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We consider the classical integrable 1+1 trigonometric glN 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 Calogero-Moser-Sutherland model is gauge equivalent to the Landau-Lifshitz model, which arises from the Antonov-Hasegawa-Zabrodin trigonometric non-standard R-matrix. The latter generalizes the Cherednik's 7-vertex R-matrix in GL₂ case to the case of GLN. Explicit change of variables between the 1+1 models is obtained.
Atalikov et al. (Fri,) studied this question.