(G'/G)-Expansion Method for Solving Fractional Partial Differential Equations in the Theory of Mathematical Physics |
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Authors: | ZHENG Bin |
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Affiliation: | School of Science, Shandong University of Technology, Zibo 255049, China |
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Abstract: | In this paper, the (G'/G)-expansion method is extended to solve fractional partial differential equations in the sense of modified Riemann-Liouville derivative. Based on a nonlinear fractional complex transformation, a certain fractional partial differential equation can be turned into another ordinary differential equation of integer order. For illustrating the validity of this method, we apply it to the space-time fractional generalized Hirota-Satsuma coupled KdV equations and the time-fractional fifth-order Sawada-Kotera equation. As a result, some new exact solutions for them are successfully established. |
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Keywords: | (G'/G)-expansion method fractional partial differential equations exact solutions fractional complex transformation |
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