Dynamics of pair of coupled nonlinear systems. I. Magnetic systems

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.