Geodesic
Solitons in the~domain structure of the~ferromagnet
Teoretičeskaâ i matematičeskaâ fizika, Tome 197 (2018) no. 1, pp. 89-107

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By the method of dressing on a torus, we obtain and study solutions of the Landau–Lifshitz equation, which describe solitons in the stripe domain structure of the easy-axis ferromagnet. A specific feature of these solitons is that they are directly related to the domain structure{:} they induce translations and local oscillations of the domains. We find integrals of motion stabilizing the solitons on the background of the structure.
Mots-clés : domain structure
Keywords: Landau–Lifshitz equation, Riemann problem, soliton, integral of motion. 
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     author = {V. V. Kiselev and A. A. Raskovalov},
     title = {Solitons in the~domain structure of the~ferromagnet},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {89--107},
     publisher = {mathdoc},
     volume = {197},
     number = {1},
     year = {2018},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_2018_197_1_a4/}
}
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V. V. Kiselev; A. A. Raskovalov. Solitons in the~domain structure of the~ferromagnet. Teoretičeskaâ i matematičeskaâ fizika, Tome 197 (2018) no. 1, pp. 89-107. http://geodesic.mathdoc.fr/item/TMF_2018_197_1_a4/