Nonlinear dynamics of the semi-infinite ferromagnetic samples with an easy-plane anisotropy

V.V. Kiselev and A.A. Raskovalov

Chaos, Solitons & Fractals, 2024, vol. 188, issue C

Abstract: The modification of the inverse scattering problem is proposed to investigate solitons and dispersive waves in the framework of the Landau–Lifshitz model for semi-infinite ferromagnet with an ¡¡easy-plane¿¿ anisotropy under the mixed boundary conditions, corresponding to different degrees of spin pinning on the edge of the sample. New types of solitons are obtained and their elastic reflection from the edge of the sample is analyzed. Spectral expansions of the integrals of motion for solitons and waves are found. Additional integrals of motion are established that guarantee true boundary conditions for solitons, when they interact with the edge of the sample.

Keywords: Solitons; Landau–Lifshitz equation; Image method; Kinks; Breathers (search for similar items in EconPapers)
Date: 2024
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Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:188:y:2024:i:c:s096007792401052x

DOI: 10.1016/j.chaos.2024.115500

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