Application of the Exp ( )-Expansion Method for Finding Exact Solutions of the (1+1)-Dimensional Dispersive Long Wave Equations

The dispersive long wave (DLW) equations are very important coupled nonlinear partial differential equations that appear for describing nonlinear water wave model in harbor and coastal design. In this paper, the exp(-Φ(ξ))-expansion method has been implemented to find the explicit solutions of the coupled (1+1)-dimensional DLW equations. The efficiency of the method for finding exact solutions has been demonstrated. With the help of symbolic computation, it has been shown that the method is direct, effective and can be used for many other nonlinear partial differential equations (NPDEs) in mathematical physics and engineering.