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Volume 7, Number 4, 2017, Pages 1275-1284                                                                DOI:10.11948/2017078
Symmetry analysis, conservation laws of a time fractional fifth-order Sawada-Kotera equation
Zheng Xiao,Long Wei
Keywords:S-K equation, Lie symmetry, conservation laws.
Abstract:
      In this paper, we intend to study the symmetry properties and conservation laws of a time fractional fifth-order Sawada-Kotera (S-K) equation with Riemann-Liouville derivative. Applying the well-known Lie symmetry method, we analysis the symmetry properties of the equation. Based on this, we find that the S-K equation can be reduced to a fractional ordinary differential equation with Erdelyi-Kober derivative by the similarity variable and transformation. Furthermore, we construct some conservation laws for the S-K equation using the idea in the Ibragimov theorem on conservation laws and the fractional generalization of the Noether operators.
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