Two New Modifications of the Exp-Function Method for Solving the Fractional-Order Hirota-Satsuma Coupled KdV

Two novel modifications of the exp-function method have been suggested to solve nonlinear system partial differential equation fractional order for first time. The fractional-order Hirota-Satsuma coupled KdV has solved precisely; as a result, some exact solutions, which include soliton-type and rational will be derived. Eventually, graphs obtained results illustrated at end article. newly used methods are highly accurate, flexible, effective, programmable devices.