Lie symmetry analysis to generalized fifth-order time-fractional KdV equation. (English) Zbl 1331.35025
Summary: In present paper, the generalized fifth-order time-fractional Korteweg-de Vries (KdV) equation and the particular time-fractional Kaup-Kupershmidt equation are considered, a systematic investigation to derive Lie point symmetries of the equations are presented and compared. Each of them has been transformed into a nonlinear ordinary differential equation with a new independent variable are investigated. The derivative corresponding to time-fractional in the reduced formula is known as the Erdélyi-Kober fractional derivative.
MSC:
35B06 | Symmetries, invariants, etc. in context of PDEs |
35R11 | Fractional partial differential equations |
26A33 | Fractional derivatives and integrals |
35K55 | Nonlinear parabolic equations |