Algebraic curves as a source of separable multi-Hamiltonian systems
Fuente:
arXiv
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| Autori principali: | , |
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| Natura: | Preprint |
| Pubblicazione: |
2024
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| _version_ | 1866914901914550272 |
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| author | Blaszak, Maciej Marciniak, Krzysztof |
| author_facet | Blaszak, Maciej Marciniak, Krzysztof |
| contents | In this paper we systematically consider various ways of generating integrable and separable Hamiltonian systems in canonical and in non-canonical representations from algebraic curves on the plane. In particular, we consider Stäckel transform between two pairs of Stäckel systems, generated by 2n-parameter algebraic curves on the plane, as well as Miura maps between Stäckel systems generated by (n+N)-parameter algebraic curves, leading to multi-Hamiltonian representation of these systems. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2401_04673 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Algebraic curves as a source of separable multi-Hamiltonian systems Blaszak, Maciej Marciniak, Krzysztof Exactly Solvable and Integrable Systems Mathematical Physics 14H70, 37J35, 70H20 In this paper we systematically consider various ways of generating integrable and separable Hamiltonian systems in canonical and in non-canonical representations from algebraic curves on the plane. In particular, we consider Stäckel transform between two pairs of Stäckel systems, generated by 2n-parameter algebraic curves on the plane, as well as Miura maps between Stäckel systems generated by (n+N)-parameter algebraic curves, leading to multi-Hamiltonian representation of these systems. |
| title | Algebraic curves as a source of separable multi-Hamiltonian systems |
| topic | Exactly Solvable and Integrable Systems Mathematical Physics 14H70, 37J35, 70H20 |
| url | https://arxiv.org/abs/2401.04673 |