The Cauchy problem for an integrable two-component model with peakon solutions

被引：3
|
作者：
Mi, Yongsheng [1 ,2 ]
Mu, Chunlai [1 ]
机构：
[1] Chongqing Univ, Coll Math & Stat, Chongqing 401331, Peoples R China
[2] Yangtze Normal Univ, Coll Math & Comp Sci, Fuling 408100, Peoples R China
来源：
APPLICABLE ANALYSIS | 2014年 / 93卷 / 04期
关键词：
Besov spaces; Camassa-Holm-type equation; local well-posedness; 35B30; 35G25; 35A10; 35Q53; SHALLOW-WATER EQUATION; GLOBAL CONSERVATIVE SOLUTIONS; CAMASSA-HOLM EQUATION; GEODESIC-FLOW; DISSIPATIVE SOLUTIONS; BREAKING WAVES; TRAJECTORIES; ANALYTICITY; STABILITY; EXISTENCE;
D O I：
10.1080/00036811.2013.800191
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we are concerned with the Cauchy problem of the new integrable two-componnt system with cubic non-linearity, which was proposed by Xia, Qiao and Zhou. We establish the local well-posedness in a range of the Besov spaces. Moreover, with analytic initial data, we show that its solutions are analytic in both variables, globally in space and locally in time.
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页码：840 / 858
页数：19
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