Hidden symmetry of the Landau--Lifshitz equation, hierarchy of higher equations, and the dual equation for an~asymmetric chiral field
Teoretičeskaâ i matematičeskaâ fizika, Tome 70 (1987) no. 1, pp. 18-29
Voir la notice de l'article provenant de la source Math-Net.Ru
A group-theoretical scheme is developed for constructing higher stationary Landau–Lifshitz equations as the Euler equations on the orbits of hidden symmetry algebra
(the algebra of $su(2)$-valued functions on an elliptic curve). Duality between
the Landau–Lifshitz equation and asymmetric $O(3)$-chiral field equation is established.
@article{TMF_1987_70_1_a1,
author = {P. I. Holod},
title = {Hidden symmetry of the {Landau--Lifshitz} equation, hierarchy of higher equations, and the dual equation for an~asymmetric chiral field},
journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
pages = {18--29},
publisher = {mathdoc},
volume = {70},
number = {1},
year = {1987},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/TMF_1987_70_1_a1/}
}
TY - JOUR AU - P. I. Holod TI - Hidden symmetry of the Landau--Lifshitz equation, hierarchy of higher equations, and the dual equation for an~asymmetric chiral field JO - Teoretičeskaâ i matematičeskaâ fizika PY - 1987 SP - 18 EP - 29 VL - 70 IS - 1 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/TMF_1987_70_1_a1/ LA - ru ID - TMF_1987_70_1_a1 ER -
%0 Journal Article %A P. I. Holod %T Hidden symmetry of the Landau--Lifshitz equation, hierarchy of higher equations, and the dual equation for an~asymmetric chiral field %J Teoretičeskaâ i matematičeskaâ fizika %D 1987 %P 18-29 %V 70 %N 1 %I mathdoc %U http://geodesic.mathdoc.fr/item/TMF_1987_70_1_a1/ %G ru %F TMF_1987_70_1_a1
P. I. Holod. Hidden symmetry of the Landau--Lifshitz equation, hierarchy of higher equations, and the dual equation for an~asymmetric chiral field. Teoretičeskaâ i matematičeskaâ fizika, Tome 70 (1987) no. 1, pp. 18-29. http://geodesic.mathdoc.fr/item/TMF_1987_70_1_a1/