Extraction of soliton for the confirmable time-fractional nonlinear Sobolev-type equations in semiconductor by 06-modal expansion method

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dc.authoridAli, Syed Mansoor/0000-0003-1416-640X
dc.contributor.authorShahzad, Tahir
dc.contributor.authorAhmad, Muhammad Ozair
dc.contributor.authorBaber, Muhammad Zafarullah
dc.contributor.authorAhmed, Nauman
dc.contributor.authorAli, Syed Mansoor
dc.contributor.authorAkguel, Ali
dc.contributor.authorShar, Muhammad Ali
dc.date.accessioned2024-12-24T19:27:42Z
dc.date.available2024-12-24T19:27:42Z
dc.date.issued2023
dc.departmentSiirt Üniversitesi
dc.description.abstractThe current study deals with the exact solutions of nonlinear confirmable time fractional Sobolev type equations. Such equations have applications in thermodynamics, the flow of fluid through fractured rock. The underlying models are 2D equation of a semi-conductor with heating and Sobolev equation in 2D unbounded domain. These equation are used to describe the different aspects in semi-conductor. The analytical solutions of underlying models is not addressed yet or it is difficult to find. We gain the exact solutions of such models with help of analytical technique namely 06-model expansion method. The abundant families of solutions are obtained by the Jacobi elliptic function and it will give us soliton and solitary wave solutions. So, we extract the different types of solutions such as, dark, bright, singular, combine, periodic and mixed periodic. The unique physical problems are selected from a variety of the solutions that will help the reader for the verification and data experiment. The graphical behavior of the underlying models is represented in the form of 3D, line graphs and their corresponding contours for the various values of the parameters.
dc.description.sponsorshipResearcher supporting program at King Saud University, Riyadh, Saudi Arabia [RSPD2023R699]
dc.description.sponsorshipThe authors would like to extend their sincere appreciation to the Researcher supporting program at King Saud University, Riyadh, Saudi Arabia, for funding this work under project number (RSPD2023R699). All authors approved the final version of the manuscript.
dc.identifier.doi10.1016/j.rinp.2023.106299
dc.identifier.issn2211-3797
dc.identifier.scopus2-s2.0-85149420861
dc.identifier.scopusqualityQ1
dc.identifier.urihttps://doi.org/10.1016/j.rinp.2023.106299
dc.identifier.urihttps://hdl.handle.net/20.500.12604/6738
dc.identifier.volume46
dc.identifier.wosWOS:000949776900001
dc.identifier.wosqualityQ1
dc.indekslendigikaynakWeb of Science
dc.indekslendigikaynakScopus
dc.language.isoen
dc.publisherElsevier
dc.relation.ispartofResults in Physics
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı
dc.rightsinfo:eu-repo/semantics/openAccess
dc.snmzKA_20241222
dc.subjectSobolev-type equations
dc.subjectHigher dimensional semiconductor
dc.subjectHigher dimensional unbounded
dc.subject06-model expansion method
dc.subjectUnique physical problems
dc.titleExtraction of soliton for the confirmable time-fractional nonlinear Sobolev-type equations in semiconductor by 06-modal expansion method
dc.typeArticle

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