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DYNAMICS OF INTEGER-FRACTIONAL TIME-DERIVATIVE FOR THE NEW TWO-MODE KURAMOTO-SIVASHINSKY MODEL

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dc.contributor.authorAli, Mohammed
dc.contributor.authorAlquran, Marwan
dc.contributor.authorJaradat, Imad
dc.contributor.authorAbu Afouna, Nour
dc.contributor.authorBaleanu, Dumitru
dc.contributor.authorID56389tr_TR
dc.date.accessioned2021-02-10T11:57:16Z
dc.date.available2021-02-10T11:57:16Z
dc.date.issued2020
dc.departmentÇankaya Üniversitesi, Fen Edebiyat Fakültesi, Matematik Bölümüen_US
dc.description.abstractIn this paper, we investigate the dynamics of a nonlinear model responsible for the transition of turbulence phenomena and cellular instabilities to a chaos. The two-mode Kuramoto-Sivashinsky (TMKS) model is an example of such application. We study both integer and fractional time-derivative involved in this model. Solitary wave solutions and approximate analytical solutions will be derived to TMKS model by means of well-posed different techniques. The mechanism of the concepts of two-mode and time-fractional derivative will be discussed in this work. Finally, both 2-dimensional and 3-dimensional plots will be provided to support our findings.en_US
dc.identifier.citationAli, Mohammed ...et al. (2020). "DYNAMICS OF INTEGER-FRACTIONAL TIME-DERIVATIVE FOR THE NEW TWO-MODE KURAMOTO-SIVASHINSKY MODEL", Romanian Reports in Physics, Vol. 72, No. 1.en_US
dc.identifier.issn1221-1451
dc.identifier.issn1841-8759
dc.identifier.issue1en_US
dc.identifier.urihttp://hdl.handle.net/20.500.12416/4578
dc.identifier.volume72en_US
dc.language.isoenen_US
dc.relation.ispartofRomanian Reports in Physicsen_US
dc.rightsinfo:eu-repo/semantics/closedAccessen_US
dc.subjectTwo-Mode Kuramoto-Sivashinsky (TMKS) Modelen_US
dc.subjectKudryashov-Expansion Methoden_US
dc.subjectTime-Fractional TMKSen_US
dc.subjectMaclaurin Seriesen_US
dc.titleDYNAMICS OF INTEGER-FRACTIONAL TIME-DERIVATIVE FOR THE NEW TWO-MODE KURAMOTO-SIVASHINSKY MODELtr_TR
dc.titleDynamics of Integer-Fractional Time-Derivative for the New Two-Mode Kuramoto-Sivashinsky Modelen_US
dc.typeArticleen_US
dspace.entity.typePublication

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