On Hamiltonian Formalism for Dressing Chain Equations of Even Periodicity
| Autor: | Aratyn, H., Gomes, J. F., Zimerman, A. H. |
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| Rok vydání: | 2021 |
| Předmět: | |
| Zdroj: | Open Communications in Nonlinear Mathematical Physics, Volume 2 (November 10, 2022) ocnmp:10161 |
| Druh dokumentu: | Working Paper |
| DOI: | 10.46298/ocnmp.10161 |
| Popis: | We propose a Hamiltonian formalism for $N$ periodic dressing chain with the even number $N$. The formalism is based on Dirac reduction applied to the $N+1$ periodic dressing chain with the odd number $N+1$ for which the Hamiltonian formalism is well known. The Hamilton dressing chain equations in the $N$ even case depend explicitly on a pair of conjugated Dirac constraints and are equivalent to $A^{(1)}_{N-1}$ invariant symmetric Painlev\'e equations. Comment: 13 pages, comment added in subsection 3.1 |
| Databáze: | arXiv |
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