A generalized nonisospectral Camassa-Holm equation and its multipeakon solutions
arXiv:1411.4217 · doi:10.1016/j.aim.2014.06.016
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.
23 pages