Reciprocal link for a three-component Camassa-Holm type equation
Nianhua Li
TL;DR
This paper explores a reciprocal transformation for a three-component Camassa-Holm type equation, revealing its connection to the first negative flow of an extended MKdV hierarchy, thus linking different integrable systems.
Contribution
It introduces a reciprocal transformation that relates a three-component Camassa-Holm type equation to an extended MKdV hierarchy, providing new insights into their integrability.
Findings
The transformed system is a reduction of the first negative flow for an extended MKdV hierarchy.
The reciprocal transformation links the Camassa-Holm type equation to well-known integrable hierarchies.
The approach enhances understanding of the structure and solutions of multi-component integrable equations.
Abstract
We discuss a reciprocal transformation for a three-component Camassa-Holm type equation and find that the transformed system is a reduction of the first negative flow for an extended MKdV hierarchy.
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Taxonomy
TopicsNonlinear Waves and Solitons · Nonlinear Photonic Systems · Algebraic structures and combinatorial models