This article is cited in 1 paper

Relaxing solitons of a biaxial ferromagnet

V. V. Kiselev^ab, S. Batalov<sup>ab

a</sup> 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, Ekaterinburg, Russia

Abstract: We use the Riemann problem on a torus to obtain and analyze new analytic solutions of the Landau–Lifshitz model that describe the nonlinear dynamics of solitons of a biaxial ferromagnet in the field of dispersive spin waves. We show that nonlinear interference of solitons and waves leads to nonadiabatic relaxation oscillations of solitons. Formulas are obtained that determine the changes in the frequency and velocity of solitons in the radiation field. Collisions of relaxing solitons on a spin-wave background are analyzed.

Keywords: Landau–Lifshitz equation, biaxial ferromagnet, Riemann problem, solitons, dispersing waves.

PACS: 02.30.Jr

MSC: 37K40

Received: 26.07.2021
Revised: 26.07.2021

DOI: 10.4213/tmf10155

 English version: Theoretical and Mathematical Physics, 2022, 210:1, 46–67

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