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math-ph2024
Pseudo-potentials and local isometric immersion for a generalized Camassa-Holm equation describing pseudospherical surfaces
Mingyue Guo, Zhenhua Shi
A generalized Camassa-Holm equation, which describes pseudospherical surfaces, is considered. Using geometric methods, it is demonstrated that the equation is geometrically integra…
nlin.SI2024
The Quasi-Integrability of a Generalized Camassa-Holm Equation
Mingyue Guo, Zhenhua Shi
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 an…