Schryer-Walker Quasi-Exact Solutions to the Landau-Lifshitz-Gilbert Equations

Authors

James P. Braselton, Georgia Southern UniversityFollow
Martha L. Abell, Georgia Southern UniversityFollow
Lorraine Braselton, Georgia Southern UniversityFollow

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