Investigations of analytical solutions of partial differantial equations with the help of improved Bernoulli sub-equation function method and sine-gordon expansion method

This study is consisted of the five chapters. In the first chapter, it has been conducted a literature survey in a general. In second chapter, some fundamental definitions and theorems used in this thesis have been introduced. In chapter third, the general structures of improved Bernoulli sub-equation function method and sine-Gordon expansion method have been presented. In chapter fourth, improved Bernoulli sub-equation function method and sine-Gordon expansion method have been applied to the (3+1)-dimensional Kadomtsev-Petviashvili, (3+1)-dimensional Schrödinger equations and Zakharov-Kuznetsov-Benjamin-Bona-Mahony equations. 2D and 3D surfaces of results have been plotted with the help of Wolfram Mathematica 9 program. In chapter fifth, a general conclusion has been given. KEYWORDS: Kadomtsev Petviashvili, Schrödinger, Zakharov Kuznetsov Benjamin Bona Mahony, Improved Bernoulli sub eqation function method, sine-Gordon expansion method.