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Lie symmetry analysis, exact solutions and conservation laws for the time fractional modified Zakharov-Kuznetsov equation

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dc.contributor.author Baleanu, Dumitru
dc.contributor.author İnç, Mustafa
dc.contributor.author Yusuf, Abdullahi
dc.contributor.author Aliyu, Aliyu Isa
dc.date.accessioned 2019-12-18T12:03:23Z
dc.date.available 2019-12-18T12:03:23Z
dc.date.issued 2017
dc.identifier.citation Baleanu, Dumitru...et al. (2017). Lie symmetry analysis, exact solutions and conservation laws for the time fractional modified Zakharov-Kuznetsov equation, Nonlinear Analysis-Modelling And Control, 22(6), 861-876 tr_TR
dc.identifier.issn 1392-5113
dc.identifier.uri http://hdl.handle.net/20.500.12416/2178
dc.description.abstract In this work, Lie symmetry analysis (LSA) for the time fractional modified Zakharov-Kuznetsov (mZK) equation with Riemann-Liouville (RL) derivative is analyzed. We transform the time fractional mZK equation to nonlinear ordinary differential equation (ODE) of fractional order using its point symmetries with a new dependent variable. In the reduced equation, the derivative is in Erdelyi-Kober (EK) sense. We obtained exact traveling wave solutions by using fractional D(xi)(alpha)G/G-expansion method. Using Ibragimov's nonlocal conservation method to time fractional nonlinear partial differential equations (FNPDEs), we compute conservation laws (CLs) for the mZK equation. tr_TR
dc.language.iso eng tr_TR
dc.publisher Inst Mathematics & Informatics tr_TR
dc.relation.isversionof 10.15388/NA.2017.6.9 tr_TR
dc.rights info:eu-repo/semantics/openAccess tr_TR
dc.subject Modified Zakharov-Kuznetsov Equation tr_TR
dc.subject Lie Symmetry tr_TR
dc.subject Riemann-Liouville Fractional Derivative tr_TR
dc.subject Exact Solutions tr_TR
dc.subject Conservation Laws tr_TR
dc.title Lie symmetry analysis, exact solutions and conservation laws for the time fractional modified Zakharov-Kuznetsov equation tr_TR
dc.type article tr_TR
dc.relation.journal Nonlinear Analysis-Modelling And Control tr_TR
dc.contributor.authorID 56389 tr_TR
dc.identifier.volume 22 tr_TR
dc.identifier.issue 6 tr_TR
dc.identifier.startpage 861 tr_TR
dc.identifier.endpage 876 tr_TR
dc.contributor.department Çankaya Üniversitesi, Fen - Edebiyat Fakültesi, Matematik - Bilgisayar Bölümü tr_TR


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