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Статья

Classical integrable systems and Knizhnik-Zamolodchikov-Bernard equations

JETP Letters. 2015. Vol. 101. No. 9. P. 648-655.
Aminov G., Levin A., Olshanetsky M., Zotov A.

The results obtained in the works supported in part by the Russian Foundation for Basic Research (project 12-02-00594) are briefly reviewed. We mainly focus on interrelations between classical integrable systems, Painlevé-Schlesinger equations and related algebraic structures such as classical and quantum R-matrices. The constructions are explained in terms of simplest examples. © 2015, Pleiades Publishing, Inc.