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This article is cited in 6 scientific papers (total in 6 papers)
Solitons in the domain structure of the ferromagnet
V. V. Kiselevab, A. A. Raskovalovab a Mikheev Institute of Metal Physics, Ural Branch, RAS,
Ekaterinburg, Russia
b Yeltsin Ural Federal University, Ekaterinburg, Russia
Abstract:
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.
Keywords:
domain structure, Landau–Lifshitz equation, Riemann problem, soliton,
integral of motion.
Received: 22.09.2017 Revised: 09.11.2017
Citation:
V. V. Kiselev, A. A. Raskovalov, “Solitons in the domain structure of the ferromagnet”, TMF, 197:1 (2018), 89–107; Theoret. and Math. Phys., 197:1 (2018), 1469–1486
Linking options:
https://www.mathnet.ru/eng/tmf9466https://doi.org/10.4213/tmf9466 https://www.mathnet.ru/eng/tmf/v197/i1/p89
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