Exact Solutions and Conservation Laws of the Bogoyavlenskii Equation |
| M. Inca, M.S. Hashemib, A. Isa Aliyua
aDepartment of Applied Mathematics, Firat University Turkey, 23119 Elazig, Turkey bDepartment of Mathematics, Basic Science Faculty, University of Bonab, Bonab 55517, Iran |
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| In this paper, the Lie symmetry analysis method is performed for a Bogoyavlenskii equation. The symmetries and exact invariant solutions for the equation are retrieved for the first time. The conservation laws of the Bogoyavlenskii equation are constructed using the conservation laws theorem introduced by Ibragimov. |
DOI:10.12693/APhysPolA.133.1133 PACS numbers: 02.30.Ik, 02.30.Jr, 47.35.Fg |