Shahoot, Ayad M; Alurrfi, Khaled AE; Elmrid, Mohamed OM; Almsiri, Ali M; Arwiniya, Abdullah MH
الملخص الانجليزي
In this paper, we apply the (G′/G)-expansion method based on three auxiliary equations, namely, the generalized Riccati equation G'(ξ)=r+pG(ξ)+qG2(ξ)
, the Jacobi elliptic equation (G'(ξ))2=R+QG2(ξ)+PG4(ξ)
and the second order linear ordinary differential equation (ODE) G''(ξ)+λG'(ξ)+μG(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.
عبدالله محفوظ هدية الروينية | Abdullah Mahfoud Arwiniya | 462