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Traveling wave with beta derivative spatial-temporal evolution for describing the nonlinear directional couplers with metamaterials via two distinct methods

dc.contributor.authorUddin, M.F.
dc.contributor.authorHafez, M.G.
dc.contributor.authorHammouch, Z.
dc.contributor.authorRezazadeh, H.
dc.contributor.authorBaleanu, Dumitru
dc.contributor.authorID56389tr_TR
dc.date.accessioned2023-02-09T12:05:59Z
dc.date.available2023-02-09T12:05:59Z
dc.date.issued2021
dc.departmentÇankaya Üniversitesi, Fen - Edebiyat Fakültesi, Matematik Bölümüen_US
dc.description.abstractThis work is reported the analytical solutions for describing the nonlinear directional couplers with metamaterials by including spatial–temporal fractional beta derivative evolution. The auxiliary ordinary differential equation method and the generalized Riccati method with the properties of beta derivative are implemented to secure such solutions. The solutions are obtained in the new forms by involving of some useful mathematical functions. The constraint conditions among the traveling wave parameters are evaluated. Some of the obtained solutions are presented graphically to illustrate the effectiveness of beta derivative parameter and mathematical techniques. It is investigated that the amplitudes of soliton are increased with the increase of fractional beta derivative parameter. The obtained results would be very useful to examine and understand the physical issues in nonlinear optics, especially in twin-core couplers with optical metamaterials.en_US
dc.description.publishedMonth2
dc.identifier.citationUddin, M.F...et al. (2021). "Traveling wave with beta derivative spatial-temporal evolution for describing the nonlinear directional couplers with metamaterials via two distinct methods", Alexandria Engineering Journal, Vol. 60, No. 1, pp. 1055-1065.en_US
dc.identifier.doi10.1016/j.aej.2020.10.030
dc.identifier.endpage1065en_US
dc.identifier.issn1110-0168
dc.identifier.issue1en_US
dc.identifier.startpage1055en_US
dc.identifier.urihttp://hdl.handle.net/20.500.12416/6179
dc.identifier.volume60en_US
dc.language.isoenen_US
dc.relation.ispartofAlexandria Engineering Journalen_US
dc.rightsinfo:eu-repo/semantics/openAccessen_US
dc.subjectFractional Beta Derivative Evolutionen_US
dc.subjectNonlinear Directional Couplers With Metamaterialsen_US
dc.subjectThe Auxiliary Ordinary Differential Equation Methoden_US
dc.subjectThe Generalized Riccati Methoden_US
dc.subjectTraveling Wave Solutionsen_US
dc.titleTraveling wave with beta derivative spatial-temporal evolution for describing the nonlinear directional couplers with metamaterials via two distinct methodstr_TR
dc.titleTraveling Wave With Beta Derivative Spatial-Temporal Evolution for Describing the Nonlinear Directional Couplers With Metamaterials Via Two Distinct Methodsen_US
dc.typeArticleen_US
dspace.entity.typePublication

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