Functional Variable Method for conformable fractional modified KdV-ZK equation and Maccari system

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dc.contributor.authorCenesiz, Yucel
dc.contributor.authorTasbozan, Orkun
dc.contributor.authorKurt, Ali
dc.date.accessioned2020-03-26T19:41:47Z
dc.date.available2020-03-26T19:41:47Z
dc.date.issued2017
dc.departmentSelçuk Üniversitesien_US
dc.description.abstractModeling the motion and propagation characteristics of waves have importance in coastal, ocean and maritime engineering. Especially, waves are the major source of environmental actions on beaches or on man-made fixed or floating structures in most, geographical areas. So Maccari system has great application in mentioned areas. The modified KdV is ion acoustic perturbations evolution model in a plasma with two negative ion components which have different temperatures. As for the KdV equation, the modified ZK (mZK) equation arises naturally as weakly two-dimensional variations of the mKdV equation. hi this paper authors used functional variable method(FVM) for the first time to obtain exact travelling wave and soliton solutions of conformable fractional modified KdV-Zakharov-Kuznetsov(mKdv-ZK) equation and Maccari system. As a consequence, new solutions are obtained and it is seen that FVM is an valuable and efficient tool for solving nonlinear equations and systems where the derivatives defined by means of conformable fractional derivative.en_US
dc.identifier.doi10.1515/tmj-2017-0010en_US
dc.identifier.endpage125en_US
dc.identifier.issn1875-158Xen_US
dc.identifier.issn1512-0139en_US
dc.identifier.issue1en_US
dc.identifier.pmid#YOKen_US
dc.identifier.startpage117en_US
dc.identifier.urihttps://dx.doi.org/10.1515/tmj-2017-0010
dc.identifier.urihttps://hdl.handle.net/20.500.12395/35145
dc.identifier.volume10en_US
dc.identifier.wosWOS:000402634000008en_US
dc.identifier.wosqualityN/Aen_US
dc.indekslendigikaynakWeb of Scienceen_US
dc.language.isoenen_US
dc.publisherTBILISI CENTRE MATH SCIen_US
dc.relation.ispartofTBILISI MATHEMATICAL JOURNALen_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanıen_US
dc.rightsinfo:eu-repo/semantics/closedAccessen_US
dc.selcuk20240510_oaigen_US
dc.subjectFunctional Variable Methoden_US
dc.subjectKdV-Zakharov-Kuznetsov Equationen_US
dc.subjectMaccari Systemen_US
dc.subjectConformable Fractional Derivativeen_US
dc.titleFunctional Variable Method for conformable fractional modified KdV-ZK equation and Maccari systemen_US
dc.typeArticleen_US

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