Exact Solutions of a Class of Time Fractional(2+1)-Dimensional Extended Fisher-Kolmogorov Equations
The Lie method is used to perform symmetric analysis of a class of time fractional(2+1)-dimensional extended Fisher-Kolmogorov equations for obtaining an invariant solution of the equations,and then the dimensionality reduction treatment is carried on the equations.The ordinary differential equations are obtained by introducing fractional order complex transformations.Based on the auxiliary function method,the exact solutions of the ODEs under various conditions which the parameters are satisfied are obtained,including trigonometric function solutions and solitary wave solutions.The relevant graphs of two typical exact solutions are drawn.
(2+1)-dimension extended Fisher-Kolmogorov equationLie methodauxiliary function methodexact solution
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