Symmetry reduction, conservation laws and acoustic wave solutions for the extended Zakharov–Kuznetsov dynamical model arising in a dust plasma
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.contributor.authorID | 56389 | tr_TR |
dc.date.accessioned | 2023-01-19T12:49:07Z | |
dc.date.available | 2023-01-19T12:49:07Z | |
dc.date.issued | 2020 | |
dc.department | Çankaya Üniversitesi, Fen - Edebiyat Fakültesi, Matematik Bölümü | en_US |
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. | en_US |
dc.description.publishedMonth | 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. | en_US |
dc.identifier.doi | 10.1016/j.rinp.2020.103652 | |
dc.identifier.issn | 2211-3797 | |
dc.identifier.uri | http://hdl.handle.net/20.500.12416/6089 | |
dc.identifier.volume | 19 | en_US |
dc.language.iso | en | en_US |
dc.relation.ispartof | Results in Physics | en_US |
dc.rights | info:eu-repo/semantics/openAccess | en_US |
dc.subject | Conservation Laws | en_US |
dc.subject | Dust Plasma | en_US |
dc.subject | Extended Zakharov–Kuznetsov Equation | en_US |
dc.subject | Lie Point Symmetries | en_US |
dc.subject | Similarity Reduction | en_US |
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.title | Symmetry Reduction, Conservation Laws and Acoustic Wave Solutions for the Extended Zakharov–kuznetsov Dynamical Model Arising in a Dust Plasma | en_US |
dc.type | Article | en_US |
dspace.entity.type | Publication |