Analytic solutions of the Cauchy problem for two-component shallow water systems

被引：36

作者：

Yan, Kai ^{[1
]}

Yin, Zhaoyang ^{[1
]}

机构：

[1] Sun Yat Sen Univ, Dept Math, Guangzhou 510275, Guangdong, Peoples R China

来源：

MATHEMATISCHE ZEITSCHRIFT | 2011年 / 269卷 / 3-4期

关键词：

A modified two-component Camassa-Holm shallow water system; Analytic solutions; Two-component Camassa-Holm shallow water system; The b-equation; CAMASSA-HOLM EQUATION; BLOW-UP PHENOMENA; KORTEWEG-DE-VRIES; WELL-POSEDNESS; WAVES; STABILITY; TRAJECTORIES; SCATTERING; SOLITONS; PEAKONS;

D O I：

10.1007/s00209-010-0775-5

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

This paper is mainly concerned with the Cauchy problem for a modified two-component Camassa-Holm shallow water system with analytic initial data. The analyticity of its solutions is proved in both variables, globally in space and locally in time. The obtained results can be also applied to the classical integrable two-component Camassa-Holm shallow water system and the b-equation.

引用

页码：1113 / 1127

页数：15

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