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Teoreticheskaya i Matematicheskaya Fizika, 2024, Volume 219, Number 1, Pages 55–79
DOI: https://doi.org/10.4213/tmf10654 (Mi tmf10654) 		 
This article is cited in 2 scientific papers (total in 2 papers)

Solitons in a semi-infinite ferromagnet with anisotropy of the easy axis type

V. V. Kiselevab

a Mikheev Institute of Metal Physics, Ural Branch, Russian Academy of Sciences, Ekaterinburg, Russia
b Institute of Physics and Technology, Ural Federal University, Ekaterinburg, Russia
Full-text PDF (693 kB) First page Citations (2)
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DOI: https://doi.org/10.4213/tmf10654
Abstract: We propose a special variant of the inverse scattering transform method to construct and analyze soliton excitations in a semi-infinite sample of an easy-axis ferromagnet in the case of a partial pinning of spins at its surface. We consider the limit cases of free edge spins and spins that are fully pinned at the sample boundary. We find frequency and modulation characteristics of solitons localized near the sample surface. In the case of different degrees of edge spin pinning, we study changes in the cores of moving solitons as a result of their elastic reflection from the sample boundary. We obtain integrals of motion that control the dynamics of magnetic solitons in a semi-infinite sample.
Keywords: solitons, Landau–Lifshitz equation, method of images, kinks, breathers.
Funding agency Grant number
Ministry of Science and Higher Education of the Russian Federation 122021000038-7
The work is published in the framework of the state assignment of the Ministry of Education and Science of the Russian Federation (research issue “Kvant,” No. 122021000038-7).
Received: 12.12.2023
Revised: 12.12.2023
English version:
Theoretical and Mathematical Physics, 2024, Volume 219, Issue 1, Pages 576–597
DOI: https://doi.org/10.1134/S0040577924040068
Bibliographic databases:
Document Type: Article
PACS: 02.30.Jr, 05.45.-a, 05.45.Yv
MSC: 35Q51
Language: Russian
Citation: V. V. Kiselev, “Solitons in a semi-infinite ferromagnet with anisotropy of the easy axis type”, TMF, 219:1 (2024), 55–79; Theoret. and Math. Phys., 219:1 (2024), 576–597
Citation in format AMSBIB
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\by V.~V.~Kiselev
\paper Solitons in a~semi-infinite ferromagnet with anisotropy of the~easy axis type
\jour TMF
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\vol 219
\issue 1
\pages 55--79
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\crossref{https://doi.org/10.4213/tmf10654}
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\transl
\jour Theoret. and Math. Phys.
\yr 2024
\vol 219
\issue 1
\pages 576--597
\crossref{https://doi.org/10.1134/S0040577924040068}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-85191385600}
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  • https://doi.org/10.4213/tmf10654
  • https://www.mathnet.ru/eng/tmf/v219/i1/p55
    • This publication is cited in the following 2 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Теоретическая и математическая физика Theoretical and Mathematical Physics
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