Journal
COMMUNICATIONS IN THEORETICAL PHYSICS
Volume 58, Issue 5, Pages 623-630Publisher
IOP PUBLISHING LTD
DOI: 10.1088/0253-6102/58/5/02
Keywords
(G '/G)-expansion method; fractional partial differential equations; exact solutions; fractional complex transformation
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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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