Application of the (G'⁄G)- Expansion Method for The Nonlinear Variant Boussinesq Equation and Drinfeld-Sokolov Equation

Abstract

In this paper, - The expansion method has been applied to find the traveling wave solutions of the Variant Boussinesq equation and Drinfeld-Sokolov equation. It has been shown that the expansion method saves time and effort in obtaining explicit and accurate solutions, thus providing insights into the dynamics of nonlinear systems. This method has the ability to simplify difficult and complex equations. An effective approach for deriving explicit solutions, offering significant insights into the dynamics of nonlinear systems. Furthermore, it highlights the method's ability to simplify complex equations, establishing it as a valuable tool for both theoretical research and practical applications.