Abstract
Abstract
We introduce a family of classical integrable systems describing dynamics of M interacting gl
N
integrable tops. It extends the previously known model of interacting elliptic tops. Our construction is based on the GL
N
R-matrix satisfying the associative Yang-Baxter equation. The obtained systems can be considered as extensions of the spin type Calogero-Moser models with (the classical analogues of) anisotropic spin exchange operators given in terms of the R-matrix data. In N = 1 case the spin Calogero-Moser model is reproduced. Explicit expressions for gl
NM
-valued Lax pair with spectral parameter and its classical dynamical r-matrix are obtained. Possible applications are briefly discussed.
Publisher
Springer Science and Business Media LLC
Subject
Nuclear and High Energy Physics
Cited by
10 articles.
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