Interaction of a~breather with a~magnetization wave in a~ferromagnet with light-axis anisotropy
Teoretičeskaâ i matematičeskaâ fizika, Tome 163 (2010) no. 1, pp. 94-113
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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.
@article{TMF_2010_163_1_a6,
author = {V. V. Kiselev and A. A. Raskovalov},
title = {Interaction of a~breather with a~magnetization wave in a~ferromagnet with light-axis anisotropy},
journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
pages = {94--113},
publisher = {mathdoc},
volume = {163},
number = {1},
year = {2010},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/TMF_2010_163_1_a6/}
}
TY - JOUR AU - V. V. Kiselev AU - A. A. Raskovalov TI - Interaction of a~breather with a~magnetization wave in a~ferromagnet with light-axis anisotropy JO - Teoretičeskaâ i matematičeskaâ fizika PY - 2010 SP - 94 EP - 113 VL - 163 IS - 1 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/TMF_2010_163_1_a6/ LA - ru ID - TMF_2010_163_1_a6 ER -
%0 Journal Article %A V. V. Kiselev %A A. A. Raskovalov %T Interaction of a~breather with a~magnetization wave in a~ferromagnet with light-axis anisotropy %J Teoretičeskaâ i matematičeskaâ fizika %D 2010 %P 94-113 %V 163 %N 1 %I mathdoc %U http://geodesic.mathdoc.fr/item/TMF_2010_163_1_a6/ %G ru %F TMF_2010_163_1_a6
V. V. Kiselev; A. A. Raskovalov. Interaction of a~breather with a~magnetization wave in a~ferromagnet with light-axis anisotropy. Teoretičeskaâ i matematičeskaâ fizika, Tome 163 (2010) no. 1, pp. 94-113. http://geodesic.mathdoc.fr/item/TMF_2010_163_1_a6/