In the framework of the Landau–Lifshitz equations for discrete systems, the dynamics of two classical magnetic moments modeling weakly coupled magnetic nanodots, layers of quasi-two-dimensional magnets and two-sublattice magnets are considered. Exact solutions of dynamic equations are found and investigated. Particular attention is paid to the study of essentially nonlinear inhomogeneous states with different levels of excitation for identical subsystems as a discrete analog for the magnetic solitons.

中文翻译：

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耦合非线性系统的动力学。一、磁系统

在离散系统的 Landau-Lifshitz 方程的框架中，考虑了模拟弱耦合磁性纳米点、准二维磁体层和两个亚晶格磁体的两个经典磁矩的动力学。找到并研究了动态方程的精确解。特别注意研究具有不同激发水平的基本非线性非均匀状态，作为磁孤子的离散模拟。