Two component integrable systems modelling shallow water waves: the constant vorticity case
• The geometry of the two-component Camassa-Holm and Degasperis-Procesi equations