Astakhova, V. A. Kashin, V. N. Likhachev, G. A. Vinogradov POLARON DYNAMICS ON THE LATTICE WITH CUBIC NONLINEARITY. <...> The feasible mechanism of charge transfer in quasi-one-dimensional systems is examined. <...> It was found additionally that the charge transfer probability weakly depends on the lattice length and, moreover, occurs as a single-step coherent process. <...> The primary goal of the present paper is the theoretical and numerical feasibility study of the charge transfer in onedimensional systems, representing the simplified DNA model, by means of polarons. <...> The discrete model of one-dimensional classical oscillators with the cubic nonlinearity is utilized for the studying the problem, aimed at the elucidating the polaron mechanism of the charge transfer. <...> The electron-phonon interaction is accounted in terms of the Su-Schriffer-Heeger (SSH) approximation. <...> The other is the time-dependent Schrodinger equation for the electron wave function. <...> The soliton-type solutions are derived at the definite relation between the model parameters (nonlinearity parameter α and the electron-phonon interaction χ). <...> The numerical modeling shows the very high stability (polarons travel thousandth lattice sites without substantial changes in shape and amplitude). <...> New polaron types with the envelope consisting of few (from 2 to 5) peaks are found in numerical simulation at larger parameter values. <...> These properties are manifested for supersonic polarons with large amplitudes. <...> The peaks existence is explained by the fact that the dynamically polaron is comprised by few solitons held together by the electron-phonon interaction. <...> The employed model describes the lattice dynamics classically. <...> An accounting of the cubic nonlinearity in the neighboring particles interaction, allows to make the model more adequate with regard to original complex biological systems. <...> The wave function is reported in the adiabatic approximation, and the electron-phonon interaction is accounted in terms of the SSH approximation. <...> Analytical solutions are derived for polarons on the nonlinear lattice. <...> The solution shape (amplitude, width) is soliton-like and is governed by a single free parameter. <...> Stable polarons with the envelope consisting of few peaks are found in numerical modelling. <...> Key words: quasi-one-dimensional systems, charge transfer, polarons, DNA chain, one-dimensional lattice model. <...> Особую актуальность этот вопрос приобрел после того, как экспериментально было показано, что носитель заряда с очень высокой эффективностью может проходить расстояние в несколько десятков <...>