scholarly journals Mathematical analysis of adaptive step-size techniques when solving the nonlinear Schrödinger equation for simulating light-wave propagation in optical fibers

2014 ◽  
Vol 329 ◽  
pp. 1-9 ◽  
Author(s):  
Stéphane Balac ◽  
Arnaud Fernandez
Keyword(s):  
Wave Propagation ◽  
Schrödinger Equation ◽  
Optical Fibers ◽  
Mathematical Analysis ◽  
Schrodinger Equation ◽  
Light Wave ◽  
Nonlinear Schrodinger Equation ◽  
Step Size ◽  
Adaptive Step Size ◽  
Adaptive Step

scholarly journals Obtaining Optical Solitons via Resonant Nonlinear Schröndinger’s Equation for Optical Fiber Application

2021 ◽  
Author(s):  
Ali Tozar ◽  
Orkun Tasbozan ◽  
Ali Kurt
Keyword(s):  
Nonlinear Optics ◽  
Schrödinger Equation ◽  
Nonlinear Schrödinger Equation ◽  
Optical Fibers ◽  
Schrodinger Equation ◽  
Soliton Solutions ◽  
Nonlinear Schrodinger Equation ◽  
Wave Form ◽  
Important Place ◽  
Nonlinear Schrödinger

Abstract Solitons which can be described as a localized wave form that maintain their shape after a collision with another soliton have became a very important phenomena in nonlinear optics due to their potential. They can be used as lossless information carriers in optical fibers due to their robustness arising from their particle grade stability upon a collision. Many scientists from various areas including electronic communication engineers have made solitons the main subject of study. Analytical solutions of nonlinear Schrödinger equation have a very important place in these studies. With the progress of nonlinear optics, some types of nonlinear Schrödinger equation have been derived for better understanding. Resonant nonlinear Schrödinger equation which is being used for describing nonlinear optical phenomena is a generic example for newly derived nonlinear Schrödinger equation. In this study, resonant nonlinear Schrödinger equation has been solved by using functional variable method and sixteen new soliton solutions have been obtained

Periodic soliton interactions for higher-order nonlinear Schrödinger equation in optical fibers

2020 ◽  
Vol 100 (3) ◽  
pp. 2817-2821 ◽  
Author(s):  
Jigen Chen ◽  
Zitong Luan ◽  
Qin Zhou ◽  
Abdullah Kamis Alzahrani ◽  
Anjan Biswas ◽  
...  
Keyword(s):  
Schrödinger Equation ◽  
Nonlinear Schrödinger Equation ◽  
Optical Fibers ◽  
Schrodinger Equation ◽  
Higher Order ◽  
Nonlinear Schrodinger Equation ◽  
Soliton Interactions ◽  
Nonlinear Schrödinger
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