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

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dc.contributor.author Wael, Shrouk
dc.contributor.author Seadawy, Aly R.
dc.contributor.author EL-Kalaawy, O.H.
dc.contributor.author Maowad, S.M.
dc.contributor.author Baleanu, Dumitru
dc.date.accessioned 2023-01-19T12:49:07Z
dc.date.available 2023-01-19T12:49:07Z
dc.date.issued 2020-12
dc.identifier.citation Wael, 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. tr_TR
dc.identifier.issn 2211-3797
dc.identifier.uri http://hdl.handle.net/20.500.12416/6089
dc.description.abstract In 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. tr_TR
dc.language.iso eng tr_TR
dc.relation.isversionof 10.1016/j.rinp.2020.103652 tr_TR
dc.rights info:eu-repo/semantics/openAccess tr_TR
dc.subject Conservation Laws tr_TR
dc.subject Dust Plasma tr_TR
dc.subject Extended Zakharov–Kuznetsov Equation tr_TR
dc.subject Lie Point Symmetries tr_TR
dc.subject Similarity Reduction tr_TR
dc.title Symmetry reduction, conservation laws and acoustic wave solutions for the extended Zakharov–Kuznetsov dynamical model arising in a dust plasma tr_TR
dc.type article tr_TR
dc.relation.journal Results in Physics tr_TR
dc.contributor.authorID 56389 tr_TR
dc.identifier.volume 19 tr_TR
dc.contributor.department Çankaya Üniversitesi, Fen - Edebiyat Fakültesi, Matematik Bölümü tr_TR


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