Chirped and chirpfree soliton solutions of generalized nonlinear Schrödinger equation with distributed coefficients

Optik ◽  
2014 ◽  
Vol 125 (12) ◽  
pp. 2938-2949 ◽  
Author(s):  
Hitender Kumar ◽  
Fakir Chand
Keyword(s):  
Schrödinger Equation ◽  
Nonlinear Schrödinger Equation ◽  
Schrodinger Equation ◽  
Soliton Solutions ◽  
Nonlinear Schrodinger Equation ◽  
Nonlinear Schrödinger ◽  
Generalized Nonlinear Schrödinger Equation

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.

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