Breathing self-similar dynamics and oscillatory tails of the chirped dispersion-managed soliton

Abstract

An effective approach to describe a breathing soliton in systems with periodically varying dispersion is developed. A generalized solution of the propagation equation is presented in terms of chirped Gauss-Hermite orthogonal functions. As a particular example, developed theory describes both averaged slow evolution and rapid oscillations of the dispersion-managed soliton in fiber links. Self-similar structure of the main peak is described by a system of ordinary differential equations for root-mean-square width and integral chirp of the pulse.