18 citations · 48 across the 6 of their papers we have counts for
6 papers
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…
Gauge equivalence of 1+1 Calogero-Moser-Sutherland field theory and higher rank trigonometric Landau-Lifshitz model
K. Atalikov, A. Zotov
We consider the classical integrable 1+1 trigonometric Landau-Lifshitz models constructed by means of quantum -matrices satisfying also the associative Yang-Baxter…
Gauge equivalence between 1+1 rational Calogero-Moser field theory and higher rank Landau-Lifshitz equation
K. Atalikov, A. Zotov
In this paper we study 1+1 field generalization of the rational -body Calogero-Moser model. We show that this model is gauge equivalent to some special higher rank matrix Landau…
Higher rank generalization of 11-vertex rational R-matrix: IRF-Vertex relations and associative Yang-Baxter equation
K. Atalikov, A. Zotov
We study rational -matrix, which turns into the 11-vertex -matrix in the case. First, we describe its relations to dynamical and semi-dynamical -matrice…
Higher rank 1+1 integrable Landau-Lifshitz field theories from associative Yang-Baxter equation
K. Atalikov, A. Zotov
We propose a construction of 1+1 integrable Heisenberg-Landau-Lifshitz type equations in the case. The dynamical variables are matrix elements of matrix $S…
Field theory generalizations of two-body Calogero-Moser models in the form of Landau-Lifshitz equations
K. Atalikov, A. Zotov
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 base…