Application of Sine-Gordon expansion method to modified Zakharov-Kuznetsov and (2+1) dimensional cubic Klein-Gordon equations

This study is consisted of the four chapters. In the first chapter, some fundamental definitions and theorems which are necessary in this study was introduced. In chapter two, the general structures of SGEM and ShGEEM has been presented. In chapter three, the travelling wave solution of Zakharov-Kuznetsov ve (2+1) boyutlu Cubic Klein-Gordon differantial equations by using SGEM and ShGEEM 2D and 3D surfaces of results have been plotted with the help of Wolfram Mathematica 9. In chapter four, it has been given a conclusion about techniques used by taking into account travelling wave solutions obtained in this study.