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A note on vortex solutions of Landau–Lifshitz equation
Author(s) -
Pu Xueke,
Guo Boling
Publication year - 2010
Publication title -
mathematical methods in the applied sciences
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.719
H-Index - 65
eISSN - 1099-1476
pISSN - 0170-4214
DOI - 10.1002/mma.1201
Subject(s) - landau–lifshitz–gilbert equation , vortex , mathematics , isotropy , anisotropy , energy (signal processing) , mathematical physics , boundary value problem , mathematical analysis , physics , magnetic field , quantum mechanics , mechanics , statistics , magnetization
Abstract In this short note, by using the ideas of shooting method, we show that there exists no finite energy vortex solution to the Landau–Lifshitz equation without anisotropy for prescribed boundary values. Based on comparisons between the present result and the previous ones, we see that the isotropic terms play an important role in Landau–Lifshitz equation. Copyright © 2009 John Wiley & Sons, Ltd.