Chirped Lambert W-kink solitons of the complex cubic-quintic Ginzburg-Landau equation with intrapulse Raman scattering

TL;DR

This paper derives explicit Lambert W-kink soliton solutions for the complex cubic-quintic Ginzburg-Landau equation influenced by intrapulse Raman scattering, revealing how model parameters control pulse properties and enabling new insights into optical shock formation.

Contribution

It introduces exact Lambert W-kink soliton solutions for the complex Ginzburg-Landau equation with Raman effects, detailing parameter effects on soliton amplitude and frequency chirp.

Findings

Lambert W-kink solitons are explicitly derived.

Parameter tuning controls soliton amplitude and frequency chirp.

Optical shock-type solitons are also obtained.

Abstract

In this paper, an exact explicit solution for the complex cubic-quintic Ginzburg-Landau equation is obtained, by using Lambert W function or omega function. More pertinently, we term them as Lambert W-kink-type solitons, begotten under the influence of intrapulse Raman scattering. Parameter domains are delineated in which these optical solitons exit in the ensuing model. We report the effect of model coefficients on the amplitude of Lambert W-kink solitons, which enables us to control efficiently the pulse intensity and hence their subsequent evolution. Also, moving fronts or optical shock-type solitons are obtained as a byproduct of this model. We explicate the mechanism to control the intensity of these fronts, by fine tuning the spectral filtering or gain parameter. It is exhibited that the frequency chirp associated with these optical solitons depends on the intensity of the wave and saturates to a constant value as the retarded time approaches its asymptotic value.