This article is cited in 6 papers

Solitons in a semi-infinite ferromagnet with anisotropy of the easy axis type

V. V. Kiselev<sup>ab

a</sup> Mikheev Institute of Metal Physics, Ural Branch, Russian Academy of Sciences, Ekaterinburg, Russia
^b Institute of Physics and Technology, Ural Federal University, Ekaterinburg, Russia

Abstract: We propose a special variant of the inverse scattering transform method to construct and analyze soliton excitations in a semi-infinite sample of an easy-axis ferromagnet in the case of a partial pinning of spins at its surface. We consider the limit cases of free edge spins and spins that are fully pinned at the sample boundary. We find frequency and modulation characteristics of solitons localized near the sample surface. In the case of different degrees of edge spin pinning, we study changes in the cores of moving solitons as a result of their elastic reflection from the sample boundary. We obtain integrals of motion that control the dynamics of magnetic solitons in a semi-infinite sample.

Keywords: solitons, Landau–Lifshitz equation, method of images, kinks, breathers.

PACS: 02.30.Jr, 05.45.-a, 05.45.Yv

MSC: 35Q51

Received: 12.12.2023
Revised: 12.12.2023

DOI: 10.4213/tmf10654

 English version: Theoretical and Mathematical Physics, 2024, 219:1, 576–597

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