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Zapiski Nauchnykh Seminarov LOMI, 1989, Volume 172, Pages 130–136 (Mi znsl4488)  

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 NSU(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.
English version:
Journal of Soviet Mathematics, 1992, Volume 59, Issue 5, Pages 1113–1117
DOI: https://doi.org/10.1007/BF01480695
Bibliographic databases:
Document Type: Article
UDC: 517.9
Language: Russian
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
Citation in format AMSBIB
\Bibitem{Pop89}
\by V.~Yu.~Popkov
\paper On the solutions of the classical triangle equation related to the Landau--Lifschitz equation for non-homogeneous magnetics
\inbook Differential geometry, Lie groups and mechanics. Part~10
\serial Zap. Nauchn. Sem. LOMI
\yr 1989
\vol 172
\pages 130--136
\publ "Nauka", Leningrad. Otdel.
\publaddr Leningrad
\mathnet{http://mi.mathnet.ru/znsl4488}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1015706}
\zmath{https://zbmath.org/?q=an:0779.35099|0696.35174}
\transl
\jour J. Soviet Math.
\yr 1992
\vol 59
\issue 5
\pages 1113--1117
\crossref{https://doi.org/10.1007/BF01480695}
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