A generalized nonisospectral Camassa-Holm equation and its multipeakon solutions

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.