On certain solvable systems of 4 nonlinear Ordinary Differential Equations
Fuente:
arXiv
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| Format: | Preprint |
| Publié: |
2025
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| _version_ | 1866915092684079104 |
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| author | Calogero, Francesco |
| author_facet | Calogero, Francesco |
| contents | Some interesting (periodic!) solutions of certain systems of $4$ nonlinear Ordinary Differential Equations $dx_{n}\left( t\right) /dt=P_{2}^{\left( n\right) }\left[ x_{m}\left( t\right) \right] /\left[ x_{1}\left( t\right) +x_{2}\left( t\right) \right] ,~n,m=1,2,3,4~$, where $P_{2}^{\left( n\right) }\left[ x_{m}\left( t\right) \right] $ are $4$ polynomials of degree $2$ in the $4$ dependent variables $x_{m}\left( t\right) $, are obtained. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2501_03127 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | On certain solvable systems of 4 nonlinear Ordinary Differential Equations Calogero, Francesco Exactly Solvable and Integrable Systems Some interesting (periodic!) solutions of certain systems of $4$ nonlinear Ordinary Differential Equations $dx_{n}\left( t\right) /dt=P_{2}^{\left( n\right) }\left[ x_{m}\left( t\right) \right] /\left[ x_{1}\left( t\right) +x_{2}\left( t\right) \right] ,~n,m=1,2,3,4~$, where $P_{2}^{\left( n\right) }\left[ x_{m}\left( t\right) \right] $ are $4$ polynomials of degree $2$ in the $4$ dependent variables $x_{m}\left( t\right) $, are obtained. |
| title | On certain solvable systems of 4 nonlinear Ordinary Differential Equations |
| topic | Exactly Solvable and Integrable Systems |
| url | https://arxiv.org/abs/2501.03127 |