Some explicit solutions of the Landau‐Lifshitz equation for anisotropic ferromagnets
Some explicit solutions of the Landau‐Lifshitz equation for anisotropic ferromagnets
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DOI：
10.1002/mma.5246
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发表时间：
2018-08
影响因子：
2.9
通讯作者：
Fangyu Han;Ganshan Yang
中科院分区：
文献类型：
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作者：
Fangyu Han;Ganshan Yang
本文的目的是构造各向异性铁磁体的朗道-Lifshitz方程的显式解。首先，在适当的变换下，给出了n维朗道-Lifshitz方程的显式解，其中广义单轴各向异性场包含经典的易轴情形和重要的高阶近似.给出了包含朗道和Lifshitz在1960年提出的三次系统的一些相关例子。其次，得到了完全各向异性情况下朗道-Lifshitz方程的显式平面波解。最后，通过对解的分析，给出了铁磁体磁化的一些性质。
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.