Zapiski Nauchnykh Seminarov POMI, Differential geometry, Lie groups and mechanics. Part 10, Tome 172 (1989), pp. 130-136
Citer cet article
V. Yu. Popkov. On the solutions of the classical triangle equation related to the Landau–Lifschitz equation for non-homogeneous magnetics. Zapiski Nauchnykh Seminarov POMI, Differential geometry, Lie groups and mechanics. Part 10, Tome 172 (1989), pp. 130-136. http://geodesic.mathdoc.fr/item/ZNSL_1989_172_a11/
@article{ZNSL_1989_172_a11,
author = {V. Yu. Popkov},
title = {On the solutions of the classical triangle equation related to the {Landau{\textendash}Lifschitz} equation for non-homogeneous magnetics},
journal = {Zapiski Nauchnykh Seminarov POMI},
pages = {130--136},
year = {1989},
volume = {172},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/ZNSL_1989_172_a11/}
}
TY - JOUR
AU - V. Yu. Popkov
TI - On the solutions of the classical triangle equation related to the Landau–Lifschitz equation for non-homogeneous magnetics
JO - Zapiski Nauchnykh Seminarov POMI
PY - 1989
SP - 130
EP - 136
VL - 172
UR - http://geodesic.mathdoc.fr/item/ZNSL_1989_172_a11/
LA - ru
ID - ZNSL_1989_172_a11
ER -
%0 Journal Article
%A V. Yu. Popkov
%T On the solutions of the classical triangle equation related to the Landau–Lifschitz equation for non-homogeneous magnetics
%J Zapiski Nauchnykh Seminarov POMI
%D 1989
%P 130-136
%V 172
%U http://geodesic.mathdoc.fr/item/ZNSL_1989_172_a11/
%G ru
%F ZNSL_1989_172_a11
A method due to Drinfeld and Belavin is used to construct deformations of classical $r$-matrices on semi-simple Lie algebras $\bigoplus\limits^N SU(2)$. 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.