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JOURNALS // Teoreticheskaya i Matematicheskaya Fizika // Archive

TMF, 2010 Volume 163, Number 1, Pages 94–113 (Mi tmf6489)

This article is cited in 5 papers

Interaction of a breather with a magnetization wave in a ferromagnet with light-axis anisotropy

V. V. Kiselev, A. A. Raskovalov

Institute of Physics of Metals, Ural Branch, RAS, Ekaterinburg

Abstract: We use the dressing method to find exact solutions of the Landau–Lifshitz equation for a ferromagnet with light-axis anisotropy. These solutions describe the interaction of a nonlinear precession wave of arbitrary amplitude with solitons. We analyze the change of the internal structure and the physical parameters of the solitons as a result of their interaction with the magnetization wave. We find an infinite series of integrals of motion that stabilize the soliton on the background of the pumping wave.

Keywords: breather, domain boundary, nonlinear magnetization wave, Landau–Lifshitz equation, Riemann problem, dressing method.

Received: 01.10.2009

DOI: 10.4213/tmf6489


 English version:
Theoretical and Mathematical Physics, 2010, 163:1, 479–495

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© Steklov Math. Inst. of RAS, 2026