Initial value space of the four dimensional Painlevé system with $(A_5+A_1)^{(1)}$ symmetry
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arXiv
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| Autores principales: | , |
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| Formato: | Preprint |
| Publicado: |
2025
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| _version_ | 1866917239975837696 |
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| author | Matsugashita, Kazuya Suzuki, Takao |
| author_facet | Matsugashita, Kazuya Suzuki, Takao |
| contents | The initial value spaces of the Painlevé equations are proposed by Okamoto. They are symplectic manifolds in which the Painlevé equations are described as polynomial Hamiltonian systems on all coordinates. In this article, we construct an initial value space of the four dimensional Painlevé system with affine Weyl group symmetry of type $(A_5+A_1)^{(1)}$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2508_05126 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Initial value space of the four dimensional Painlevé system with $(A_5+A_1)^{(1)}$ symmetry Matsugashita, Kazuya Suzuki, Takao Classical Analysis and ODEs Mathematical Physics 34M55, 33E17, 37K35 The initial value spaces of the Painlevé equations are proposed by Okamoto. They are symplectic manifolds in which the Painlevé equations are described as polynomial Hamiltonian systems on all coordinates. In this article, we construct an initial value space of the four dimensional Painlevé system with affine Weyl group symmetry of type $(A_5+A_1)^{(1)}$. |
| title | Initial value space of the four dimensional Painlevé system with $(A_5+A_1)^{(1)}$ symmetry |
| topic | Classical Analysis and ODEs Mathematical Physics 34M55, 33E17, 37K35 |
| url | https://arxiv.org/abs/2508.05126 |