Lie Symmetry Analysis and Explicit Solutions of the Time Fractional Fifth-Order KdV Equation

Gang wei Wang, Tian zhou Xu and Tao Feng

PLOS ONE, 2014, vol. 9, issue 2, 1-6

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.

Date: 2014
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Citations: View citations in EconPapers (3)

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Persistent link: https://EconPapers.repec.org/RePEc:plo:pone00:0088336

DOI: 10.1371/journal.pone.0088336

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