Impact of higher-order effects on pulsating, erupting and creeping solitons

Abstract

We investigate numerically the dynamics of pulsating, erupting and creeping soliton solutions of a generalized complex Ginzburg–Landau equation (CGLE), including the third-order dispersion, intrapulse Raman scattering and self-steepening effects. We show that these higher-order effects (HOEs) can have a dramatic impact on the dynamics of the above mentioned CGLE solitons. For some ranges of the parameter values, the periodic behavior of some of these pulses is eliminated and they are transformed into fixed-shape solitons. Some particular interesting cases are discussed concerning the combined action of the three HOEs.