Dispersive solitary wave and soliton solutions of the gernalized third order nonlinear Schrödinger dynamical equation by modified analytical method

In this article, Generalized Riccati mapping method is analysed to drive the several sorts of solitons such as dark and bright solitons, periodic solitons, trigonometric function and solitary waves solutions of generalized non-linear Schrödinger equation of third order. This dynamical model has sign...

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Main Authors: Naila Nasreen, Aly R. Seadawy, Dianchen Lu, Wafaa A. Albarakati
Format: Article
Language:English
Published: Elsevier 2019-12-01
Series:Results in Physics
Online Access:http://www.sciencedirect.com/science/article/pii/S2211379719324076
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spelling doaj-c5ca2f08cf0f44ca932b4f75ae940b9c2020-11-25T01:11:16ZengElsevierResults in Physics2211-37972019-12-0115Dispersive solitary wave and soliton solutions of the gernalized third order nonlinear Schrödinger dynamical equation by modified analytical methodNaila Nasreen0Aly R. Seadawy1Dianchen Lu2Wafaa A. Albarakati3Faculty of Science, Jiangsu University, Zhenjiang, Jiangsu 212013, PR ChinaMathematics Department, Faculty of Science, Taibah University, Al-Madinah Al-Munawarah, Saudi Arabia; Corresponding author.Faculty of Science, Jiangsu University, Zhenjiang, Jiangsu 212013, PR ChinaDepartment of Mathematics, Faculty of Sciences, King Abdulaziz University, Jeddah 21589, Saudi ArabiaIn this article, Generalized Riccati mapping method is analysed to drive the several sorts of solitons such as dark and bright solitons, periodic solitons, trigonometric function and solitary waves solutions of generalized non-linear Schrödinger equation of third order. This dynamical model has significance application in various fields such as it is utilized in optical fibers to model pulses of ultra-short. We also present graphical presentation of various types of solution in 3 dimensional, 2 dimensional and counter plot to make understand the physical phenomena’s. The computing exertion and attained results confirm the influence and effectiveness of current methods. Keywords: Generalized third order NLSE, Riccati mapping method, Optical soliton pulses, Periodic solutionshttp://www.sciencedirect.com/science/article/pii/S2211379719324076
collection DOAJ
language English
format Article
sources DOAJ
author Naila Nasreen
Aly R. Seadawy
Dianchen Lu
Wafaa A. Albarakati
spellingShingle Naila Nasreen
Aly R. Seadawy
Dianchen Lu
Wafaa A. Albarakati
Dispersive solitary wave and soliton solutions of the gernalized third order nonlinear Schrödinger dynamical equation by modified analytical method
Results in Physics
author_facet Naila Nasreen
Aly R. Seadawy
Dianchen Lu
Wafaa A. Albarakati
author_sort Naila Nasreen
title Dispersive solitary wave and soliton solutions of the gernalized third order nonlinear Schrödinger dynamical equation by modified analytical method
title_short Dispersive solitary wave and soliton solutions of the gernalized third order nonlinear Schrödinger dynamical equation by modified analytical method
title_full Dispersive solitary wave and soliton solutions of the gernalized third order nonlinear Schrödinger dynamical equation by modified analytical method
title_fullStr Dispersive solitary wave and soliton solutions of the gernalized third order nonlinear Schrödinger dynamical equation by modified analytical method
title_full_unstemmed Dispersive solitary wave and soliton solutions of the gernalized third order nonlinear Schrödinger dynamical equation by modified analytical method
title_sort dispersive solitary wave and soliton solutions of the gernalized third order nonlinear schrödinger dynamical equation by modified analytical method
publisher Elsevier
series Results in Physics
issn 2211-3797
publishDate 2019-12-01
description In this article, Generalized Riccati mapping method is analysed to drive the several sorts of solitons such as dark and bright solitons, periodic solitons, trigonometric function and solitary waves solutions of generalized non-linear Schrödinger equation of third order. This dynamical model has significance application in various fields such as it is utilized in optical fibers to model pulses of ultra-short. We also present graphical presentation of various types of solution in 3 dimensional, 2 dimensional and counter plot to make understand the physical phenomena’s. The computing exertion and attained results confirm the influence and effectiveness of current methods. Keywords: Generalized third order NLSE, Riccati mapping method, Optical soliton pulses, Periodic solutions
url http://www.sciencedirect.com/science/article/pii/S2211379719324076
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