Optimized autophasing of solitons

The effect of an external wave perturbation with a slowly varying frequency on a soliton of the nonlinear Schrödinger equation is investigated. For equations describing the time evolution of parameters of the perturbed soliton, a standard system with fast and slow variables is constructed. The problem of maximizing the averaged amplitude of the perturbed soliton in the principal order of the amplitude of the external perturbation is solved.