Fizika Nizkikh Temperatur: Volume 46, Number 11 (November 2020), p. 1276-1286 ( to contents , go back )
Dynamics for pair of coupled nonlinear systems. II.Dicrete self-trapped model
A. S. Kovalev1,2 and Y. E. Prilepskii3
1B. Verkin Institute for Low Temperature Physics and Engineering, National Academy of Science of Ukraine Kharkov 310164, Ukraine
2V. N. Karazin Kharkov National University, Kharkov, Ukraine
3Aston Birmingham University, UK
Received May 25, 2020, published online September 21, 2020
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.
Key words: stationary states, main nonlinear oscillations, inhomogeneous states, integrals of motion, phase portrait, bifurcations.