( G ′/ G )-Expansion Method for Solving Fractional Partial Differential Equations in the Theory of Mathematical Physics

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...

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Bibliographic Details
Published in:Communications in theoretical physics 2012-11, Vol.58 (5), p.623-630
Main Author: Zheng, Bin
Format: Article
Language:English
Subjects:
Derivatives
Differential equations
Exact solutions
Mathematical analysis
Nonlinearity
Partial differential equations
Theoretical physics
Transformations
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Summary: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 Sfth-order Sawada-Kotera equation. As a result, some new exact solutions for them are successfully established.
ISSN:0253-6102
DOI:10.1088/0253-6102/58/5/02