Dissipative Solitons in Normal-Dispersion Fiber Lasers: Exact Pulse Solutions of the Complex Ginzburg-Landau Equation

2007 ◽  
Author(s):  
W. H. Renninger ◽  
A. Chong ◽  
F. W. Wise
Keyword(s):  
Fiber Lasers ◽  
Landau Equation ◽  
Ginzburg Landau ◽  
Normal Dispersion ◽  
Ginzburg Landau Equation ◽  
Dissipative Solitons

Highly chirped dissipative solitons as a one-parameter family of stable solutions of the cubic–quintic Ginzburg–Landau equation

2011 ◽  
Vol 28 (10) ◽  
pp. 2314 ◽  
Author(s):  
Denis S. Kharenko ◽  
Olga V. Shtyrina ◽  
Irina A. Yarutkina ◽  
Evgenii V. Podivilov ◽  
Mikhail P. Fedoruk ◽  
...  
Keyword(s):  
Landau Equation ◽  
Parameter Family ◽  
Ginzburg Landau ◽  
Ginzburg Landau Equation ◽  
Dissipative Solitons ◽  
Stable Solutions

scholarly journals Transition from non-periodic to periodic explosions

2015 ◽  
Vol 373 (2056) ◽  
pp. 20150114 ◽  
Author(s):  
Carlos Cartes ◽  
Orazio Descalzi
Keyword(s):  
Transmission Lines ◽  
Landau Equation ◽  
Period Doubling ◽  
Higher Order ◽  
Ginzburg Landau ◽  
Equation Modelling ◽  
Ginzburg Landau Equation ◽  
Dissipative Solitons ◽  
Soliton Transmission ◽  
Period Doubling Bifurcations

We show the existence of periodic exploding dissipative solitons. These non-chaotic explosions appear when higher-order nonlinear and dispersive effects are added to the complex cubic–quintic Ginzburg–Landau equation modelling soliton transmission lines. This counterintuitive phenomenon is the result of period-halving bifurcations leading to order (periodic explosions), followed by period-doubling bifurcations (or intermittency) leading to chaos (non-periodic explosions).

Dark soliton solutions of the cubic-quintic complex Ginzburg–Landau equation with high-order terms and potential barriers in normal-dispersion fiber lasers

2021 ◽  
Author(s):  
Marco A. Viscarra ◽  
Deterlino Urzagasti
Keyword(s):  
Optical Fibers ◽  
Landau Equation ◽  
Soliton Solutions ◽  
Dark Soliton ◽  
Two Dimensions ◽  
Ginzburg Landau ◽  
Normal Dispersion ◽  
Homogeneous Solutions ◽  
Dark Solitons ◽  
Ginzburg Landau Equation

In this paper, we numerically study dark solitons in normal-dispersion optical fibers described by the cubic-quintic complex Ginzburg–Landau equation. The effects of the third-order dispersion, self-steepening, stimulated Raman dispersion, and external potentials are also considered. The existence, chaotic content and interactions of these objects are analyzed, as well as the tunneling through a potential barrier and the formation of dark breathers aside from dark solitons in two dimensions and their mutual interactions as well as with periodic potentials. Furthermore, the homogeneous solutions of the model and the conditions for their stability are also analytically obtained.

Stability of Dissipative Solitons as Solutions of Asymmetrical Complex Cubic-quintic Ginzburg-Landau Equation

PIERS Online ◽  
2007 ◽  
Vol 3 (1) ◽  
pp. 83-86
Author(s):  
Vladimir Skarka ◽  
N. B. Aleksic ◽  
D. Gauthier ◽  
D. V. Timotijevic
Keyword(s):  
Landau Equation ◽  
Ginzburg Landau ◽  
Ginzburg Landau Equation ◽  
Dissipative Solitons

Analytic solutions for the generalized complex Ginzburg–Landau equation in fiber lasers

2017 ◽  
Vol 89 (4) ◽  
pp. 2933-2939 ◽  
Author(s):  
Wenjun Liu ◽  
Weitian Yu ◽  
Chunyu Yang ◽  
Mengli Liu ◽  
Yujia Zhang ◽  
...  
Keyword(s):  
Fiber Lasers ◽  
Landau Equation ◽  
Analytic Solutions ◽  
Ginzburg Landau ◽  
Ginzburg Landau Equation ◽  
Generalized Complex
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