A generalized nonisospectral Camassa-Holm equation and its multipeakon solutions

被引：21

作者：

Chang, Xiangke ^{[1
,2
]}

Chen, Xiaomin ^{[1
,2
]}

Hu, Xingbiao ^{[1
]}

机构：

[1] Chinese Acad Sci, Acad Math & Syst Sci, LSEC, ICMSEC, Beijing 100190, Peoples R China

[2] Univ Chinese Acad Sci, Beijing, Peoples R China

来源：

ADVANCES IN MATHEMATICS | 2014年 / 263卷

基金：

中国国家自然科学基金;

关键词：

Nonisospectral Camassa-Holm equation; Multipeakon solutions; Determinant technique; PEAKON SOLUTIONS; STABILITY; SOLITONS;

D O I：

10.1016/j.aim.2014.06.016

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Motivated by the paper of Beals, Sattinger and Szmigielski (2000) [3], we propose an extension of the Camassa-Holm equation, which also admits the multipeakon solutions. The novel aspect is that our approach is mainly based on classic determinant technique. Furthermore, the proposed equation is shown to possess a nonisospectral Lax pair. (C) 2014 Elsevier Inc. All rights reserved.

引用

页码：154 / 177

页数：24

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