Exact fractional soliton solutions of thin-film ferroelectric material equation by analytical approaches

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dc.authoridBakar, Muhammad Abu/0000-0003-3903-098X
dc.authoridAli Faridi, Waqas/0000-0003-0713-5365
dc.contributor.authorFaridi, Waqas Ali
dc.contributor.authorAbu Bakar, Muhammad
dc.contributor.authorAkgul, Ali
dc.contributor.authorAbd El-Rahman, Magda
dc.contributor.authorDin, Sayed M. El
dc.date.accessioned2024-12-24T19:25:18Z
dc.date.available2024-12-24T19:25:18Z
dc.date.issued2023
dc.departmentSiirt Üniversitesi
dc.description.abstractIn this paper, the main motive is to mathematical explore the thin-film ferroelectric material partial differential equation which addresses the Ferroelectrics, that are being examined as key materials for applications in piezoelectric, pyroelectric electrostrictive, linear, and nonlinear optical systems. Thin ferroelectric films are used in a variety of modern electrical devices because they are both nonlinear ferroelectric and dielectric materials. This article appropriates the fractional travelling wave transformation allowing the partial differential equation to be changed into an ordinary differential equation. The considered fractional model is explored through employing the combo of ??????& PRIME; ??????2-expansion method and new extended direct algebraic methodology. As an outcome, numerous types of soliton solutions like, Periodic pattern with anti-peaked crests and anti-troughs, singular solution, mixed complex solitary shock solution, mixed singular solution, mixed shock singular solution, mixed trigonometric solution, mixed periodic, periodic solution and mixed hyperbolic solution obtain via Mathematica. In addition, the ??????& PRIME; ??????2-expansion technique produces singular, trigonometric, and hyperbolic solutions with different soliton families. The revealed solution will improve the mathematical analysis of this model and the associated physical phenomenon's. In order to visualize the graphical propagation of the obtained fractional soliton solutions, 3D, 2D, and contour graphics are generated by choosing appropriate parametric values. The impact of fractional parameter ?????? is also graphically displayed on the propagation of solitons.
dc.description.sponsorshipDeanship of Scientific Research at King Khalid University; [RGP2/69/44]
dc.description.sponsorshipMagda Abd El-Rahman extends their appreciation to the Deanship of Scientific Research at King Khalid University for funding this work through the large group Research Project under grant number RGP2/69/44.
dc.identifier.doi10.1016/j.aej.2023.07.049
dc.identifier.endpage497
dc.identifier.issn1110-0168
dc.identifier.issn2090-2670
dc.identifier.scopus2-s2.0-85171346592
dc.identifier.scopusqualityQ1
dc.identifier.startpage483
dc.identifier.urihttps://doi.org/10.1016/j.aej.2023.07.049
dc.identifier.urihttps://hdl.handle.net/20.500.12604/6336
dc.identifier.volume78
dc.identifier.wosWOS:001052771100001
dc.identifier.wosqualityQ1
dc.indekslendigikaynakWeb of Science
dc.indekslendigikaynakScopus
dc.language.isoen
dc.publisherElsevier
dc.relation.ispartofAlexandria Engineering Journal
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı
dc.rightsinfo:eu-repo/semantics/openAccess
dc.snmzKA_20241222
dc.subjectThin-film ferroelectric material equation
dc.subject(TFFEME)
dc.subjectSoliton solutions
dc.subjectNew direct extended algebraic method
dc.subject(NDEAM)
dc.titleExact fractional soliton solutions of thin-film ferroelectric material equation by analytical approaches
dc.typeArticle

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