The (G′/G)-expansion method for solving a nonlinear PDE describing the nonlinear low-pass electrical lines

ABSTRACT In this paper, we apply the (G′/G)-expansion method based on three auxiliary equations, namely, the generalized Riccati equation , the Jacobi elliptic equation and the second order linear ordinary differential equation (ODE) to find many new exact solutions of a nonlinear partial differential equation (PDE) describing the nonlinear low-pass electrical lines. The given nonlinear PDE has been derived and can be reduced to a nonlinear ODE using a simple transformation. Soliton wave solutions, periodic function solutions, rational function solutions and Jacobi elliptic function solutions are obtained. Comparing our new solutions obtained in this paper with the well-known solutions is given. Furthermore, plotting 2D and 3D graphics of the exact solutions is shown