Solution of nonlinear equations

Nonlinear equations are equations that can be used many areas such as chemistry, physics and biology. Application mathematics is interested in with exact solution of this equations and improving new solution methods. In this study, solutions of exponential functions method that are nonlinear equations and application of this methods to other equations are done. In first part of study, general informations about partical differantial equations are given. In the second part of the study, exponential function method is introduced. In third part of the study, applications of exponential function method is done to nonlinear partial differential equations, equation systems and nonlinear difference-differential equations. In the last part of the study results of this study are given.Keywords: Differential equations, Differential-difference equations, Partial derivative equations, Exact solutions, Exp-Function method.