Some explicit solutions of the Landau-Lifshitz equation for anisotropic ferromagnets

摘要

The aim of this paper is to construct explicit solutions of the Landau-Lifshitz equation for anisotropic ferromagnets. Firstly, we present some explicit solutions for n-dimensional Landau-Lifshitz equation with a generalized uniaxial anisotropy field (depending only on time) under a suitable transformation, where the generalized uniaxial anisotropy field contains the classical easy-axis case and the important higher-order approximations. Some relevant examples are indicated that contains the cubic system proposed by Landau and Lifshitz in 1960. Secondly, an explicit plane-wave solution of Landau-Lifshitz equation for the completely anisotropic case is obtained. Finally, some properties of magnetization for ferromagnets are provided by analysis of the solutions.