Role of the quintic nonlinear refractive term in the stability of dissipative solitons of the complex Ginzburg-Landau equation

We revisit the role of the quintic terms of the complex cubic-quintic Ginzburg-Landau equation in the generation of stable dissipative solitons. Using direct numerical simulations and a qualitative analysis, we show that the presence of one of the two quintic terms is a sine qua non. However, this term is not necessarily the quintic gain saturation term as had been demonstrated by Moores [Opt. Commun. 96, 65 (1993)] but can be the higher-order (quintic) nonlinear refraction term. We prove that by numerically solving this equation, and we perform a qualitative analysis that shows that the negative soliton chirp, anomalous dispersion, and spectral filtering are the physical effects responsible for gain saturation in this case. (C) 2021 Optical Society of America

Automated summary

In this study, the role of quintic terms in the complex cubic-quintic Ginzburg-Landau equation in generating stable dissipative solitons is revisited. It is shown that one of the quintic terms is essential, which can be either quintic gain saturation term or higher-order nonlinear refraction term. Negative soliton chirp, anomalous dispersion, and spectral filtering are identified as the physical effects responsible for gain saturation.