Highly Dispersive Optical Solitons with Complex Ginzburg–Landau Equation Having Six Nonlinear Forms

This paper retrieves highly dispersive optical solitons to complex Ginzburg–Landau equation having six forms of nonlinear refractive index structures for the very first time. The enhanced version of the Kudryashov approach is the adopted integration tool. Thus, bright and singular soliton solutions...

Full description

Bibliographic Details
Main Authors: Elsayed M. E. Zayed, Khaled A. Gepreel, Mahmoud El-Horbaty, Anjan Biswas, Yakup Yıldırım, Hashim M. Alshehri
Format: Article
Language:English
Published: MDPI AG 2021-12-01
Series:Mathematics
Subjects:
Online Access:https://www.mdpi.com/2227-7390/9/24/3270
_version_ 1797502660539056128
author Elsayed M. E. Zayed
Khaled A. Gepreel
Mahmoud El-Horbaty
Anjan Biswas
Yakup Yıldırım
Hashim M. Alshehri
author_facet Elsayed M. E. Zayed
Khaled A. Gepreel
Mahmoud El-Horbaty
Anjan Biswas
Yakup Yıldırım
Hashim M. Alshehri
author_sort Elsayed M. E. Zayed
collection DOAJ
description This paper retrieves highly dispersive optical solitons to complex Ginzburg–Landau equation having six forms of nonlinear refractive index structures for the very first time. The enhanced version of the Kudryashov approach is the adopted integration tool. Thus, bright and singular soliton solutions emerge from the scheme that are exhibited with their respective parameter constraints.
first_indexed 2024-03-10T03:37:20Z
format Article
id doaj.art-93cb1c88f6af4f9990ffa41fb7d6cc34
institution Directory Open Access Journal
issn 2227-7390
language English
last_indexed 2024-03-10T03:37:20Z
publishDate 2021-12-01
publisher MDPI AG
record_format Article
series Mathematics
spelling doaj.art-93cb1c88f6af4f9990ffa41fb7d6cc342023-11-23T09:26:43ZengMDPI AGMathematics2227-73902021-12-01924327010.3390/math9243270Highly Dispersive Optical Solitons with Complex Ginzburg–Landau Equation Having Six Nonlinear FormsElsayed M. E. Zayed0Khaled A. Gepreel1Mahmoud El-Horbaty2Anjan Biswas3Yakup Yıldırım4Hashim M. Alshehri5Mathematics Department, Faculty of Sciences, Zagazig University, Zagazig 44519, EgyptMathematics Department, Faculty of Sciences, Zagazig University, Zagazig 44519, EgyptMathematics Department, Faculty of Sciences, Zagazig University, Zagazig 44519, EgyptDepartment of Applied Mathematics, National Research Nuclear University, 31 Kashirskoe Hwy, 115409 Moscow, RussiaDepartment of Mathematics, Faculty of Arts and Sciences, Near East University, Nicosia 99138, CyprusMathematical Modeling and Applied Computation (MMAC) Research Group, Department of Mathematics, King Abdulaziz University, Jeddah 21589, Saudi ArabiaThis paper retrieves highly dispersive optical solitons to complex Ginzburg–Landau equation having six forms of nonlinear refractive index structures for the very first time. The enhanced version of the Kudryashov approach is the adopted integration tool. Thus, bright and singular soliton solutions emerge from the scheme that are exhibited with their respective parameter constraints.https://www.mdpi.com/2227-7390/9/24/3270solitonsrefractive indexKudryashov
spellingShingle Elsayed M. E. Zayed
Khaled A. Gepreel
Mahmoud El-Horbaty
Anjan Biswas
Yakup Yıldırım
Hashim M. Alshehri
Highly Dispersive Optical Solitons with Complex Ginzburg–Landau Equation Having Six Nonlinear Forms
Mathematics
solitons
refractive index
Kudryashov
title Highly Dispersive Optical Solitons with Complex Ginzburg–Landau Equation Having Six Nonlinear Forms
title_full Highly Dispersive Optical Solitons with Complex Ginzburg–Landau Equation Having Six Nonlinear Forms
title_fullStr Highly Dispersive Optical Solitons with Complex Ginzburg–Landau Equation Having Six Nonlinear Forms
title_full_unstemmed Highly Dispersive Optical Solitons with Complex Ginzburg–Landau Equation Having Six Nonlinear Forms
title_short Highly Dispersive Optical Solitons with Complex Ginzburg–Landau Equation Having Six Nonlinear Forms
title_sort highly dispersive optical solitons with complex ginzburg landau equation having six nonlinear forms
topic solitons
refractive index
Kudryashov
url https://www.mdpi.com/2227-7390/9/24/3270
work_keys_str_mv AT elsayedmezayed highlydispersiveopticalsolitonswithcomplexginzburglandauequationhavingsixnonlinearforms
AT khaledagepreel highlydispersiveopticalsolitonswithcomplexginzburglandauequationhavingsixnonlinearforms
AT mahmoudelhorbaty highlydispersiveopticalsolitonswithcomplexginzburglandauequationhavingsixnonlinearforms
AT anjanbiswas highlydispersiveopticalsolitonswithcomplexginzburglandauequationhavingsixnonlinearforms
AT yakupyıldırım highlydispersiveopticalsolitonswithcomplexginzburglandauequationhavingsixnonlinearforms
AT hashimmalshehri highlydispersiveopticalsolitonswithcomplexginzburglandauequationhavingsixnonlinearforms