Finding soliton solutions of some partial differential equations by generalized Kudryashov method

This thesis occurs of five different parts. In the first part, some informations related to the emergence of the generalized Kudryashov method and the application of the method are given. In the second part, some basic definitions and concepts are given. In the third part, the basic structure of generalized Kudryashov method are introduced. In the fourth section, generalized Kudryashov method is implemented to find some solutions of Kraenkel-Manna-Merle system, generalized hyperelastic-rod wave equation, Ivancevic option pricing model and (3+1)-dimensional nonlinear wave equation in liquid with gas bubbles. Also, three dimensional, contour and two dimensional graphics of the found solutions by means of Mathematica 12 program are shown. The fifth part is the conclusion part and detailed results related to the obtained solutions in this thesis are given.