Characteristic integrals and general solution of the Ferapontov-Shabat-Yamilov lattice
Fuente:
arXiv
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| Formato: | Preprint |
| Publicado: |
2024
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| _version_ | 1866908345197133824 |
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| author | Demskoi, Dmitry K. |
| author_facet | Demskoi, Dmitry K. |
| contents | For the finite (non-periodic) systems obtained from a lattice introduced by Ferapontov and independently by Shabat and Yamilov, we present a quadrature-free general solution and a recurrent formula for the characteristic integrals. The derivation of these formulae relies on the underlying determinantal equations. We illustrate the results using a two-component system. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2412_19435 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Characteristic integrals and general solution of the Ferapontov-Shabat-Yamilov lattice Demskoi, Dmitry K. Exactly Solvable and Integrable Systems For the finite (non-periodic) systems obtained from a lattice introduced by Ferapontov and independently by Shabat and Yamilov, we present a quadrature-free general solution and a recurrent formula for the characteristic integrals. The derivation of these formulae relies on the underlying determinantal equations. We illustrate the results using a two-component system. |
| title | Characteristic integrals and general solution of the Ferapontov-Shabat-Yamilov lattice |
| topic | Exactly Solvable and Integrable Systems |
| url | https://arxiv.org/abs/2412.19435 |