Reciprocal link for a coupled Camassa-Holm type equation
classification
🧮 math-ph
math.MPnlin.SI
keywords
typecamassa-holmcoupledequationreciprocalanalyzedbehaviorsbi-hamiltonian
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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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