Novel soliton solutions of the fractal Biswas–Milovic model arising in Photonics

2020 ◽  
pp. 2150001
Author(s):  
Yasir Khan
Keyword(s):  
Schrödinger Equation ◽  
Nonlinear Schrödinger Equation ◽  
Optical Fibers ◽  
Variational Approach ◽  
Schrodinger Equation ◽  
Soliton Solutions ◽  
Nonlinear Schrodinger Equation ◽  
Nonlinear Schrödinger ◽  
Contour Plots ◽  
Generalized Nonlinear Schrödinger Equation

This paper introduces the fractal form of the generalized nonlinear Schrödinger equation, newly named as the Biswas–Milovic model (BM). The BM equation theoretically explains the transmission of solitons for transatlantic and transcontinental distances utilizing optical fibers. The BM equation relating to Kerr law, parabolic law and nonlinearity quadratic law was studied using a variational approach for optical soliton solutions. Essential novel conditions are presented that guarantee the existence of the appropriate solitons. Besides, the physical action of the solution obtained was recorded in terms of 3D and contour plots for distinct parameters for the three different nonlinearities. This study shows the relevance and huge potential of the variational approach to the generalized nonlinear Schrödinger equation.

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

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