We extend the Exp-function method to fractional partial differential equations in the sense of modified Riemann-Liouville derivative based on nonlinear fractional complex transformation. For illustrating the validity of this method, we apply it to the space-time fractional Fokas equation and the nonlinear fractional Sharma-Tasso-Olver (STO) equation. As a result, some new exact solutions for them are successfully established.

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Exp-Function Method for Solving Fractional Partial Differential Equations

In this paper, the general solutions of the Duffing equation with third degree nonlinear term is obtain using the Exp-function method. Using the Duffing equation and its general solution, the new and general exact solution with free parameter and arbitrary functions of the (2+1) dimensional dispersive long wave equation are obtained. Setting free parameters as special values, hyperbolic as well as trigonometric function solutions are also derived. With the aid of symbolic computation, the Exp-function method serves as an effective tool in solving the nonlinear equations under study. Key words: Exp-function method; Duffing equation; Exact solutions; Nonlinear evolution equations

/pdf/exp-function-method-for-duffing-equation-and-new-solutions-2x95hjilqb.pdf

Exp-Function Method for Duffing Equation and New Solutions of (2+1) Dimensional Dispersive Long Wave Equations

https://openaccess.iyte.edu.tr/bitstream/11147/2141/1/2141.pdf

Li-Na Zhang

Papers

Generalized solitary solution and compacton-like solution of the Jaulent–Miodek equations using the Exp-function method