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pro vyhledávání: '"Atalikov, K."'
Autor:
Atalikov, K., Zotov, A.
Publikováno v:
Theoret. and Math. Phys., 219:3 (2024), 1004-1017
We consider the classical integrable 1+1 trigonometric ${\rm gl}_N$ Landau-Lifshitz models constructed by means of quantum $R$-matrices satisfying also the associative Yang-Baxter equation. It is shown that 1+1 field analogue of the trigonometric Cal
Externí odkaz:
http://arxiv.org/abs/2403.00428
Autor:
Atalikov, K., Zotov, A.
Publikováno v:
Jetp Lett. 117, 630-634 (2023)
In this paper we study 1+1 field generalization of the rational $N$-body Calogero-Moser model. We show that this model is gauge equivalent to some special higher rank matrix Landau-Lifshitz equation. The latter equation is described in terms of ${\rm
Externí odkaz:
http://arxiv.org/abs/2303.08020
Autor:
Atalikov, K., Zotov, A.
Publikováno v:
Theoret. and Math. Phys., 216:2 (2023) 1083-1103
We study ${\rm GL}_N$ rational $R$-matrix, which turns into the 11-vertex $R$-matrix in the $N=2$ case. First, we describe its relations to dynamical and semi-dynamical $R$-matrices using the IRF-Vertex type transformations. As a by-product a new exp
Externí odkaz:
http://arxiv.org/abs/2303.02391
Autor:
Atalikov, K., Zotov, A.
Publikováno v:
Jetp Lett. 115, 757-762 (2022)
We propose a construction of 1+1 integrable Heisenberg-Landau-Lifshitz type equations in the ${\rm gl}_N$ case. The dynamical variables are matrix elements of $N\times N$ matrix $S$ with the property $S^2={\rm const}\cdot S$. The Lax pair with spectr
Externí odkaz:
http://arxiv.org/abs/2204.12576
Autor:
Atalikov, K., Zotov, A.
Publikováno v:
J. Geom. Phys., 164 (2021) 104161
We give detailed description for continuous version of the classical IRF-Vertex relation, where on the IRF side we deal with the Calogero-Moser-Sutherland models. Our study is based on constructing modifications of the Higgs bundles of infinite rank
Externí odkaz:
http://arxiv.org/abs/2010.14297
Autor:
Atalikov, K., Zotov, A.
Publikováno v:
In Journal of Geometry and Physics June 2021 164
Autor:
Atalikov, K. R., Zotov, A. V.
Publikováno v:
Theoretical & Mathematical Physics; Jun2024, Vol. 219 Issue 3, p1004-1017, 14p
Autor:
Atalikov, K. R., Zotov, A. V.
Publikováno v:
Theoretical & Mathematical Physics; Aug2023, Vol. 216 Issue 2, p1083-1103, 21p
Autor:
Atalikov, K., Zotov, A.
Publikováno v:
JETP Letters; Apr2023, Vol. 117 Issue 8, p630-634, 5p
Autor:
Atalikov, K., Zotov, A.
Publikováno v:
JETP Letters; Jun2022, Vol. 115 Issue 12, p757-762, 6p