Higher order complex cubic quintic Ginzburg Landau equation : Chirped solitary waves
arXiv:2303.17701 · doi:10.1209/0295-5075/acc8f4
Abstract
Propagation characteristics of the chirped dissipative solitary waves are investigated within the framework of higher order complex cubic quintic Ginzburg Landau equation. Potentially rich set of exact chirped dissipative pulses, such as, bright, dark, grey, antidark, kink, antikink are 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 are explored.
arXiv commentTo appear in Europhysics Letters
References in corpus (8)
- The World of the Complex Ginzburg-Landau Equation
- Route to stabilized ultrabroadband microresonator-based frequency combs
- Exact Solutions of the One-Dimensional Quintic Complex Ginzburg-Landau Equation
- Stationary and oscillatory bound states of dissipative solitons created by the third-order dispersion
- Impact of high-order effects on soliton explosions in the complex cubic-quintic Ginzburg-Landau equation
- Chirped dissipative solitons of the complex cubic-quintic nonlinear Ginzburg-Landau equation
- Passive mode-locking under higher order effects
- Pulses and Snakes in Ginzburg--Landau Equation