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