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

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• 作者：Zeng Zhang^a ; ^b ; ^{zhangzeng534534@163.com" class="auth_mail" title="E-mail the corresponding author} ; Zhaoyang Yin^b ; ^c ; ^{mcsyzy@mail.sysu.edu.cn" class="auth_mail" title="E-mail the corresponding author}
• 关键词：35G25 ; 35L05
• 刊名：Nonlinear Analysis
• 出版年：2016
• 出版时间：September 2016
• 年：2016
• 卷：142
• 期：Complete
• 页码：112-133
• 全文大小：652 K

文摘

This paper is concerned with a new integrable 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 and blow-up results for two important integrable two-component subsystems. Our obtained results cover and improve considerably recent results in Gui et al. (2013), Yan et al. (2015).