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

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dc.contributor.author Uddin, M.F.
dc.contributor.author Hafez, M.G.
dc.contributor.author Hammouch, Z.
dc.contributor.author Rezazadeh, H.
dc.contributor.author Baleanu, Dumitru
dc.date.accessioned 2023-02-09T12:05:59Z
dc.date.available 2023-02-09T12:05:59Z
dc.date.issued 2021-02
dc.identifier.citation Uddin, 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. tr_TR
dc.identifier.issn 1110-0168
dc.identifier.uri http://hdl.handle.net/20.500.12416/6179
dc.description.abstract This 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. tr_TR
dc.language.iso eng tr_TR
dc.relation.isversionof 10.1016/j.aej.2020.10.030 tr_TR
dc.rights info:eu-repo/semantics/openAccess tr_TR
dc.subject Fractional Beta Derivative Evolution tr_TR
dc.subject Nonlinear Directional Couplers With Metamaterials tr_TR
dc.subject The Auxiliary Ordinary Differential Equation Method tr_TR
dc.subject The Generalized Riccati Method tr_TR
dc.subject Traveling Wave Solutions tr_TR
dc.title Traveling wave with beta derivative spatial-temporal evolution for describing the nonlinear directional couplers with metamaterials via two distinct methods tr_TR
dc.type article tr_TR
dc.relation.journal Alexandria Engineering Journal tr_TR
dc.contributor.authorID 56389 tr_TR
dc.identifier.volume 60 tr_TR
dc.identifier.issue 1 tr_TR
dc.identifier.startpage 1055 tr_TR
dc.identifier.endpage 1065 tr_TR
dc.contributor.department Çankaya Üniversitesi, Fen - Edebiyat Fakültesi, Matematik Bölümü tr_TR


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