New solutions of fractional Drinfeld-Sokolov-Wilson system in shallow water waves

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dc.contributor.authorTasbozan, Orkun
dc.contributor.authorSenol, Mehmet
dc.contributor.authorKurt, Ali
dc.contributor.authorOzkan, Ozan
dc.date.accessioned2020-03-26T19:54:49Z
dc.date.available2020-03-26T19:54:49Z
dc.date.issued2018
dc.departmentSelçuk Üniversitesien_US
dc.description.abstractIn this paper, we present new exact solution sets of nonlinear conformable time-fractional coupled Drinfeld-Sokolov-Wilson equation which arise in shallow water flow models, when special assumptions are used to simplify the shallow water equations by means of Sine-Gordon expansion method. We also present an analytical approximate method namely perturbation-iteration algorithm (PIA) for the system. Basic definitions of fractional derivatives are described in the conformable sense. An example is given and the results are compared to exact solutions. The results show that the presented methods are powerful, reliable, simple to use and ready to apply to wide range of fractional partial differential equations.en_US
dc.identifier.doi10.1016/j.oceaneng.2018.04.075en_US
dc.identifier.endpage68en_US
dc.identifier.issn0029-8018en_US
dc.identifier.scopusqualityQ1en_US
dc.identifier.startpage62en_US
dc.identifier.urihttps://dx.doi.org/10.1016/j.oceaneng.2018.04.075
dc.identifier.urihttps://hdl.handle.net/20.500.12395/36802
dc.identifier.volume161en_US
dc.identifier.wosWOS:000437819800005en_US
dc.identifier.wosqualityQ1en_US
dc.indekslendigikaynakWeb of Scienceen_US
dc.indekslendigikaynakScopusen_US
dc.language.isoenen_US
dc.publisherPERGAMON-ELSEVIER SCIENCE LTDen_US
dc.relation.ispartofOCEAN ENGINEERINGen_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/closedAccessen_US
dc.selcuk20240510_oaigen_US
dc.subjectFractional Drinfeld-Sokolov-Wilson systemen_US
dc.subjectShallow water wavesen_US
dc.subjectConformable fractional derivativeen_US
dc.subjectPerturbation iteration algorithmen_US
dc.subjectSine -Gordon expansion methoden_US
dc.titleNew solutions of fractional Drinfeld-Sokolov-Wilson system in shallow water wavesen_US
dc.typeArticleen_US

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