Chirped dissipative solitons of the complex cubic-quintic nonlinear Ginzburg-Landau equation

TL;DR

This paper derives approximate analytical solutions for stable, highly-accurate chirped dissipative solitons in the complex cubic-quintic Ginzburg-Landau equation, relevant for high-energy ultrafast laser applications.

Contribution

It presents a new analytical approach to find stable chirped dissipative solitons with a three-dimensional parametric space in the complex Ginzburg-Landau equation.

Findings

Solutions are stable and highly accurate.

Parametric space is three-dimensional.

Scaling properties are promising for laser physics applications.

Abstract

Approximate analytical chirped solitary pulse (chirped dissipative soliton) solutions of the one-dimensional complex cubic-quintic nonlinear Ginzburg-Landau equation are obtained. These solutions are stable and highly-accurate under condition of domination of a normal dispersion over a spectral dissipation. The parametric space of the solitons is three-dimensional, that makes theirs to be easily traceable within a whole range of the equation parameters. Scaling properties of the chirped dissipative solitons are highly interesting for applications in the field of high-energy ultrafast laser physics.