Discretizations of the Landau--Lifshits equation
Teoretičeskaâ i matematičeskaâ fizika, Tome 124 (2000) no. 1, pp. 48-61
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The relation between the Sklyanin chain and the Bдcklund transformations for the Landau–Lifshits equation is established. The stationary solutions of the chain determine an integrable mapping, which is a kind of classical Heisenberg spin chain. Some multifield generalizations are found.
@article{TMF_2000_124_1_a3,
author = {V. E. Adler},
title = {Discretizations of the {Landau--Lifshits} equation},
journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
pages = {48--61},
publisher = {mathdoc},
volume = {124},
number = {1},
year = {2000},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/TMF_2000_124_1_a3/}
}
V. E. Adler. Discretizations of the Landau--Lifshits equation. Teoretičeskaâ i matematičeskaâ fizika, Tome 124 (2000) no. 1, pp. 48-61. http://geodesic.mathdoc.fr/item/TMF_2000_124_1_a3/