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Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki, 2024, Volume 64, Number 1, Pages 94–108
DOI: https://doi.org/10.31857/S0044466924010087 (Mi zvmmf11692) 		 
This article is cited in 1 scientific paper (total in 1 paper)

Partial Differential Equations

Simulation of domain walls: simple waves in the magnetodynamics equation

L. A. Kalyakina, E. G. Ekomasovb

a Institute of Mathematics with Computer Center, Ufa Federal Research Center of the Russian Academy of Sciences, 450077, Ufa, Russia
b Bashkir State University, 450076, Ufa, Russia
Citations (1)
DOI: https://doi.org/10.31857/S0044466924010087
Abstract: A partial differential equation modeling the motion of a domain wall taking into account external magnetic fields and damping is considered. In the case of constant coefficients, this equation has a set of trivial solutions–equilibria. Solutions in the form of simple (traveling) waves that correspond to a dynamic transition from one equilibrium to another are studied. Possible types of waves that are stable in linear approximation are listed. A method for calculating the velocity of such waves is given.
Key words: nonlinear differential equation, equilibrium, simple wave, phase trajectory, domain wall.
Received: 19.07.2023
Accepted: 16.09.2023
English version:
Computational Mathematics and Mathematical Physics, 2024, Volume 94, Issue 1, Pages 85–98
DOI: https://doi.org/10.1134/S0965542524010093
Bibliographic databases:
Document Type: Article
UDC: 517.968
Language: Russian
Citation: L. A. Kalyakin, E. G. Ekomasov, “Simulation of domain walls: simple waves in the magnetodynamics equation”, Zh. Vychisl. Mat. Mat. Fiz., 64:1 (2024), 94–108; Comput. Math. Math. Phys., 94:1 (2024), 85–98
Citation in format AMSBIB
\Bibitem{KalEko24}
\by L.~A.~Kalyakin, E.~G.~Ekomasov
\paper Simulation of domain walls: simple waves in the magnetodynamics equation
\jour Zh. Vychisl. Mat. Mat. Fiz.
\yr 2024
\vol 64
\issue 1
\pages 94--108
\mathnet{http://mi.mathnet.ru/zvmmf11692}
\crossref{https://doi.org/10.31857/S0044466924010087}
\elib{https://elibrary.ru/item.asp?id=68534079}
\transl
\jour Comput. Math. Math. Phys.
\yr 2024
\vol 94
\issue 1
\pages 85--98
\crossref{https://doi.org/10.1134/S0965542524010093}
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    • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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