3 papers
nlin.SI2025
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…
math-ph2025
Integrable deformations of principal chiral model from solutions of associative Yang-Baxter equation
D. Domanevsky, A. Levin, M. Olshanetsky +1
We describe deformations of the classical principle chiral model and 1+1 Gaudin model related to Lie group. The deformations are generated by -matrices satisfying t…
nlin.SI2025
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…