Propagation of chirped optical solitons for perturbation higher order nonlinear Schrödinger equation with dual-power law nonlinearity by ϕ6 expansion method

New exact solutions for the perturbation higher order nonlinear Schrödinger equation (NLSE) with dual-power law nonlinearity are investigated using the ϕ6 expansion method. This type of NLSE models the propagation of femtosecond pulses in fiber optics which has many applications such as infrared tim...

Full description

Bibliographic Details
Main Authors: Noha M. Kamel, Hamdy M. Ahmed, Wafaa B. Rabie
Format: Article
Language:English
Published: Elsevier 2023-11-01
Series:Results in Physics
Subjects:
Online Access:http://www.sciencedirect.com/science/article/pii/S2211379723009531
_version_ 1797615959671832576
author Noha M. Kamel
Hamdy M. Ahmed
Wafaa B. Rabie
author_facet Noha M. Kamel
Hamdy M. Ahmed
Wafaa B. Rabie
author_sort Noha M. Kamel
collection DOAJ
description New exact solutions for the perturbation higher order nonlinear Schrödinger equation (NLSE) with dual-power law nonlinearity are investigated using the ϕ6 expansion method. This type of NLSE models the propagation of femtosecond pulses in fiber optics which has many applications such as infrared time-resolved spectroscopy, ultrahigh-bit-rate optical communication systems and ultrafast optics. The application of ϕ6 expansion technique provided many different types of solutions. Dark solitons, bright solitons, singular solitons, hyperbolic solutions, periodic and singular periodic solutions are obtained. The graphical representations of some selected solutions are provided to present both the dynamical behavior of solutions and the effect of changing the nonlinearity degree on their dynamical behavior. This study concludes that the nonlinearity degree controls the dynamical behavior of the light pulse.
first_indexed 2024-03-11T07:34:26Z
format Article
id doaj.art-e9a034ea15794b3a8ae12617f1fe9930
institution Directory Open Access Journal
issn 2211-3797
language English
last_indexed 2024-03-11T07:34:26Z
publishDate 2023-11-01
publisher Elsevier
record_format Article
series Results in Physics
spelling doaj.art-e9a034ea15794b3a8ae12617f1fe99302023-11-17T05:26:41ZengElsevierResults in Physics2211-37972023-11-0154107160Propagation of chirped optical solitons for perturbation higher order nonlinear Schrödinger equation with dual-power law nonlinearity by ϕ6 expansion methodNoha M. Kamel0Hamdy M. Ahmed1Wafaa B. Rabie2Department of Physics and Engineering Mathematics, Faculty of Engineering, Ain Shams University, Cairo, EgyptDepartment of Physics and Engineering Mathematics, Higher Institute of Engineering, El-Shorouk Academy, Cairo, Egypt; Corresponding author.Department of Physics and Engineering Mathematics, Higher Institute of Engineering and Technology, Tanta, EgyptNew exact solutions for the perturbation higher order nonlinear Schrödinger equation (NLSE) with dual-power law nonlinearity are investigated using the ϕ6 expansion method. This type of NLSE models the propagation of femtosecond pulses in fiber optics which has many applications such as infrared time-resolved spectroscopy, ultrahigh-bit-rate optical communication systems and ultrafast optics. The application of ϕ6 expansion technique provided many different types of solutions. Dark solitons, bright solitons, singular solitons, hyperbolic solutions, periodic and singular periodic solutions are obtained. The graphical representations of some selected solutions are provided to present both the dynamical behavior of solutions and the effect of changing the nonlinearity degree on their dynamical behavior. This study concludes that the nonlinearity degree controls the dynamical behavior of the light pulse.http://www.sciencedirect.com/science/article/pii/S2211379723009531Optical solitonsFemtosecond light pulseDual power law nonlinearityϕ6expansion method
spellingShingle Noha M. Kamel
Hamdy M. Ahmed
Wafaa B. Rabie
Propagation of chirped optical solitons for perturbation higher order nonlinear Schrödinger equation with dual-power law nonlinearity by ϕ6 expansion method
Results in Physics
Optical solitons
Femtosecond light pulse
Dual power law nonlinearity
ϕ6expansion method
title Propagation of chirped optical solitons for perturbation higher order nonlinear Schrödinger equation with dual-power law nonlinearity by ϕ6 expansion method
title_full Propagation of chirped optical solitons for perturbation higher order nonlinear Schrödinger equation with dual-power law nonlinearity by ϕ6 expansion method
title_fullStr Propagation of chirped optical solitons for perturbation higher order nonlinear Schrödinger equation with dual-power law nonlinearity by ϕ6 expansion method
title_full_unstemmed Propagation of chirped optical solitons for perturbation higher order nonlinear Schrödinger equation with dual-power law nonlinearity by ϕ6 expansion method
title_short Propagation of chirped optical solitons for perturbation higher order nonlinear Schrödinger equation with dual-power law nonlinearity by ϕ6 expansion method
title_sort propagation of chirped optical solitons for perturbation higher order nonlinear schrodinger equation with dual power law nonlinearity by ϕ6 expansion method
topic Optical solitons
Femtosecond light pulse
Dual power law nonlinearity
ϕ6expansion method
url http://www.sciencedirect.com/science/article/pii/S2211379723009531
work_keys_str_mv AT nohamkamel propagationofchirpedopticalsolitonsforperturbationhigherordernonlinearschrodingerequationwithdualpowerlawnonlinearitybyph6expansionmethod
AT hamdymahmed propagationofchirpedopticalsolitonsforperturbationhigherordernonlinearschrodingerequationwithdualpowerlawnonlinearitybyph6expansionmethod
AT wafaabrabie propagationofchirpedopticalsolitonsforperturbationhigherordernonlinearschrodingerequationwithdualpowerlawnonlinearitybyph6expansionmethod