Abstract
In the framework of the discrete self-trapped model and its generalizations, the dynamics of two nonlinear elements of different physical origin is considered. The influence on the dynamics of their own nonlinearity, various types of interaction nonlinearity and nonequivalence of subsystems is investigated. 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 analogue for different solitons.
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