Decay and slowing down of the multiquanta Davydov-like solitons in molecular chains

Abstract

Dynamics and the stability of the multivibron solitons in molecular chains have been examined by means of the perturbation method based upon the inverse scattering transform. We demonstrate that due to the coupling with phonons the soliton radiates energy which causes its slowing down and gradual decay of its amplitude. It was shown that the soliton lifetime depends strongly on temperature and the values of the basic physical parameters of the system. On the basis of these results the possible role of the multivibron solitons in the intramolecular vibrational energy transfer has been critically assessed.