On computation of Darboux polynomials for full Toda lattice
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arXiv
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| Format: | Preprint |
| Veröffentlicht: |
2025
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| _version_ | 1866909465363611648 |
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| author | Tsiganov, A. V. |
| author_facet | Tsiganov, A. V. |
| contents | One of the oldest methods for computing invariants of ordinary differential equations is tested using the full Toda lattice model. We show that the standard method of undetermined coefficients and modern symbolic algebra tools together with sufficient computing power allow to compute Darboux invariants without any additional information. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2501_14251 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | On computation of Darboux polynomials for full Toda lattice Tsiganov, A. V. Exactly Solvable and Integrable Systems Mathematical Physics Dynamical Systems One of the oldest methods for computing invariants of ordinary differential equations is tested using the full Toda lattice model. We show that the standard method of undetermined coefficients and modern symbolic algebra tools together with sufficient computing power allow to compute Darboux invariants without any additional information. |
| title | On computation of Darboux polynomials for full Toda lattice |
| topic | Exactly Solvable and Integrable Systems Mathematical Physics Dynamical Systems |
| url | https://arxiv.org/abs/2501.14251 |