Effects of the septic nonlinearity and the initial value of the radius of orbital angular momentum beams on data transmission in optical fibers using the cubic-quintic-septic complex Ginzburg-Landau equation in presence of higher-order dispersions

2021 ◽  
Vol 147 ◽  
pp. 110957
Author(s):  
M. Djoko ◽  
Conrad Bertrand Tabi ◽  
T.C. Kofane
Keyword(s):  
Angular Momentum ◽  
Optical Fibers ◽  
Orbital Angular Momentum ◽  
Data Transmission ◽  
Landau Equation ◽  
Higher Order ◽  
Initial Value ◽  
Ginzburg Landau ◽  
Ginzburg Landau Equation

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.

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