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Lie group classifications and exact solutions for time-fractional Burgers equation (1011.3692v1)
Published 16 Nov 2010 in math-ph, math.GR, math.MP, and nlin.SI
Abstract: Lie group method provides an efficient tool to solve nonlinear partial differential equations. This paper suggests a fractional Lie group method for fractional partial differential equations. A time-fractional Burgers equation is used as an example to illustrate the effectiveness of the Lie group method and some classes of exact solutions are obtained.