The Quasi-Integrability of a Generalized Camassa-Holm Equation

Autor:	Guo, Mingyue, Shi, Zhenhua
Rok vydání:	2024
Předmět:	Nonlinear Sciences - Exactly Solvable and Integrable Systems Mathematical Physics
Druh dokumentu:	Working Paper
Popis:	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.
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2412.01260 Zobrazit plný text záznamu View this record from Arxiv