Analytical solutions of some non-linear differantial equations with (1/Gꞌ)-expansion method

In this thesis, solutions of nonlinear partial differential equations are investigated using the (1/Gꞌ)– expansion method. Cubic klein gordon (Ckg), Zoomeron, Nonlinear extented quantum zakharov (Nleqzk) and Symmetric regularized long wave (Srlw) equations were studied with this method and solution functions were created with the help of ready-made computer package programs and two and three dimensional drawings were made. This study consists of 7 chapters. In the first part, information about nonlinear partial differential equations is given. In the second part, information is given about solitary waves and the history of solitons. In the third section, basic definitions required for the thesis study are given. In the fourth chapter, the (1/Gꞌ)–expansion method used to obtain periodic wave solutions of nonlinear partial differential equations is introduced. In the fifth chapter, the solution functions of Ckg, Zoomeron, Nleqzk and Srlw equations are analyzed with the (1/Gꞌ)–expansion method. Two-dimensional and three-dimensional graphics of the solutions are created with the help of ready-made computer package programs. In the sixth section, the findings obtained as a result of the studies are given. In the seventh chapter, a comprehensive result is given considering the analytical solutions obtained.