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JOURNALS // Teoreticheskaya i Matematicheskaya Fizika // Archive

TMF, 2018 Volume 197, Number 1, Pages 89–107 (Mi tmf9466)

This article is cited 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.

PACS: 75.60.Ch, 75.50.Gg

MSC: 37K15, 37K40, 35Q15

Received: 22.09.2017
Revised: 09.11.2017

DOI: 10.4213/tmf9466


 English version:
Theoretical and Mathematical Physics, 2018, 197:1, 1469–1486

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© Steklov Math. Inst. of RAS, 2026