New Exact Solutions for the Klein-Gordon Equation

Abstract

In this paper, we applied the improved Bernoulli sub-equation function method for the Klein-Gordon equation. Firstly, we reduced the equation to a nonlinear ordinary differential equation with the aid of wave transform. Then we obtained various new exact solutions via the method. These solutions can play an important role in engineering and physics. For some solutions, we drew two and threedimensional graphics to understand physical behaviors. We performed all the calculations and graphs in this article by Wolfram Mathematica.

New Exact Solutions of the Drinfeld-Sokolov System by the Generalized Unified Method

“…Gómez [7] studied the generalized Drinfeld-Sokolov-Wilson equation to obtain exact solutions by applying the improved tanh-coth method. Düşünceli [8] employed the improved Bernoulli sub-equation function method (IBSEFM) to have exact solutions of the Drinfeld-Sokolov equation. Zhang [9] solved the Drinfeld-Sokolov-Wilson equation using a variational approach.…”