Soliton and other solutions of some non-linear partial differential equations using the extended (G'/G)-expansion method

Finding the solution of non-linear partial differential equations, which is one of the mathematical languages of systems existing in nature, and discovering new methods are of vital importance. Therefore, it is also important to find exact solutions of nonlinear partial differential equations. The improved (G^'⁄(G)) method is a very accurate method for calculating exact solutions of nonlinear differential equations. Our aim in our graduate seminar is to obtain periodic and soliton solutions of Zakharov Kuznetsov equations. Our graduate master thesis, which we have prepared for this purpose, consists of five main chapters. In the first chapter, general information is given about soliton waves formed by solving nonlinear differential equations. In the second chapter, the necessary basic definitions and theorems are given. In the third chapter, the solution method of the Improved 〖(G〗^'⁄(G)) method was explained, and in the fourth chapter, the solutions of the equations were obtained by applying the method to the differential equations discussed. In the last section, a general evaluation of the obtained results was made.