Well-posedness, global existence and blow-up phenomena for an integrable multi-component Camassa-Holm system
Mathematical Physics
2014-11-25 v1 math.MP
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 \cite{Gui,yan}.
Keywords
Cite
@article{arxiv.1411.6402,
title = {Well-posedness, global existence and blow-up phenomena for an integrable multi-component Camassa-Holm system},
author = {Zeng Zhang and Zhaoyang Yin},
journal= {arXiv preprint arXiv:1411.6402},
year = {2014}
}
Comments
29pages