DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS, cilt.39, sa.10, ss.6023-6037, 2019 (SCI-Expanded)
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.