This article is cited in 2 papers

Partial Differential Equations

Simulation of domain walls: simple waves in the magnetodynamics equation

L. A. Kalyakin^a, E. G. Ekomasov<sup>b

a</sup> 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

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.

UDC: 517.968

Received: 19.07.2023
Accepted: 16.09.2023

DOI: 10.31857/S0044466924010087

 English version: Computational Mathematics and Mathematical Physics, 2024, 94:1, 85–98

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