A generalized nonisospectral Camassa–Holm equation and its multipeakon solutions

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.