Mathematical Sciences: Faculty Publications
Schryer-Walker Quasi-Exact Solutions to the Landau-Lifshitz-Gilbert Equations
Document Type
Article
Publication Date
10-25-2001
Publication Title
Applied Mathematics and Computation
DOI
10.1016/S0096-3003(00)00083-7
ISSN
0096-3003
Abstract
The Landau–Lifshitz–Gilbert (LLG) equations describe the dynamics of ferromagnets. Using various assumptions, several exact solutions to this nonlinear system are determined in Refs. [Phys. Rev. Lett. 65 (1990) 787; J.F. Dillon, Domains and domain walls, in: G.T. Rado, H. Suhl (Eds.), A Treatise on Modern Theory and Materials. Vol. 3: Magnetism, Academic Press, New York, 1963; J. Nonlinear Mech. 36(4) (2001) 571; J. Appl. Phys. 45 (1974) 5406; Phys. Rev. B 43 (1991) 5908]. This paper generalizes these previous results and develops several quasi-exact solutions. The accuracy of these quasi-exact solutions is illustrated in several examples.
Recommended Citation
Braselton, James P., Martha L. Abell, Lorraine Braselton.
2001.
"Schryer-Walker Quasi-Exact Solutions to the Landau-Lifshitz-Gilbert Equations."
Applied Mathematics and Computation, 124 (2): 151-167.
doi: 10.1016/S0096-3003(00)00083-7
https://digitalcommons.georgiasouthern.edu/math-sci-facpubs/432
Copyright
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