A generalized nonisospectral Camassa-Holm equation and its multipeakon solutions
Mathematical Physics
2014-11-18 v1 math.MP
Exactly Solvable and Integrable Systems
Abstract
Motivated by the paper (Beals, Sattinger and Szmigielski, Adv. Math. 154 (2000) 229--257), 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.
Keywords
Cite
@article{arxiv.1411.4217,
title = {A generalized nonisospectral Camassa-Holm equation and its multipeakon solutions},
author = {Xiangke Chang and Xiaomin Chen and Xingbiao Hu},
journal= {arXiv preprint arXiv:1411.4217},
year = {2014}
}
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23 pages