Lie Symmetry Analysis, Exact Solutions and Conservation Laws for the Time Fractional Modified Zakharov-Kuznetsov Equation
| dc.contributor.author | Inc, Mustafa | |
| dc.contributor.author | Yusuf, Abdullahi | |
| dc.contributor.author | Aliyu, Aliyu Isa | |
| dc.contributor.author | Baleanu, Dumitru | |
| dc.date.accessioned | 2019-12-18T12:03:23Z | |
| dc.date.accessioned | 2025-09-18T13:26:40Z | |
| dc.date.available | 2019-12-18T12:03:23Z | |
| dc.date.available | 2025-09-18T13:26:40Z | |
| dc.date.issued | 2017 | |
| dc.description | Yusuf, Abdullahi/0000-0002-8308-7943; Isa Aliyu, Aliyu/0000-0002-9756-7374 | en_US |
| 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. | en_US |
| 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 | en_US |
| dc.identifier.doi | 10.15388/NA.2017.6.9 | |
| dc.identifier.issn | 1392-5113 | |
| dc.identifier.issn | 2335-8963 | |
| dc.identifier.scopus | 2-s2.0-85034222383 | |
| dc.identifier.uri | https://doi.org/10.15388/NA.2017.6.9 | |
| dc.identifier.uri | https://hdl.handle.net/20.500.12416/12661 | |
| dc.language.iso | en | en_US |
| dc.publisher | inst Mathematics & informatics | en_US |
| dc.relation.ispartof | Nonlinear Analysis: Modelling and Control | |
| dc.rights | info:eu-repo/semantics/openAccess | en_US |
| dc.subject | Modified Zakharov-Kuznetsov Equation | en_US |
| dc.subject | Lie Symmetry | en_US |
| dc.subject | Riemann-Liouville Fractional Derivative | en_US |
| dc.subject | Exact Solutions | en_US |
| dc.subject | Conservation Laws | en_US |
| dc.title | Lie Symmetry Analysis, Exact Solutions and Conservation Laws for the Time Fractional Modified Zakharov-Kuznetsov Equation | en_US |
| dc.title | Lie symmetry analysis, exact solutions and conservation laws for the time fractional modified Zakharov-Kuznetsov equation | tr_TR |
| dc.type | Article | en_US |
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| gdc.author.id | Yusuf, Abdullahi/0000-0002-8308-7943 | |
| gdc.author.id | Isa Aliyu, Aliyu/0000-0002-9756-7374 | |
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| gdc.author.wosid | Baleanu, Dumitru/B-9936-2012 | |
| gdc.author.wosid | Inc, Mustafa/C-4307-2018 | |
| gdc.author.wosid | Yusuf, Abdullahi/L-9956-2018 | |
| gdc.author.wosid | Isa Aliyu, Aliyu/L-3765-2017 | |
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| gdc.description.department | Çankaya University | en_US |
| gdc.description.departmenttemp | [Baleanu, Dumitru] Cankaya Univ, Dept Math, Ogretmenler Cad, TR-1406530 Ankara, Turkey; [Baleanu, Dumitru] Inst Space Sci, Bucharest, Romania; [Inc, Mustafa; Yusuf, Abdullahi; Aliyu, Aliyu Isa] Firat Univ, Sci Fac, TR-23119 Elazig, Turkey; [Yusuf, Abdullahi; Aliyu, Aliyu Isa] Fed Univ Dutse, Sci Fac, Jigawa 7156, Nigeria | en_US |
| gdc.description.endpage | 876 | en_US |
| gdc.description.issue | 6 | en_US |
| gdc.description.publicationcategory | Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı | en_US |
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| gdc.description.startpage | 861 | en_US |
| gdc.description.volume | 22 | en_US |
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| gdc.oaire.keywords | Lie symmetry | |
| gdc.oaire.keywords | QA299.6-433 | |
| gdc.oaire.keywords | modified Zakharov–Kuznetsov equation | |
| gdc.oaire.keywords | exact solutions | |
| gdc.oaire.keywords | conservation laws | |
| gdc.oaire.keywords | Riemann–Liouville fractional derivative | |
| gdc.oaire.keywords | Analysis | |
| gdc.oaire.keywords | Riemann-Liouville fractional derivative | |
| gdc.oaire.keywords | Fractional partial differential equations | |
| gdc.oaire.keywords | Symmetries, invariants, etc. in context of PDEs | |
| gdc.oaire.keywords | Solutions to PDEs in closed form | |
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