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

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.

20 pages, 12 figures, the mathematical apparatus is presented in detail in http://info.tuwien.ac.at/kalashnikov/NCGLE2.html

References in corpus (1)

• The unified theory of chirped-pulse oscillators

Cited by in corpus (6)

• Vector Dissipative Solitons in Graphene Mode Locked Fiber Lasers
• Cubic-quintic nonlinear Helmholtz equation: Modulational instability, chirped elliptic and solitary waves
• Coupled Helmholtz Equations : Chirped Solitary Waves
• Higher order complex cubic quintic Ginzburg Landau equation : Chirped solitary waves
• Dissipative Soliton Resonance: Adiabatic Theory and Thermodynamics
• Microjoule mode-locked oscillators: issues of stability and noise