Bдcklund Transformation and Dressing Chains for the Landau--Lifshitz Equation
Teoretičeskaâ i matematičeskaâ fizika, Tome 128 (2001) no. 2, pp. 226-235
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We use the dressing method for the Landau–Lifshitz equation and the breeding procedure to obtain a modified Landau–Lifshitz equation. We find the Darboux transformation (the “dressing”) for the integrable Landau–Lifshitz equation of the anisotropic magnet. We find the Bäcklund transformations and dressing chains.
@article{TMF_2001_128_2_a5,
author = {A. B. Borisov},
title = {B{\cyrd}cklund {Transformation} and {Dressing} {Chains} for the {Landau--Lifshitz} {Equation}},
journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
pages = {226--235},
publisher = {mathdoc},
volume = {128},
number = {2},
year = {2001},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/TMF_2001_128_2_a5/}
}
TY - JOUR AU - A. B. Borisov TI - Bдcklund Transformation and Dressing Chains for the Landau--Lifshitz Equation JO - Teoretičeskaâ i matematičeskaâ fizika PY - 2001 SP - 226 EP - 235 VL - 128 IS - 2 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/TMF_2001_128_2_a5/ LA - ru ID - TMF_2001_128_2_a5 ER -
A. B. Borisov. Bдcklund Transformation and Dressing Chains for the Landau--Lifshitz Equation. Teoretičeskaâ i matematičeskaâ fizika, Tome 128 (2001) no. 2, pp. 226-235. http://geodesic.mathdoc.fr/item/TMF_2001_128_2_a5/