Lie symmetry analysis and exact solutions of generalized fractional Zakharov-Kuznetsov equations. (English) Zbl 1425.35216
Summary: This paper considers the Lie symmetry analysis of a class of fractional Zakharov-Kuznetsov equations. We systematically show the procedure to obtain the Lie point symmetries for the equation. Accordingly, we study the vector fields of this equation. Meantime, the symmetry reductions of this equation are performed. Finally, by employing the obtained symmetry properties, we can get some new exact solutions to this fractional Zakharov-Kuznetsov equation.
MSC:
| 35R11 | Fractional partial differential equations |
| 35A30 | Geometric theory, characteristics, transformations in context of PDEs |
| 35Q53 | KdV equations (Korteweg-de Vries equations) |
| 35B06 | Symmetries, invariants, etc. in context of PDEs |
| 35C05 | Solutions to PDEs in closed form |
Keywords:
Lie symmetry analysis; fractional Zakharov-Kuznetsov equation; symmetry groups; exact solutionsReferences:
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