most citedClassical r-matrix structure for elliptic Ruijsenaars chain and 1+1 field analogue of Ruijsenaars-Schneider model

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math-ph2025

Classical r-matrix structure for elliptic Ruijsenaars chain and 1+1 field analogue of Ruijsenaars-Schneider model

D. Murinov, A. Zotov

The classical dynamical -matrix structure for the periodic elliptic Ruijsenaars chain is described. The Poisson brackets for the monodromy matrix are calculated as well, thus pr…

math-ph2025

Field generalization of elliptic Calogero-Moser system in the form of higher rank Landau-Lifshitz model

K. Atalikov, A. Zotov

We prove gauge equivalence between integrable field generalization of the elliptic Calogero-Moser model and the higher rank XYZ Landau-Lifshitz model of vector type on 1+1 dimensio…