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Teoreticheskaya i Matematicheskaya Fizika, 2020, Volume 203, Number 1, Pages 26–39
DOI: https://doi.org/10.4213/tmf9790 (Mi tmf9790) 		 
This article is cited in 2 scientific papers (total in 2 papers)

Asymptotic analysis of a multiferroic model

L. A. Kalyakina, A. K. Zvezdinbc, Z. V. Gareevad

a Institute of Mathematics with Computing Centre — Subdivision of the Ufa Federal Research Centre of the Russian Academy of Science, Ufa, Russia
b Prokhorov General Physics Institute of the Russian Academy of Sciences, Moscow, Russia
c National Research University "Higher School of Economics", Moscow, Russia
d Institute of Molecule and Crystal Physics, Ufa Science Center of the Russian Academy of Science, Ufa, Russia
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DOI: https://doi.org/10.4213/tmf9790
Abstract: We consider a system of nonlinear autonomous differential equations that describe the orientation of the antiferromagnetic vector in a multiferroic film and find the conditions for the existence of spatially modulated structures of the cycloid type. We investigate the stability of such structures under spatial perturbations.
Keywords: multiferroics, nonlinear equation, variational problem, small parameter, asymptotics.
Received: 02.08.2019
Revised: 24.11.2019
English version:
Theoretical and Mathematical Physics, 2020, Volume 203, Issue 1, Pages 457–468
DOI: https://doi.org/10.1134/S0040577920040030
Bibliographic databases:
Document Type: Article
Language: Russian
Citation: L. A. Kalyakin, A. K. Zvezdin, Z. V. Gareeva, “Asymptotic analysis of a multiferroic model”, TMF, 203:1 (2020), 26–39; Theoret. and Math. Phys., 203:1 (2020), 457–468
Citation in format AMSBIB
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    • 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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