# American Institute of Mathematical Sciences

November  2011, 30(4): 1161-1180. doi: 10.3934/dcds.2011.30.1161

## Some remarks for a modified periodic Camassa-Holm system

 1 Department of Mathematics, Southeast University, Nanjing 210018 2 Natural Science Research Center, Harbin Institute of Technology, Harbin 150080, China

Received  May 2010 Revised  August 2010 Published  May 2011

This paper is concerned with a modified two-component periodic Camassa-Holm system. The local well-posedness and low regularity result of solution are established by using the techniques of pseudoparabolic regularization and some priori estimates derived from the equation itself. A wave-breaking for strong solutions and several results of blow-up solution with certain initial profiles are described. In addition, the initial boundary value problem for a modified two-component periodic Camassa-Holm system is also considered.
Citation: Guangying Lv, Mingxin Wang. Some remarks for a modified periodic Camassa-Holm system. Discrete & Continuous Dynamical Systems - A, 2011, 30 (4) : 1161-1180. doi: 10.3934/dcds.2011.30.1161
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