4.7 Article

Lie symmetry analysis to the time fractional generalized fifth-order KdV equation

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ELSEVIER
DOI: 10.1016/j.cnsns.2012.11.032

关键词

Fractional generalized fifth-order KdV equation; Lie symmetry analysis; Erdelyi-Kober operators; Modified Riemann-Liouville derivative

资金

  1. National Natural Science Foundation of China
  2. China Academy of Engineering Physics [NSAF:11076015]

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In this paper, using the Lie group analysis method, we study the invariance properties of the time fractional generalized fifth-order KdV equation. It shows that this equation can be reduced to an equation which is related to the Erdelyi-Kober fractional derivative. Of course, this method can also be applied to other nonlinear fractional partial differential equations. (C) 2012 Elsevier B.V. All rights reserved.

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