scholarly journals Time-Frequency (Wigner) Analysis of Linear and Nonlinear Pulse Propagation in Optical Fibers

2005 ◽  
Vol 2005 (10) ◽  
Author(s):  
José Azaña
Keyword(s):  
Optical Fibers ◽  
Pulse Propagation ◽  
Time Frequency ◽  
Nonlinear Pulse Propagation ◽  
Linear And Nonlinear

Analytical simulations of the Fokas system; extension (2 + 1)-dimensional nonlinear Schrödinger equation

2021 ◽  
Author(s):  
Mostafa M. A. Khater
Keyword(s):  
Optical Fibers ◽  
Pulse Propagation ◽  
Dynamical Behavior ◽  
Nls Equation ◽  
Nonlinear Schrödinger ◽  
Contour Plots ◽  
System Extension ◽  
Inverse Spectral Method ◽  
Nonlinear Pulse Propagation ◽  
The Stability

This paper studies novel analytical solutions of the extended [Formula: see text]-dimensional nonlinear Schrödinger (NLS) equation which is also known with [Formula: see text]-dimensional complex Fokas ([Formula: see text]D–CF) system. Fokas derived this system in 1994 by using the inverse spectral method. This model is considered as an icon model for nonlinear pulse propagation in monomode optical fibers. Many novel computational solutions are constructed through two recent analytical schemes (Ansatz and Projective Riccati expansion (PRE) methods). These solutions are represented through sketches in 2D, 3D, and contour plots to demonstrate the dynamical behavior of pulse propagation in breather, rogue, periodic, lump, and solitary characteristics. The stability property of the obtained solutions is examined based on the Hamiltonian system’s properties. The obtained solutions are checked by putting them back into the original equation through Mathematica 12 software.

Bifurcations and Exact Traveling Wave Solutions for a Model of Nonlinear Pulse Propagation in Optical Fibers

2014 ◽  
Vol 24 (06) ◽  
pp. 1450088
Author(s):  
Jibin Li
Keyword(s):  
Optical Fibers ◽  
Traveling Wave ◽  
Pulse Propagation ◽  
Dynamical Behavior ◽  
Traveling Wave Solutions ◽  
Wave System ◽  
Exact Traveling Wave Solutions ◽  
Wave Solutions ◽  
Nonlinear Pulse Propagation

In this paper, we consider a model of nonlinear pulse propagation in optical fibers. By investigating the dynamical behavior and bifurcations of solutions of the traveling wave system of PDE, we derive all possible exact explicit traveling wave solutions under different parameter conditions. These results completed the study of traveling wave solutions for the mentioned model posed by [Lenells, 2009].

scholarly journals Nonlinear pulse propagation in optical fibers using second order moments

2007 ◽  
Vol 15 (16) ◽  
pp. 10075 ◽  
Author(s):  
Bryan Burgoyne ◽  
Nicolas Godbout ◽  
Suzanne Lacroix
Keyword(s):  
Optical Fibers ◽  
Pulse Propagation ◽  
Second Order ◽  
Nonlinear Pulse Propagation

Linear and nonlinear pulse propagation in a multiple-quantum-well photonic crystal

2004 ◽  
Vol 70 (7) ◽  
Author(s):  
N. C. Nielsen ◽  
J. Kuhl ◽  
M. Schaarschmidt ◽  
J. Förstner ◽  
A. Knorr ◽  
...  
Keyword(s):  
Photonic Crystal ◽  
Quantum Well ◽  
Pulse Propagation ◽  
Multiple Quantum Well ◽  
Multiple Quantum ◽  
Nonlinear Pulse Propagation ◽  
Linear And Nonlinear

Nonlinear pulse propagation in elliptically birefringent optical fibers

1996 ◽  
Vol 90 (3) ◽  
pp. 271-279 ◽  
Author(s):  
M.F. Mahmood ◽  
W.W. Zachary ◽  
T.L. Gill
Keyword(s):  
Optical Fibers ◽  
Pulse Propagation ◽  
Nonlinear Pulse Propagation
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