%0 Journal Article
%T Lie Symmetry Analysis and Explicit Solutions of the Time Fractional Fifth-Order KdV Equation
%A Gang wei Wang
%A Tian zhou Xu
%A Tao Feng
%J PLOS ONE
%D 2014
%I Public Library of Science (PLoS)
%R 10.1371/journal.pone.0088336
%X 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.
%U http://www.plosone.org/article/info%3Adoi%2F10.1371%2Fjournal.pone.0088336