Pseudo-potentials and local isometric immersion for a generalized Camassa-Holm equation describing pseudospherical surfaces
Mathematical Physics
2024-12-25 v1 math.MP
Abstract
A generalized Camassa-Holm equation, which describes pseudospherical surfaces, is considered. Using geometric methods, it is demonstrated that the equation is geometrically integrable. Additionally, an infinite hierarchy of conservation laws is derived. Furthermore, the paper delves into the investigation of the problem of locally isometric immersion into three-dimensional Euclidean space based on the equation.
Keywords
Cite
@article{arxiv.2412.18128,
title = {Pseudo-potentials and local isometric immersion for a generalized Camassa-Holm equation describing pseudospherical surfaces},
author = {Mingyue Guo and Zhenhua Shi},
journal= {arXiv preprint arXiv:2412.18128},
year = {2024}
}