title: Lie symmetry analysis and explicit solutions of the time fractional fifth-order KdV equation.
abstract: In this paper, using the Lie group analysis method, we study the invariance properties of the time fractional fifth-order KdV equation. A systematic research to derive Lie point symmetries to time fractional fifth-order KdV equation is performed. In the sense of point symmetry, all of the vector fields and the symmetry reductions of the fractional fifth-order KdV equation are obtained. At last, by virtue of the sub-equation method, some exact solutions to the fractional fifth-order KdV equation are provided.
authors: School of Mathematics and Statistics, Beijing Institute of Technology, Beijing, PR China.
authors: Gang Wei
authors: GW
authors: Wang
authors: School of Mathematics and Statistics, Beijing Institute of Technology, Beijing, PR China.
authors: Tian Zhou
authors: TZ
authors: Xu
authors: School of Electrical Engineering, Yanshan University, Qinhuangdao, PR China.
authors: Tao
authors: T
authors: Feng
mesh_terms: D000465:Algorithms; D055641:Mathematical Concepts; D008962:Models, Theoretical; D013997:Time Factors