Pseudo-potentials and local isometric immersion for a generalized Camassa-Holm equation describing pseudospherical surfaces
Fuente:
arXiv
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| Autores principales: | , |
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| Formato: | Preprint |
| Publicado: |
2024
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| Acceso en línea: | |
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| _version_ | 1866909440188350464 |
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| author | Guo, Mingyue Shi, Zhenhua |
| author_facet | Guo, Mingyue Shi, Zhenhua |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2412_18128 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Pseudo-potentials and local isometric immersion for a generalized Camassa-Holm equation describing pseudospherical surfaces Guo, Mingyue Shi, Zhenhua Mathematical Physics 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. |
| title | Pseudo-potentials and local isometric immersion for a generalized Camassa-Holm equation describing pseudospherical surfaces |
| topic | Mathematical Physics |
| url | https://arxiv.org/abs/2412.18128 |