Exact Solution for Polarons on the Anharmonic Lattice and Charge Transfer in Biopolymers

The possible mechanism of charge transfer via polarons to long distances in biopolymers was considered. A set of accurately integrable equations was obtained for a lattice with a potential of interaction of neighboring particles with cubic nonlinearity and at a certain ratio of the parameters of the problem. This system has many-soliton solutions, while the polaron is a one-soliton solution. Numerical modeling proved high stability of the obtained solutions. A new class of stable polarons with several peaks were detected for arbitrary values of the parameters. The behavior of polarons on a lattice with defects was studied by numerical methods. The applicability of the results to rationalization of recent experiments on the effective charge transfer in biopolymers was analyzed.