Optical solitons in (n + 1) dimensions with Kerr and power law nonlinearities

2017 ◽  
Vol 31 (15) ◽  
pp. 1750186 ◽  
Author(s):  
Muhammad Younis
Keyword(s):  
Optical Fibers ◽  
Power Law ◽  
Schrodinger Equation ◽  
Optical Solitons ◽  
Nonlinear Schrodinger Equation ◽  
Bright Soliton ◽  
Light Pulses ◽  
Propagation Of Light ◽  
First Time ◽  
Expansion Scheme

The paper studies the dynamics of optical solitons in [Formula: see text]-dimensional nonlinear Schrödinger equation with Kerr and power law nonlinearities that describe the propagation of light pulses in optical fibers. First time the dark and singular optical solitons are extracted in [Formula: see text] dimensions. The [Formula: see text]-expansion scheme is used to analyze these solutions. Additionally, the constraint conditions for the existence of the solutions are also listed. However, the scheme fails to retrieve the bright soliton.

scholarly journals Modulation analysis and optical solitons of perturbed nonlinear Schrodinger equation

2021 ◽  
Vol 67 (4 Jul-Aug) ◽  
pp. 040705
Author(s):  
A. Houwe ◽  
J. Sabi'u ◽  
G. Betchewe ◽  
M. Inc ◽  
S. Y. Doka
Keyword(s):  
Schrödinger Equation ◽  
Nonlinear Schrödinger Equation ◽  
Optical Fibers ◽  
Schrodinger Equation ◽  
Optical Solitons ◽  
Nonlinear Schrodinger Equation ◽  
Nonlinear Schrödinger ◽  
Proposed Model ◽  
Spatio Temporal ◽  
Temporal Dispersion

We investigate modulation analysis and optical solitons of perturbed nonlinear Schrodinger equation (PNLSE). The PNLSE has terms of cubic nonlinearity and self-steepening and spatio-temporal dispersion (STD). Proposed model has been studied by [14, 15] without self-steepening term. The presence of the STD and self-steepening can help to compensate the low GVD to the model. Bright and dark solitary waves, trigonometric, periodic andsingular optical solitons are obtained by some expansion methods including exponential and sinh-Gordon. Obtained results will hold a significant place in the field of nonlinear optical fibers, where solitons are used to codify data.

scholarly journals Multiple Accurate-Cubic Optical Solitons to the Kerr-Low and Power-low Nonlinear Schrodinger Equation without the Chromatic Dispersion

2021 ◽  
Author(s):  
Emad H.M. Zahran ◽  
Ahmet Bekir
Keyword(s):  
Schrödinger Equation ◽  
Nonlinear Schrödinger Equation ◽  
Power Law ◽  
Schrodinger Equation ◽  
Chromatic Dispersion ◽  
Optical Solitons ◽  
Nonlinear Schrodinger Equation ◽  
Ansatz Method ◽  
Nonlinear Schrödinger ◽  
Kerr Law

Abstract The main target of this work is implementing multiple accurate cubic optical solitons for the nonlinear Schrödinger equation in the presence of third-order dispersion effects, absence of the chromatic dispersion. The emergence cubic optical solitons of the proposed model are extracted for the kerr-law and power law nonlinearity in the framework of two distinct techniques, the first one is the extended simple equation method (ESEM), while the other is the solitary wave ansatz method (SWAM). These cubic optical solitons for the kerr-law and power law nonlinearity have been extracted successfully at the same time and parallel via these two different techniques. A good comparison not only between our achieved results by these two manners but also with that achieved previously has been extracted. .

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