Lie Symmetry Analysis and Exact Solutions of General Time Fractional Fifth-order Korteweg-de Vries Equation
نویسنده
چکیده
In this paper, using the Lie group analysis method, we study the invariance properties of the general time fractional fifth-order Korteweg-de Vries (KdV) equation. A systematic research to derive Lie point symmetries of the equation is performed. In the sense of point symmetry, all of the geometric vector fields and the symmetry reductions of the equation are obtained, the exact power series solution of equation is constructed, and the convergence of the obtained solution is showed. The derivative corresponding to time fractional in the reduced formula is known as the Erdélyi-Kober fractional derivative.
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