Exact solutions for some nonlinear fractional parabolic partial differential equations
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摘要
A method for solving some nonlinear fractional parabolic partial differential equations is considered.Using this method, new exact solutions are obtained. By introducing suitable transformation, we obtain a system of fractional differential equations. This system will generate the exact solutions. The efficiency of the considered method can be demonstrated for a large variety of equations more general than Burgers, Murrary and Fishers equations.
论文关键词:Nonlinear fractional parabolic partial differential equations,Exact solutions,Non-Lie ansätze
论文评审过程:Received 22 June 2008, Accepted 28 August 2008, Available online 8 September 2008.
论文官网地址:https://doi.org/10.1016/j.amc.2008.08.049