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Wave Breaking and Measure of Momentum Support for an Integrable Camassa-Holm System with Two Components

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Address for correspondence: Zhengguang Guo, College of Mathematics and Information Science, Wenzhou University, Wenzhou 325035, Zhejiang, China; e-mail: gzgmath@wzu.edu.cn

Abstract

We discuss a new integrable two-component Camassa-Holm equation which describes the motion of fluid. This paper is concerned with the wave breaking mechanism for the Cauchy problem with periodic condition where two special classes of initial data are involved. Moreover, the estimate of momentum support is also shown.

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