Separation of Variables, Quasi-Trigonometric 𝑟-Matrices and Generalized Gaudin Models
We construct two new one-parametric families of separated variables for the classical Lax-integrable Hamiltonian systems governed by a one-parametric family of non-skew-symmetric, non-dynamical 𝖌𝔩(2)⊗𝖌𝔩(2)-valued quasi-trigonometric classical 𝑟-matrices. We show that for all but one classical 𝑟-matr...
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| Published in: | Symmetry, Integrability and Geometry: Methods and Applications |
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| Date: | 2021 |
| Main Author: | |
| Format: | Article |
| Language: | English |
| Published: |
Інститут математики НАН України
2021
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| Online Access: | https://nasplib.isofts.kiev.ua/handle/123456789/211354 |
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| Journal Title: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Cite this: | Separation of Variables, Quasi-Trigonometric 𝑟-Matrices and Generalized Gaudin Models. Taras Skrypnyk. SIGMA 17 (2021), 069, 21 pages |