Schryer–Walker quasi-exact solutions to the Landau–Lifshitz–Gilbert equations

摘要

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.