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nlin.SI2025★ 3 cited
Classical integrable spin chains of Landau-Lifshitz type from R-matrix identities
D. Domanevsky, A. Zotov
We describe a family of 1+1 classical integrable space-discrete models of the Landau-Lifshitz type through the usage of ansatz for - (Lax) pair with spectral parameter satisf…
nlin.SI2024★ 5 cited
On the field analogue of elliptic spin Calogero-Moser model: Lax pair and equations of motion
A. Zotov
The Lax pair for the field analogue of the classical spin elliptic Calogero-Moser is proposed. Namely, using the previously known Lax matrix we suggest an ansatz for the accompany…
nlin.SI2007★ 7 cited
Quadratic algebras related to elliptic curves
Yu. Chernyakov, A. M. Levin, M. Olshanetsky +1
We construct quadratic finite-dimensional Poisson algebras and their quantum versions related to rank N and degree one vector bundles over elliptic curves with n marked points. The…