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

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dc.contributor.author Cao, Yan
dc.contributor.author Dhahad, Hayder A.
dc.contributor.author Jarad, Fahd
dc.contributor.author Sharma, Kamal
dc.contributor.author Rajhi, Ali A.
dc.contributor.author El-Shafay, A.S.
dc.contributor.author Rashidi, Shima
dc.contributor.author Rezapour, Shahram
dc.contributor.author Najati, S.A.
dc.contributor.author Aly, Ayman A
dc.contributor.author Alghtani, Abdulaziz H.
dc.contributor.author Riaz, Muhammad Bilal
dc.date.accessioned 2022-04-22T12:51:08Z
dc.date.available 2022-04-22T12:51:08Z
dc.date.issued 2021-12
dc.identifier.citation Cao, Yan...et al. (2021). "Extracting novel categories of analytical wave solutions to a nonlinear Schrödinger equation of unstable type", Results in Physics, Vol. 31. tr_TR
dc.identifier.issn 2211-3797
dc.identifier.uri http://hdl.handle.net/20.500.12416/5435
dc.description.abstract 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. © 2021 The Authors tr_TR
dc.language.iso eng tr_TR
dc.relation.isversionof 10.1016/j.rinp.2021.105036 tr_TR
dc.rights info:eu-repo/semantics/openAccess tr_TR
dc.subject Nonlinear Algebraic System tr_TR
dc.subject Optical Fibers tr_TR
dc.subject Traveling Wave Solutions tr_TR
dc.subject Unstable Nonlinear Schrödinger Equation tr_TR
dc.title Extracting novel categories of analytical wave solutions to a nonlinear Schrödinger equation of unstable type tr_TR
dc.type article tr_TR
dc.relation.journal Results in Physics tr_TR
dc.contributor.authorID 234808 tr_TR
dc.identifier.volume 31 tr_TR
dc.contributor.department Çankaya Üniversitesi, Fen - Edebiyat Fakültesi, Matematik Bölümü tr_TR


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