Propagation of chirped solitons on a cw background in a non-Kerr quintic medium with self-steepening effect

Abstract

We study the existence and stability of envelope solitons on a continuous-wave background in a non-Kerr quintic optical material exhibiting a self-steepening effect. Light propagation in such a nonlinear medium is governed by the Gerdjikov–Ivanov equation. We find that the system supports a variety of localized waveforms exhibiting an important frequency chirping property which makes them potentially useful in many practical applications to optical communication. This frequency chirp is found to be crucially dependent on the intensity of the wave and its amplitude can be controlled by a suitable choice of self-steepening parameter. The obtained nonlinearly chirped solitons include bright, gray and kink shapes. We also discuss the stability of the chirped solitons numerically under finite initial perturbations. The results show that the main character of chirped localized structures is not influenced by finite initial perturbations such as white noise.