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Zapiski Nauchnykh Seminarov LOMI, 1989, Volume 172, Pages 130–136
(Mi znsl4488)
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On the solutions of the classical triangle equation related to the Landau–Lifschitz equation for non-homogeneous magnetics
V. Yu. Popkov
Abstract:
A method due to Drinfeld and Belavin is used to construct deformations of classical r-matrices on semi-simple Lie algebras N⨁SU(2). These r-matrices are related to multi-component analogues of the Landau–Lifschitz equations which may be interpreted as models of one-dimensional magnets with several sublattices.
Citation:
V. Yu. Popkov, “On the solutions of the classical triangle equation related to the Landau–Lifschitz equation for non-homogeneous magnetics”, Differential geometry, Lie groups and mechanics. Part 10, Zap. Nauchn. Sem. LOMI, 172, "Nauka", Leningrad. Otdel., Leningrad, 1989, 130–136; J. Soviet Math., 59:5 (1992), 1113–1117
Linking options:
https://www.mathnet.ru/eng/znsl4488 https://www.mathnet.ru/eng/znsl/v172/p130
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