Extracting novel categories of analytical wave solutions to a nonlinear Schrödinger equation of unstable type

Solving partial differential equations has always been one of the significant tools in mathematics for modeling applied phenomena. In this paper, using an efficient analytical technique, exact solutions for the unstable Schrödinger equation are constructed. This type of the Schrödinger equation desc...

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Autores principales:	Yan Cao, Hayder A. Dhahad, Fahd Jarad, Kamal Sharma, Ali A. Rajhi, A.S. El-Shafay, Shima Rashidi, Shahram Rezapour, S.A. Najati, Ayman A. Aly, Abdulaziz H. Alghtani, Muhammad Bilal Riaz
Formato:	article
Lenguaje:	EN
Publicado:	Elsevier 2021
Materias:	Unstable nonlinear Schrödinger equation Traveling wave solutions Optical fibers Nonlinear algebraic system Physics QC1-999
Acceso en línea:	https://doaj.org/article/03d6503a4074494d90dd2b01d85ed918
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spelling	oai:doaj.org-article:03d6503a4074494d90dd2b01d85ed9182021-11-26T04:28:13ZExtracting novel categories of analytical wave solutions to a nonlinear Schrödinger equation of unstable type2211-379710.1016/j.rinp.2021.105036https://doaj.org/article/03d6503a4074494d90dd2b01d85ed9182021-12-01T00:00:00Zhttp://www.sciencedirect.com/science/article/pii/S2211379721010287https://doaj.org/toc/2211-3797Solving partial differential equations has always been one of the significant tools in mathematics for modeling applied phenomena. In this paper, using an efficient analytical technique, exact solutions for the unstable Schrödinger equation are constructed. This type of the Schrödinger equation describes the disturbance of time period in slightly stable and unstable media and manages the instabilities of lossless symmetric two stream plasma and two layer baroclinic. The basis of this method is the generalization of some commonly used methods in the literature. To better demonstrate the results, we perform many numerical simulations corresponding to the solutions. All these solutions are new achievements for this form of the equation that have not been acquired in previous research. As one of the strengths of the article, it can be pointed out that not only is the method very straightforward, but also can be used without the common computational complexities observed in known analytical methods. In addition, during the use of the method, an analytical solution is obtained in terms of familiar elementary functions, which will make their use in practical applications very convenient. On the other hand, the utilized methodology empowers us to handle other types of well-known models. All numerical results and simulations in this article have been obtained using computational packages in Wolfram Mathematica.Yan CaoHayder A. DhahadFahd JaradKamal SharmaAli A. RajhiA.S. El-ShafayShima RashidiShahram RezapourS.A. NajatiAyman A. AlyAbdulaziz H. AlghtaniMuhammad Bilal RiazElsevierarticleUnstable nonlinear Schrödinger equationTraveling wave solutionsOptical fibersNonlinear algebraic systemPhysicsQC1-999ENResults in Physics, Vol 31, Iss , Pp 105036- (2021)
institution	DOAJ
collection	DOAJ
language	EN
topic	Unstable nonlinear Schrödinger equation Traveling wave solutions Optical fibers Nonlinear algebraic system Physics QC1-999
spellingShingle	Unstable nonlinear Schrödinger equation Traveling wave solutions Optical fibers Nonlinear algebraic system Physics QC1-999 Yan Cao Hayder A. Dhahad Fahd Jarad Kamal Sharma Ali A. Rajhi A.S. El-Shafay Shima Rashidi Shahram Rezapour S.A. Najati Ayman A. Aly Abdulaziz H. Alghtani Muhammad Bilal Riaz Extracting novel categories of analytical wave solutions to a nonlinear Schrödinger equation of unstable type
description	Solving partial differential equations has always been one of the significant tools in mathematics for modeling applied phenomena. In this paper, using an efficient analytical technique, exact solutions for the unstable Schrödinger equation are constructed. This type of the Schrödinger equation describes the disturbance of time period in slightly stable and unstable media and manages the instabilities of lossless symmetric two stream plasma and two layer baroclinic. The basis of this method is the generalization of some commonly used methods in the literature. To better demonstrate the results, we perform many numerical simulations corresponding to the solutions. All these solutions are new achievements for this form of the equation that have not been acquired in previous research. As one of the strengths of the article, it can be pointed out that not only is the method very straightforward, but also can be used without the common computational complexities observed in known analytical methods. In addition, during the use of the method, an analytical solution is obtained in terms of familiar elementary functions, which will make their use in practical applications very convenient. On the other hand, the utilized methodology empowers us to handle other types of well-known models. All numerical results and simulations in this article have been obtained using computational packages in Wolfram Mathematica.
format	article
author	Yan Cao Hayder A. Dhahad Fahd Jarad Kamal Sharma Ali A. Rajhi A.S. El-Shafay Shima Rashidi Shahram Rezapour S.A. Najati Ayman A. Aly Abdulaziz H. Alghtani Muhammad Bilal Riaz
author_facet	Yan Cao Hayder A. Dhahad Fahd Jarad Kamal Sharma Ali A. Rajhi A.S. El-Shafay Shima Rashidi Shahram Rezapour S.A. Najati Ayman A. Aly Abdulaziz H. Alghtani Muhammad Bilal Riaz
author_sort	Yan Cao
title	Extracting novel categories of analytical wave solutions to a nonlinear Schrödinger equation of unstable type
title_short	Extracting novel categories of analytical wave solutions to a nonlinear Schrödinger equation of unstable type
title_full	Extracting novel categories of analytical wave solutions to a nonlinear Schrödinger equation of unstable type
title_fullStr	Extracting novel categories of analytical wave solutions to a nonlinear Schrödinger equation of unstable type
title_full_unstemmed	Extracting novel categories of analytical wave solutions to a nonlinear Schrödinger equation of unstable type
title_sort	extracting novel categories of analytical wave solutions to a nonlinear schrödinger equation of unstable type
publisher	Elsevier
publishDate	2021
url	https://doaj.org/article/03d6503a4074494d90dd2b01d85ed918
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Extracting novel categories of analytical wave solutions to a nonlinear Schrödinger equation of unstable type

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