%0 Journal Article
%T The (G¡ä/G)-expansion method for solving a nonlinear PDE describing the nonlinear low-pass electrical lines
%A Abdullah M. H. Arwiniya
%A Ali M. Almsiri
%A Ayad M. Shahoot
%A Khaled A. E. Alurrfi
%A Mohamed O. M. Elmrid
%J Journal of Taibah University for Science
%D 2019
%R https://doi.org/10.1080/16583655.2018.1528663
%X ABSTRACT In this paper, we apply the (G¡ä/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
%U https://www.tandfonline.com/doi/full/10.1080/16583655.2018.1528663