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A note on a modified two-component Camassa-Holm system

Authors:	Liangbing Jin Zhengguang Guo

Affiliation:	^a Department of Mathematics, Zhejiang Normal University, Jinhua 321004, Zhejiang, PR China ^b College of Mathematics and Information Science, Wenzhou University, Wenzhou 325035, Zhejiang, PR China

Abstract:	We consider the asymptotic behavior of solutions for a modified two-component Camassa-Holm (MCH2) system which arises in shallow water theory. It is proved that the corresponding solution to initial data with algebraic decay at infinity will retain this property in its lifespan.

Keywords:	MCH2 system Asymptotic behavior
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