A reciprocal transformation for a 3-component Camassa-Holm type system
Nianhua Li
TL;DR
This paper introduces a reciprocal transformation linking a 3-component Camassa-Holm system to a generalized MKdV hierarchy, and explores its bi-Hamiltonian structure, advancing understanding of integrable systems.
Contribution
It constructs a reciprocal transformation for a 3-component Camassa-Holm system and analyzes its bi-Hamiltonian structure, providing new insights into integrable systems.
Findings
Connected the 3-component Camassa-Holm system with the first negative flow of a generalized MKdV hierarchy.
Established a bi-Hamiltonian structure for the transformed system.
Enhanced understanding of the integrability properties of multi-component Camassa-Holm systems.
Abstract
A reciprocal transformation for a 3-component Camassa-Holm type system is constructed to connect it with the first negative flow of a generalized MKdV hierarchy, and a bi-Hamiltonian structure for the transformed system is also considered.
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Taxonomy
TopicsNonlinear Waves and Solitons · Nonlinear Photonic Systems · Algebraic structures and combinatorial models