The Quasi-Integrability of a Generalized Camassa-Holm Equation
Exactly Solvable and Integrable Systems
2024-12-03 v1 Mathematical Physics
math.MP
Abstract
This paper examines a generalization of the Camassa-Holm equation from the perspective of integrability. Using the framework developed by Dubrovin on bi-Hamiltonian deformations and the general theory of quasi-integrability, we demonstrate that a unique bi-Hamiltonian structure is possible for this generalized equation only when it reduces to the original CH equation.
Keywords
Cite
@article{arxiv.2412.01260,
title = {The Quasi-Integrability of a Generalized Camassa-Holm Equation},
author = {Mingyue Guo and Zhenhua Shi},
journal= {arXiv preprint arXiv:2412.01260},
year = {2024}
}