Analytical solutions of nonlinear Klein–Gordon equation using the improved F-expansion method

Abstract

The improved F-expansion method is a rising approach to obtain new and broad-spectrum exact solutions to the nonlinear evolution equations in the field nonlinear sciences. In this study, the influential F-expansion method is used to extract the analytical solutions of the nonlinear Klein–Gordon equation with the aid of symbolic computation software Maple. We successfully establish the solutions in the form of hyperbolic, trigonometric and rational function structure. The derived solutions could be imperious and significant for narrating the physical phenomena in the real-world. For suitable values of the parameter involved in the solutions, we depict the 2D and 3D graphs of some obtained exact solutions.