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In this paper, we apply the (G′/G)-expansion method based on three auxiliary equations, namely, the generalized Riccati equation G ′ (ξ) = r + p G (ξ) + q G 2 (ξ) , the Jacobi elliptic equation (G ′ (ξ)) 2 = R + Q G 2 (ξ) + P G 4 (ξ) and the second order linear ordinary differential equation (ODE) G ′′ (ξ) + λ G ′ (ξ) + μ G (ξ) = 0 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. [ABSTRACT FROM AUTHOR]