A generalized nonisospectral Camassa-Holm equation and its multipeakon solutions

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.

arXiv comment23 pages

References in corpus (5)

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Cited by in corpus (7)

• Degasperis-Procesi peakon dynamical system and finite Toda lattice of CKP type
• A view of the peakon world through the lens of approximation theory
• An Application of Pfaffians to multipeakons of the Novikov equation and the finite Toda lattice of BKP type
• Multipeakons of a two-component modified Camassa-Holm equation and the relation with the finite Kac-van Moerbeke lattice
• Dynamical behavior near self-similar blowup waves for the generalized b-equation
• Pseudo-peakons and Cauchy analysis for an integrable fifth-order equation of Camassa-Holm type
• Global-in-time solvability and blow-up for a non-isospectral two-component cubic Camassa-Holm system in a critical Besov space