Simple equation method and its applications

Differential equations have many applications in science. For example, second order differential equations play a central role in mathematical physics. There are many linear and nonlinear differential equations that cannot be solved by classical methods. Therefore, it is important to know how these solutions behave. To achieve this goal, there are several semi-analytical methods for learning or solving differential equations. One of these methods is the simplest equation method. Nonlinear ordinary and partial differential equation will be solved by using the simplest equation method. The simplest equation method is a widely used method to obtain soliton solutions as well. This method has been shown to be a very effective approach to finding exact or approximate solutions of nonlinear differential equations. Finally, obtained results are evaluated.