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Solitons in the Domain Structure of the Ferromagnet

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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.

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Authors and Affiliations

  1. Mikheev Institute of Metal Physics, Ural Branch, RAS, Ekaterinburg, Russia

    V. V. Kiselev & A. A. Raskovalov

  2. Yeltsin Ural Federal University, Ekaterinburg, Russia

    V. V. Kiselev & A. A. Raskovalov

Authors
  1. V. V. Kiselev
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  2. A. A. Raskovalov
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Correspondence to V. V. Kiselev.

Additional information

This research was performed within the State Assignment of the Federal Agency for Scientific Organizations (Topic “Kvant,” No. 01201463332 (AAAA-A18-118020190095-4)).

Translated from Teoreticheskaya i Matematicheskaya Fizika, Vol. 197, No. 1, pp. 89–107, October, 2018.

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Kiselev, V.V., Raskovalov, A.A. Solitons in the Domain Structure of the Ferromagnet. Theor Math Phys 197, 1469–1486 (2018). https://doi.org/10.1134/S0040577918100057

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