Higher-order complex cubic quintic Ginzburg-Landau equation: Chirped solitary waves

Abstract

Propagation characteristics of the chirped dissipative solitary waves are investigated within the framework of higher-order complex cubic quintic Ginzburg-Landau equation. A potentially rich set of exact chirped dissipative pulses, such as, bright, dark, grey, antidark, kink, antikink is derived in the presence of the self-steepening, self-frequency shift and nonlinear gain/loss. The linear stability results are corroborated by the direct numerical simulations. The effect of the variation of model parameters on physical quantities, like the speed, amplitude and chirping, is explored.