Nonlinear evolution equations of n-soliton solutions

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 addition, 1-soluton, 2-soliton, 3-soliton and N soliton solutions of nonlinear partical differential equations is obtained using exponential functional method. This thesis is in four parts.First of all, some basic concepts and definitions of partial derivative equations and difference equation at the first part.Next, exponential functional method is given and applied to different KdV equations at the second part. Then, exponential functional method is defined to construct N-soliton solutions and 1-soliton, 2-soliton, 3-soliton and N-soliton solutions of KdV equations are obtained using this method.Third part consists of definitions of exponential functional method to construct nonlinear different differential equations and 1-soliton solutions of nonlineer differential different equations. Moreover, N-soliton solutions of these equations are obtained with exponential functional method.At the last part results obtained from the study and suggestions are given.