Analytic combined bright-dark, bright and dark solitons solutions of generalized nonlinear Schrödinger equation using extended Sinh-Gordon equation expansion method

In this paper, we find analytic solutions of generalized nonlinear Schrödinger equation (GNLSE), the underlying equation for studying pulse propagation through optical waveguides, by implementing the extended Sinh-Gordon equation expansion method (ShGEEM). Here, the terms corresponding to second and...

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Main Authors:	A. Safaei Bezgabadi, M.A. Bolorizadeh
Format:	Article
Language:	English
Published:	Elsevier 2021-11-01
Series:	Results in Physics
Subjects:	Generalized nonlinear schrödinger equation Optical soliton Pulse propagation Sinh-gordon equation expansion method Bright-dark soliton
Online Access:	http://www.sciencedirect.com/science/article/pii/S2211379721008962

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spelling	doaj-48caf51744b146d88fa0a798045ed8a32021-10-03T04:40:04ZengElsevierResults in Physics2211-37972021-11-0130104852Analytic combined bright-dark, bright and dark solitons solutions of generalized nonlinear Schrödinger equation using extended Sinh-Gordon equation expansion methodA. Safaei Bezgabadi0M.A. Bolorizadeh1Department of Nanotechnology, Graduate University of Advanced Technology, Kerman, Iran; Corresponding author.Department of Photonics, Graduate University of Advanced Technology, Kerman, IranIn this paper, we find analytic solutions of generalized nonlinear Schrödinger equation (GNLSE), the underlying equation for studying pulse propagation through optical waveguides, by implementing the extended Sinh-Gordon equation expansion method (ShGEEM). Here, the terms corresponding to second and third order dispersion, waveguide’s loss, Kerr Effect, self-steepening and Raman Effect are included in GNLSE. The obtained analytic solutions represent bright, dark and combined bright-dark solitons. The constraint conditions for the existence of valid solutions are given. Also, the new solutions are graphically shown for pulse propagation along a photonic crystal fiber.http://www.sciencedirect.com/science/article/pii/S2211379721008962Generalized nonlinear schrödinger equationOptical solitonPulse propagationSinh-gordon equation expansion methodBright-dark soliton
collection	DOAJ
language	English
format	Article
sources	DOAJ
author	A. Safaei Bezgabadi M.A. Bolorizadeh
spellingShingle	A. Safaei Bezgabadi M.A. Bolorizadeh Analytic combined bright-dark, bright and dark solitons solutions of generalized nonlinear Schrödinger equation using extended Sinh-Gordon equation expansion method Results in Physics Generalized nonlinear schrödinger equation Optical soliton Pulse propagation Sinh-gordon equation expansion method Bright-dark soliton
author_facet	A. Safaei Bezgabadi M.A. Bolorizadeh
author_sort	A. Safaei Bezgabadi
title	Analytic combined bright-dark, bright and dark solitons solutions of generalized nonlinear Schrödinger equation using extended Sinh-Gordon equation expansion method
title_short	Analytic combined bright-dark, bright and dark solitons solutions of generalized nonlinear Schrödinger equation using extended Sinh-Gordon equation expansion method
title_full	Analytic combined bright-dark, bright and dark solitons solutions of generalized nonlinear Schrödinger equation using extended Sinh-Gordon equation expansion method
title_fullStr	Analytic combined bright-dark, bright and dark solitons solutions of generalized nonlinear Schrödinger equation using extended Sinh-Gordon equation expansion method
title_full_unstemmed	Analytic combined bright-dark, bright and dark solitons solutions of generalized nonlinear Schrödinger equation using extended Sinh-Gordon equation expansion method
title_sort	analytic combined bright-dark, bright and dark solitons solutions of generalized nonlinear schrödinger equation using extended sinh-gordon equation expansion method
publisher	Elsevier
series	Results in Physics
issn	2211-3797
publishDate	2021-11-01
description	In this paper, we find analytic solutions of generalized nonlinear Schrödinger equation (GNLSE), the underlying equation for studying pulse propagation through optical waveguides, by implementing the extended Sinh-Gordon equation expansion method (ShGEEM). Here, the terms corresponding to second and third order dispersion, waveguide’s loss, Kerr Effect, self-steepening and Raman Effect are included in GNLSE. The obtained analytic solutions represent bright, dark and combined bright-dark solitons. The constraint conditions for the existence of valid solutions are given. Also, the new solutions are graphically shown for pulse propagation along a photonic crystal fiber.
topic	Generalized nonlinear schrödinger equation Optical soliton Pulse propagation Sinh-gordon equation expansion method Bright-dark soliton
url	http://www.sciencedirect.com/science/article/pii/S2211379721008962
work_keys_str_mv	AT asafaeibezgabadi analyticcombinedbrightdarkbrightanddarksolitonssolutionsofgeneralizednonlinearschrodingerequationusingextendedsinhgordonequationexpansionmethod AT mabolorizadeh analyticcombinedbrightdarkbrightanddarksolitonssolutionsofgeneralizednonlinearschrodingerequationusingextendedsinhgordonequationexpansionmethod
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Analytic combined bright-dark, bright and dark solitons solutions of generalized nonlinear Schrödinger equation using extended Sinh-Gordon equation expansion method

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