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
收藏
页码：154 / 177
页数：24
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