M-truncated soliton solutions of the fractional (4+1)-dimensional Fokas equation

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dc.authoridhttps://orcid.org/0000-0003-1649-0625en_US
dc.contributor.authorĂ–zdemir, Neslihan
dc.date.accessioned2023-10-06T17:29:44Z
dc.date.available2023-10-06T17:29:44Z
dc.date.issued2023en_US
dc.departmentMühendislik ve Mimarlık Fakültesien_US
dc.description.abstractThis article aims to examine M-truncated soliton solutions of the fractional (4 + 1)-dimensional Fokas equation (FE), which is a generalization of the Kadomtsev-Petviashvili (KP) and Davey-Stewartson (DS) equations. The fractional (4 + 1)-dimensional Fokas equation with the M-truncated derivative is also studied first time in this study. The generalized projective Riccati equations method (GPREM) is successfully implemented. In the application of the presented method, a suitable fractional wave transformation is chosen to convert the proposed model into a nonlinear ordinary differential equation. Then, a linear equation system is acquired utilizing the GPREM, the system is solved, and the suitable solution sets are obtained. Dark and singular soliton solutions are successfully derived. Under the selection of appropriate values of the parameters, 2D, 3D, and contour plots are also displayed for some solutions.en_US
dc.identifier.doi10.11121/ijocta.2023.1321en_US
dc.identifier.endpage129en_US
dc.identifier.issn2146-0957
dc.identifier.issn2146-5703
dc.identifier.issue1en_US
dc.identifier.scopus2-s2.0-85148654439en_US
dc.identifier.scopusqualityQ3en_US
dc.identifier.startpage123en_US
dc.identifier.trdizinid1155985en_US
dc.identifier.urihttps://hdl.handle.net/11363/5801
dc.identifier.urihttps://search.trdizin.gov.tr/tr/yayin/detay/1155985
dc.identifier.urihttps://doi.org/
dc.identifier.volume13en_US
dc.identifier.wosWOS:000926374400004en_US
dc.identifier.wosqualityQ1en_US
dc.indekslendigikaynakWeb of Scienceen_US
dc.indekslendigikaynakScopusen_US
dc.indekslendigikaynakTR-Dizinen_US
dc.institutionauthorĂ–zdemir, Neslihan
dc.language.isoenen_US
dc.publisherProf. Dr. Ramazan Yamanen_US
dc.relation.ispartofAn International Journal of Optimization and Control: Theories & Applications (IJOCTA)en_US
dc.relation.publicationcategoryMakale - Ulusal Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/openAccessen_US
dc.rightsAttribution-NonCommercial-NoDerivs 3.0 United States*
dc.rights.urihttp://creativecommons.org/licenses/by-nc-nd/3.0/us/*
dc.subject(4+1)-dimensional Fokas equationen_US
dc.subjectM-truncated derivativeen_US
dc.subjectSoliton solutionen_US
dc.titleM-truncated soliton solutions of the fractional (4+1)-dimensional Fokas equationen_US
dc.typeArticleen_US

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