scholarly journals Accurate Impressive Optical Solitons For Nonlinear Refractive Index Cubic-Quartic through Birefringent Fibers

2021 ◽  
Author(s):  
Emad H.M. Zahran ◽  
Ahmet Bekir
Keyword(s):  
Refractive Index ◽  
Nonlinear Refractive Index ◽  
Optical Solitons ◽  
Vital Role ◽  
Ansatz Method ◽  
Parabolic Law ◽  
Kerr Law ◽  
Main Target ◽  
Non Local ◽  
Local Law

Abstract The main target of this work implements new accurate impressive optical solitons for four forms of the nonlinear refractive index cubic-quartic through birefringent fibers which play a vital role in all modern telecommunications process. These four different forms listed under whose profile names which are the cubic-quartic in polarization-preserving fibers with its different forms which are the kerr-law, the quadratic-law, the parabolic-law and the non-local-law NLSE. These new accurate optical solitons for these different forms are extracted in the framework of the solitary wave ansatz method (SWAM) which is powerful technique that achieves accurate results for all problems that are solved in the framework of it. The achieved results will be compared by the previous results which are achieved via other authors.

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 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.

scholarly journals Cubic-quartic optical solitons in birefringent fibers with four forms of nonlinear refractive index by exp-function expansion

2020 ◽  
Vol 16 ◽  
pp. 102913 ◽  
Author(s):  
Yakup Yıldırım ◽  
Anjan Biswas ◽  
Anwar Ja’afar Mohamad Jawad ◽  
Mehmet Ekici ◽  
Qin Zhou ◽  
...  
Keyword(s):  
Refractive Index ◽  
Nonlinear Refractive Index ◽  
Optical Solitons ◽  
Function Expansion

scholarly journals Optical soliton perturbation and conservation law with Kudryashov’s refractive index having quadrupled power-law and dual form of generalized nonlocal nonlinearity

2021 ◽  
Vol 24 (1) ◽  
pp. 64-70
Author(s):  
Y. Yildirim ◽  
◽  
A. Biswas ◽  
A.H. Kara ◽  
M. Ekici ◽  
...  
Keyword(s):  
Refractive Index ◽  
Power Law ◽  
Nonlinear Refractive Index ◽  
Conservation Law ◽  
Optical Solitons ◽  
Optical Soliton ◽  
Complete Picture ◽  
Nonlocal Nonlinearity ◽  
Dual Form ◽  
Soliton Perturbation

This paper is devoted to optical solitons for Kudryashov’s law of nonlinear refractive index, which stem from quadrupled-power law and dual form of nonlocal nonlinearity. The conservation law has been also exhibited to paint a complete picture of the model.

Optical solitons in fiber Bragg gratings having Kerr law of refractive index with extended Kudryashov’s method and new extended auxiliary equation approach

2020 ◽  
Vol 66 ◽  
pp. 187-205 ◽  
Author(s):  
Elsayed M.E. Zayed ◽  
Mohamed E.M. Alngar ◽  
Mahmoud El-Horbaty ◽  
Anjan Biswas ◽  
Ali Saleh Alshomrani ◽  
...  
Keyword(s):  
Refractive Index ◽  
Fiber Bragg Gratings ◽  
Bragg Gratings ◽  
Optical Solitons ◽  
Auxiliary Equation ◽  
Equation Approach ◽  
Kerr Law

Solitons in fiber Bragg gratings with cubic–quartic dispersive reflectivity having Kerr law of nonlinear refractive index

2021 ◽  
pp. 2050011
Author(s):  
Elsayed M. E. Zayed ◽  
Mohamed E. M. Alngar ◽  
Anjan Biswas ◽  
Mehmet Ekici ◽  
Abdullah Khamis Alzahrani ◽  
...  
Keyword(s):  
Refractive Index ◽  
Nonlinear Refractive Index ◽  
Kerr Effect ◽  
Chromatic Dispersion ◽  
Fiber Bragg Gratings ◽  
Soliton Solutions ◽  
Auxiliary Equation ◽  
Equation Approach ◽  
Complete Spectrum ◽  
Kerr Law

This paper retrieves soliton solutions to fiber Bragg ratings with dispersive reflectivity where cubic–quartic dispersive effects are considered as opposed to the usual chromatic dispersion. The auxiliary equation approach and an addendum to Kudryashov’s scheme display a complete spectrum of soliton forms to the model that is studied with Kerr effect.

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.

Optical solitons in parabolic law medium with weak non-local nonlinearity using modified extended direct algebraic method

Optik ◽  
2018 ◽  
Vol 161 ◽  
pp. 180-186 ◽  
Author(s):  
Malwe Boudoue Hubert ◽  
Mibaile Justin ◽  
Gambo Betchewe ◽  
Serge Y. Doka ◽  
Anjan Biswas ◽  
...  
Keyword(s):  
Algebraic Method ◽  
Optical Solitons ◽  
Parabolic Law ◽  
Non Local ◽  
Local Nonlinearity

Highly dispersive optical solitons perturbation having Kudryashov’s arbitrary form with sextic-power law refractive index and generalized non-local laws

Optik ◽  
2021 ◽  
Vol 228 ◽  
pp. 166120
Author(s):  
Taher A. Nofal ◽  
Elsayed M.E. Zayed ◽  
Mohamed E.M. Alngar ◽  
Reham M.A. Shohib ◽  
Mehmet Ekici
Keyword(s):  
Refractive Index ◽  
Power Law ◽  
Optical Solitons ◽  
Arbitrary Form ◽  
Non Local
Sign in / Sign up

Export Citation Format

Share Document