Physikalische Mathematik

An Extended Jacobian Elliptic Function Expansion Approach to the Generalized Fifth Order KdV Equation

Abstract

Alharbi AR, Almatrafi MB and Abdelrahman MAE

In the present study, the well-known extended Jacobian elliptic function expansion approach is successfully employed to reveal the exact travelling wave solutions of the generalized fifth order KdV (GKdV) equation. The travelling wave solutions are derived in forms rational, hyperbolic and exponential functions. The achieved results are correctly confirmed by presenting some 2D and 3D figures. The proposed technique is concise and effective, and simply applicable mathematical concept for constructing the exact solutions of most nonlinear wave equations emerged in some natural phenomena.