Well-posedness, global existence and blow-up phenomena for an integrable multi-component Camassa-Holm system

2014/11/24 by Zhang, Zeng, Yin, Zhaoyang
#35G25 (Primary) 35L05 #FOS: Physical sciences #Mathematical Physics (math-ph)

paper · doi:10.48550/arxiv.1411.6402

Abstract

This paper is concerned with a multi-component Camassa-Holm system, which has been proven to be integrable and has peakon solutions. This system includes many one-component and two-component Camassa-Holm type systems as special cases. In this paper, we first establish the local well-posedness and a continuation criterion for the system, then we present several global existence or blow-up results for two important integrable two-component subsystems. Our obtained results cover and improve recent results in \citeGui,yan.

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