Exact solitons in a medium with competing weakly nonlocal nonlinearity and parabolic law nonlinearity

2015 ◽  
Vol 24 (04) ◽  
pp. 1550049 ◽  
Author(s):  
Muhammad Younis ◽  
Ali Sardar ◽  
Syed Tahir Raza Rizvi ◽  
Qin Zhou
Keyword(s):  
Physical Model ◽  
Soliton Solutions ◽  
Optical Solitons ◽  
Nonlocal Nonlinearity ◽  
Parabolic Law ◽  
Parabolic Law Nonlinearity ◽  
Expansion Scheme

This work studies the optical solitons in the physical model that describes the propagation of optical solitons in a medium with competing weakly nonlocal nonlinearity and parabolic law nonlinearity via the [Formula: see text]-expansion scheme, exact dark and singular one-soliton solutions, along with the constraint conditions, are reported.

Optical solitons in nonlinear directional couplers with G′/G-expansion scheme

2015 ◽  
Vol 24 (02) ◽  
pp. 1550017 ◽  
Author(s):  
Mohammad Mirzazadeh ◽  
Mostafa Eslami ◽  
Qin Zhou ◽  
M. F. Mahmood ◽  
Essaid Zerrad ◽  
...  
Keyword(s):  
Power Law ◽  
Soliton Solutions ◽  
Nearest Neighbors ◽  
Optical Solitons ◽  
Nonlinear Media ◽  
Parabolic Law ◽  
Kerr Law ◽  
Singular Soliton ◽  
Optical Couplers ◽  
Expansion Scheme

This paper obtains soliton solutions in optical couplers. The governing equation is solved by the aid of G′/G-expansion scheme. There are four types of nonlinear media that are taken into consideration. These are Kerr law, power law, parabolic law, and dual-power law. There are two kinds optical couplers studied in this paper. They are twin-core couplers and multiple-core couplers, where coupling with nearest neighbors as well as coupling with all neighbors are considered. Dark and singular soliton solutions are retrieved. These soliton solutions come with constraint conditions that must hold for the solitons to exist.

Optical Solitons with Parabolic Law Nonlinearity and Time-Dependent Coefficients by G′/G-Expansion Scheme

2016 ◽  
Vol 13 (7) ◽  
pp. 4699-4702
Author(s):  
Anjan Biswas ◽  
M Mirzazadeh ◽  
M Eslami ◽  
Qin Zhou ◽  
Ali H Bhrawy ◽  
...  
Keyword(s):  
Optical Solitons ◽  
Time Dependent ◽  
Parabolic Law ◽  
Parabolic Law Nonlinearity ◽  
Expansion Scheme

Optical solitons in fiber Bragg gratings with dispersive reflectivity for parabolic law nonlinearity using undetermined coefficients

Optik ◽  
2019 ◽  
Vol 185 ◽  
pp. 39-44 ◽  
Author(s):  
Anjan Biswas ◽  
Jose Vega-Guzman ◽  
Mohammad F. Mahmood ◽  
Mehmet Ekici ◽  
Qin Zhou ◽  
...  
Keyword(s):  
Fiber Bragg Gratings ◽  
Bragg Gratings ◽  
Optical Solitons ◽  
Parabolic Law ◽  
Parabolic Law Nonlinearity

scholarly journals New Private Types for the Cubic-Quartic Optical Solitons in Birefringent Fibers in Its Four Forms of Nonlinear Refractive Index

2021 ◽  
Author(s):  
Emad H.M. Zahran ◽  
Ahmet Bekir
Keyword(s):  
Refractive Index ◽  
Nonlinear Refractive Index ◽  
Optical Solitons ◽  
Simple Equation ◽  
Equation Method ◽  
Parabolic Law ◽  
Non Local ◽  
Science Problem ◽  
Local Law ◽  
Parabolic Law Nonlinearity

Abstract From the point power of view of the extended simple equation method, multiple new private distinct types for the cubic-quartic optical soliton birefringent fibers with four forms nonlinear refractive index which have and play a vital effective effect in all modern telecommunications process have been extracted. The suggested method which continuously gives surprise accurate results for most nonlinear science problem has been implemented to extract multiple new accurate cubic-quartic soliton for the different forms of the NLSE which are, the cubic-quartic in polarization-preserving fibers with the kerr-low nonlinearity, quadratic-cubic law nonlinearity, parabolic law nonlinearity and non-local law nonlinearity. Actual comparison between the achieved results and that demonstrated by other authors has been established.

OPTICAL SOLITONS IN MULTI-DIMENSIONS WITH SPATIO-TEMPORAL DISPERSION AND NON-KERR LAW NONLINEARITY

2013 ◽  
Vol 22 (03) ◽  
pp. 1350035 ◽  
Author(s):  
YANAN XU ◽  
ZLATKO JOVANOSKI ◽  
ABDELAZIZ BOUASLA ◽  
HOURIA TRIKI ◽  
LUMINITA MORARU ◽  
...  
Keyword(s):  
Power Law ◽  
Necessary Conditions ◽  
Soliton Solutions ◽  
Optical Solitons ◽  
Parabolic Law ◽  
Kerr Law ◽  
Kerr Law Nonlinearity ◽  
Spatio Temporal ◽  
Ansatz Approach ◽  
Temporal Dispersion

This paper studies the dynamics of optical solitons in multi-dimensions with spatio-temporal dispersion and non-Kerr law nonlinearity. The integrability aspect is the main focus of this paper. Five different forms of nonlinearity are considered — Kerr law, power law, parabolic law, dual-power law and log law nonlinearity. The traveling wave hypothesis, ansatz approach and the semi-inverse variational principle are the integration tools that are adopted to retrieve the soliton solutions to the governing equation. As a result, several constraint conditions arise out of the integration process and represent necessary conditions for the existence of solitons.

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