Journal
COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION
Volume 18, Issue 9, Pages 2321-2326Publisher
ELSEVIER
DOI: 10.1016/j.cnsns.2012.11.032
Keywords
Fractional generalized fifth-order KdV equation; Lie symmetry analysis; Erdelyi-Kober operators; Modified Riemann-Liouville derivative
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Funding
- National Natural Science Foundation of China
- 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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