Discretizations of the Landau–Lifshits equation
Teoretičeskaâ i matematičeskaâ fizika, Tome 124 (2000) no. 1, pp. 48-61
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/
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Voir la notice de l'article provenant de la source Math-Net.Ru

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.

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