Exact Traveling Wave Solutions for Coupled Nonlinear Fractional pdes

In this paper, the ( / ) G G  -expansion method is extended to solve fractional differential equations in the sense of modified Riemann-Liouville derivative. Based on a nonlinear fractional complex transformation, certain fractional partial differential equations can be turned into ordinary differential equations of integer order. For illustrating the validity of this method, we apply it to find exact solutions with parameters for four fractional nonlinear partial differential equations namely, the time fractional nonlinear coupled Burgers equations, the time fractional nonlinear coupled KdV equations, the time fractional nonlinear Zoomeron equation and the time fractional nonlinear Klein-Gordon-Zakharov equations . When these parameters are taken to be special values, the solitary wave solutions are derived from the exact solutions. The proposed method is efficient and powerful in solving wide classes of nonlinear evolution fractional order equations.