Blow-up criteria for a two-component nonlinear dispersive wave system

Abstract

We investigate the blow-up phenomena for the two-component generalizations of nonlinear dispersive wave equation on the real line that includes the two-component Camassa-Holm system as well as the system for the hyperelasticrod wave equation as special cases. We establish a blowup criterion for system of coupled equations under certain natural initial profiles. The obtained criterion involves only the properties of the data u0 in a neighbourhood of a single point and consequently, it is local-in-space with respect to first component of the system under consideration. (C)2022 Elsevier Inc. All rights reserved.