Traveling wave solutions for the fifth-order Kdv equation and the BBM equation by (G′/G)-expansion method

In this paper, we demonstrate the effectiveness of the (G′/G)-expansion method by seeking more exact solutions of the fifth-order Kdv equation and the BBM equation. By the method, the two nonlinear evolution equations are separately reduced to non-linear ordinary differential equations (ODE) by using a simple transformation. As a result, the traveling wave solutions are obtained in three arbitrary functions including hyperbolic function solutions, trigonometric function solutions and rational solutions. When the parameters are taken as special values, we also obtain the soliton solutions of the fifth-order Kdv equation. The method appears to be easier and faster by means of a symbolic computation system.