LOCAL-IN-SPACE BLOW-UP CRITERIA FOR TWO-COMPONENT NONLINEAR DISPERSIVE WAVE SYSTEM

Abstract

We investigate the blow-up phenomena for the two-component generalizations of Camassa-Holm equation on the real line. We establish some a local-in-space blow-up criterion for system of coupled equations under certain natural initial profiles. Presented result extend and specify the earlier blow-up criteria for such type the system.