Applying the Modified F-Expansion Method to Find the Exact Solutions of the Bogoyavlenskii Equation

The aim of this study is to obtain the new exact solutions of the Bogoyavlenskii equation (BE) using the modified F-expansion method. With the aid of symbolic computation, this method has been successfully implemented in the BE and the exact solutions obtained have been expressed by the hyperbolic functions, trigonometric functions, and rational functions. To the best of our knowledge, the BE has not been previously investigated by the modified F-expansion method. The findings of this study demonstrate that the suggested method is highly effective, powerful, and practical for obtaining the exact solutions of one dimensional and higher-dimensional nonlinear partial differential equations arising in mathematical physics and engineering.