WSEAS Transactions on Mathematics
Print ISSN: 1109-2769, E-ISSN: 2224-2880
Volume 12, 2013
A New Fractional Sub-Equation Method For Fractional Partial Differential Equations
Authors: ,
Abstract: In this paper, a new fractional sub-equation method is proposed to establish exact solutions for fractional partial differential equations in the sense of modified Riemann-Liouville derivative, which is the fractional version of the known (G’/G) method. For illustrating the validity of this method, we apply it to the space-time fractional generalized Hirota-Satsuma coupled KDV equations and the space-time fractional (2+1)-dimensional breaking soliton equations. As a result, some new exact solutions for them are successfully established.
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Keywords: Fractional sub-equation method, Fractional partial differential equation, Exact solution, Fractional complex transformation, Fractional generalized Hirota-Satsuma coupled KDV equations, Fractional (2+1)-dimensional breaking soliton equations