Lie symmetry analysis to the time fractional generalized fifth-order KdV equation. (English) Zbl 1304.35624
Summary: In this paper, using the Lie group analysis method, we study the invariance properties of the time fractional generalized fifth-order KdV equation. It shows that this equation can be reduced to an equation which is related to the Erdélyi-Kober fractional derivative. Of course, this method can also be applied to other nonlinear fractional partial differential equations.
MSC:
| 35Q53 | KdV equations (Korteweg-de Vries equations) |
| 35A30 | Geometric theory, characteristics, transformations in context of PDEs |
| 35R11 | Fractional partial differential equations |
Keywords:
fractional generalized fifth-order KdV equation; Lie symmetry analysis; Erdélyi-Kober operators; modified Riemann-Liouville derivativeSoftware:
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