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...
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Elsevier
2023-11-01
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Series: | Results in Physics |
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Online Access: | http://www.sciencedirect.com/science/article/pii/S2211379723009531 |
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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. |
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issn | 2211-3797 |
language | English |
last_indexed | 2024-03-11T07:34:26Z |
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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 |
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