Optical Solitons and Frequency Comb Generation - Abstract

Gurevich, Svetlana

Impact of high-order effects on soliton explosions in the complex cubic-quintic Ginzburg--Landau equation

We investigate the impact of higher-order nonlinear and dispersive effects (HOEs), namely, third-order dispersion, self-steepening and self-frequency shift determined by the intrapulse Raman scattering on the dynamics of a single soliton solution in the complex cubic-quintic Ginzburg-Landau equation. Using the path following techniques, we reconstruct the branches of a single localized pulse and show that HOEs split the symmetric and asymmetric explosion modes, leading to the formation of left- and right- one-side periodic explosions. Further we show how the interplay of the HOEs results in the controllable selection of right- or left-side periodic explosions. In addition, we demonstrate that HOEs induce a series of pulsating instabilities, significantly reducing the stability region of the single soliton solution.