Reciprocal link for a coupled Camassa-Holm type equation
Nianhua Li, Jinshun Zhang, Lihua Wu
TL;DR
This paper explores a coupled Camassa-Holm type equation, revealing its connection to a hierarchy in integrable systems, and analyzes its Lax pair and bi-Hamiltonian structure under variable transformations.
Contribution
It establishes a reciprocal link between the coupled Camassa-Holm equation and a modified Drinfeld-Sokolov hierarchy, and studies its integrable structures.
Findings
Linked the coupled Camassa-Holm equation to a hierarchy via reciprocal transformation
Analyzed the Lax pair structure of the equation
Examined the bi-Hamiltonian structure under variable change
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.
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