On an integrable two-component Camassa-Holm shallow water system

被引：393

作者：

Constantin, Adrian ^{[1
,2
]}

Ivanov, Rossen I. ^{[1
,3
]}

机构：

[1] Lund Univ, Dept Math, S-22100 Lund, Sweden

[2] Univ Vienna, Fac Math, A-1090 Vienna, Austria

[3] Dublin Inst Technol, Sch Math Sci, Dublin 8, Ireland

来源：

PHYSICS LETTERS A | 2008年 / 372卷 / 48期

关键词：

D O I：

10.1016/j.physleta.2008.10.050

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

The interest in the Camassa-Holm equation inspired the search for various generalizations of this equation With interesting properties and applications. In this Letter we deal with such a two-component integrable system Of Coupled equations. First we derive the system in the context of shallow water theory. Then we show that while small initial data develop into global Solutions, for some initial data wave breaking Occurs. We also discuss the Solitary Wave Solutions. Finally, we present all explicit construction for the peakon Solutions in the short wave limit of system. (C) 2008 Elsevier B.V. All rights reserved.

引用

页码：7129 / 7132

页数：4

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