Reciprocal link for a coupled Camassa-Holm type equation

Abstract

A coupled Camassa-Holm type equation is linked to the first negative flow of a modified Drinfeld-Sokolov III hierarchy by a transformation of reciprocal type. Meanwhile the Lax pair and bi-Hamiltonian structure behaviors of this coupled Camassa-Holm type equation under change of variables are analyzed.

References in corpus (5)

• On an integrable two-component Camassa-Holm shallow water system
• Inverse Scattering Transform for the Camassa-Holm equation
• Degasperis-Procesi peakons and the discrete cubic string
• A synthetical two-component model with peakon solutions
• Hamiltonian Structures for the Ostrovsky-Vakhnenko Equation

Cited by in corpus (1)

• Reciprocal link for a three-component Camassa-Holm type equation