Chirped self-similar solitary waves in optical fibers governed with self-frequency shift and varying parameters

Abstract

We demonstrate that when self-frequency shift effect is the dominant higher-order nonlinear process affecting ultrashort light pulse propagation in an inhomogeneous optical fiber media, a novel class of self-similar solitary waves that are characterized by a nonlinear chirp existed. The solitary wave profiles are of bright, dark, kink, and gray type, illustrating the potentially rich set of chirped self-similar pulses in the inhomogeneous fiber system. Compared with the cubic nonlinear Schrödinger equation with distributed coefficients, the phase of these chirped pulses exhibits a nonlinear structure which makes them more suitable for diverse physical applications. The application of obtained chirped self-similar pulses is also discussed in a periodic distributed amplification system. The results show that one may control the propagation dynamics of the presented nonlinearly chirped pulses by an appropriate choice of the dispersion and nonlinearity parameters.