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Teoreticheskaya i Matematicheskaya Fizika, 2023, Volume 214, Number 3, Pages 427–468
DOI: https://doi.org/10.4213/tmf10304 (Mi tmf10304) 		 
This article is cited in 1 scientific paper (total in 1 paper)

Nonlinear interference of solitons and waves in the domain magnetic structure

V. V. Kiselevab, S. V. Batalovab

a Mikheev Institute of Metal Physics, Ural Division of the Russian Academy of Sciences, Ekaterinburg, Russia
b Institute of Physics and Technology of the Ural Federal University named after the First President of Russia B. N. Yeltsin, Ekaterinburg, Russia
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DOI: https://doi.org/10.4213/tmf10304
Abstract: We use the nonlinear steepest descent method in the framework of the sine-Gordon model to study the behavior of dispersive activation and gapless waves at large times in a stripe domain structure of magnets and the nonadiabatic wave interaction with solitons in the domain structure. We show that the nonlinear interference of solitons and waves leads to oscillations of the soliton cores. Over time, they relax according to a power law. We determine the changes in the velocity and frequencies of solitons in a domain structure under the influence of spin waves.
Keywords: helicoidal structure, sine-Gordon equation, Riemann problem, kinks, breathers.
Funding agency Grant number
Ministry of Science and Higher Education of the Russian Federation 122021000038-7
This work is published as part of the government assignment of the Ministry of Education and Science of the Russian Federation (project “Quantum,” No. 122021000038-7.
Received: 27.04.2022
Revised: 28.07.2022
English version:
Theoretical and Mathematical Physics, 2023, Volume 214, Issue 3, Pages 369–405
DOI: https://doi.org/10.1134/S0040577923030054
Bibliographic databases:
Document Type: Article
PACS: 02.30.Jr
MSC: 35Q51
Language: Russian
Citation: V. V. Kiselev, S. V. Batalov, “Nonlinear interference of solitons and waves in the domain magnetic structure”, TMF, 214:3 (2023), 427–468; Theoret. and Math. Phys., 214:3 (2023), 369–405
Citation in format AMSBIB
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\by V.~V.~Kiselev, S.~V.~Batalov
\paper Nonlinear interference of solitons and waves in the~domain magnetic structure
\jour TMF
\yr 2023
\vol 214
\issue 3
\pages 427--468
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\crossref{https://doi.org/10.4213/tmf10304}
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\adsnasa{https://adsabs.harvard.edu/cgi-bin/bib_query?2023TMP...214..369K}
\transl
\jour Theoret. and Math. Phys.
\yr 2023
\vol 214
\issue 3
\pages 369--405
\crossref{https://doi.org/10.1134/S0040577923030054}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-85150913194}
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  • https://doi.org/10.4213/tmf10304
  • https://www.mathnet.ru/eng/tmf/v214/i3/p427
    • This publication is cited in the following 1 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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