Blow-up for the b-family of equations

Abstract:

In this paper, we consider the b-family of equations on the torus ut−utxx+(b + 1)uux=buxuxx+uuxxx, which for appropriate values of b reduces to well-known models, such as the Camassa–Holm equation or the Degasperis–Procesi equation. We establish a local-in-space blow-up criterion. Copyright © 2016 John Wiley & Sons, Ltd.

Año de publicación:

2017

Keywords:

• b - family of equations
• Camassa - Holm
• Degasperis - Procesi
• blow-up local criterion

Fuente:

scopus