This article is cited in 1 paper

Nonlinear interference of solitons and waves in the domain magnetic structure

V. V. Kiselev^ab, S. V. Batalov<sup>ab

a</sup> 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

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.

PACS: 02.30.Jr

MSC: 35Q51

Received: 27.04.2022
Revised: 28.07.2022

DOI: 10.4213/tmf10304

 English version: Theoretical and Mathematical Physics, 2023, 214:3, 369–405

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