Bright and dark soliton solutions for the perturbed nonlinear Schrödinger’s equation with Kerr law and non-Kerr law nonlinearity

2014 ◽  
Vol 247 ◽  
pp. 501-510 ◽  
Author(s):  
M.S. Abdel Latif
Keyword(s):  
Soliton Solutions ◽  
Dark Soliton ◽  
Schrödinger’S Equation ◽  
Kerr Law ◽  
Kerr Law Nonlinearity ◽  
Schrödinger's Equation ◽  
Nonlinear Schrodinger’S Equation ◽  
Nonlinear Schrödinger’S Equation

OPTICAL SOLITON PERTURBATION IN NANOFIBERS WITH IMPROVED NONLINEAR SCHRÖDINGER'S EQUATION BY SEMI-INVERSE VARIATIONAL PRINCIPLE

2012 ◽  
Vol 21 (04) ◽  
pp. 1250054 ◽  
Author(s):  
ANJAN BISWAS ◽  
DANIELA MILOVIC ◽  
MICHELLE SAVESCU ◽  
MOHAMMAD F. MAHMOOD ◽  
KAISAR R. KHAN ◽  
...  
Keyword(s):  
Variational Principle ◽  
Optical Fibers ◽  
Soliton Solutions ◽  
Schrödinger’S Equation ◽  
Soliton Perturbation ◽  
Kerr Law ◽  
Log Law ◽  
Schrödinger's Equation ◽  
Nonlinear Schrodinger’S Equation ◽  
Nonlinear Schrödinger’S Equation

This paper studies the perturbation of the improved version of the nonlinear Schrödinger's equation that governs the propagation of solitons through nonlinear optical fibers. The semi-inverse variational principle is employed in order to obtain an analytical soliton solution in presence of the perturbation terms. There are three types of nonlinearity that will be studied. They are Kerr law, power law and the log law. The constraint conditions will naturally fall out in order for the soliton solutions to exist. The numerical simulations supplement the analytical results for each of the three laws of nonlinearity.

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