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Symmetry reduction, conservation laws and acoustic wave solutions for the extended Zakharov–Kuznetsov dynamical model arising in a dust plasma

dc.contributor.authorWael, Shrouk
dc.contributor.authorSeadawy, Aly R.
dc.contributor.authorEL-Kalaawy, O.H.
dc.contributor.authorMaowad, S.M.
dc.contributor.authorBaleanu, Dumitru
dc.contributor.authorID56389tr_TR
dc.date.accessioned2023-01-19T12:49:07Z
dc.date.available2023-01-19T12:49:07Z
dc.date.issued2020
dc.departmentÇankaya Üniversitesi, Fen - Edebiyat Fakültesi, Matematik Bölümüen_US
dc.description.abstractIn this article, we consider the extended Zakharov–Kuznetsov (EZK) equation, which describes the nonlinear plasma dust acoustic waves (DAWs) in a magnetized dusty plasma. Dusty plasmas consist of three components: electrons, highly negatively charged dust grains, and two-temperature ions (low-temperature ions and high-temperature ions). We study the Lie symmetries, reductions, conservation laws and new exact solutions of EZK equations. Conservation laws for EZK equation is derived by applying the new conservation theorem of Ibragimov. Similarity solution for EZK equation will be obtained using Lie symmetry method. We find the Lie symmetries group of EZK equation, using similarity variables, get reduction equation, solving the reduction equations and then get the similarity solution. Solitary wave solutions of the EZK equation are derived from the reduction equation. Thus, some new exact explicit solutions of the EZK equation are obtained.en_US
dc.description.publishedMonth12
dc.identifier.citationWael, Shrouk...et al. (2020). "Symmetry reduction, conservation laws and acoustic wave solutions for the extended Zakharov–Kuznetsov dynamical model arising in a dust plasma", Results in Physics, Vol. 19.en_US
dc.identifier.doi10.1016/j.rinp.2020.103652
dc.identifier.issn2211-3797
dc.identifier.urihttp://hdl.handle.net/20.500.12416/6089
dc.identifier.volume19en_US
dc.language.isoenen_US
dc.relation.ispartofResults in Physicsen_US
dc.rightsinfo:eu-repo/semantics/openAccessen_US
dc.subjectConservation Lawsen_US
dc.subjectDust Plasmaen_US
dc.subjectExtended Zakharov–Kuznetsov Equationen_US
dc.subjectLie Point Symmetriesen_US
dc.subjectSimilarity Reductionen_US
dc.titleSymmetry reduction, conservation laws and acoustic wave solutions for the extended Zakharov–Kuznetsov dynamical model arising in a dust plasmatr_TR
dc.titleSymmetry Reduction, Conservation Laws and Acoustic Wave Solutions for the Extended Zakharov–kuznetsov Dynamical Model Arising in a Dust Plasmaen_US
dc.typeArticleen_US
dspace.entity.typePublication

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