Investigation the solutions of some nonlinear partial differential equations by generalized Kudryashov method

This thesis consists of five distinct chapters. In the introduction part, which is the first chapter, some information about partial differential equations and the emergence of the generalized Kudryashov method and the development of the method are given. The second part is the section of resource summaries, and some information about the past studies on Kudryashov method, modified Kudryashov method and generalized Kudryashov method have been given. In the third part, some basic definitions and concepts required for this thesis study are included and information about the general structure of the generalized Kudryashov method is introduced. In the fourth chapter, generalized Kudryashov method is employed for obtaining some exact solutions of strain wave equation, (2+1)-dimensional dissipative long wave system, (2+1)-dimensional Bogoyavlensky-Konopelchenko (BK) equation, perturbed Radhakrishnan-Kundu-Lakshmanan (RKL) equation, (2+1)-dimensional Date-Jimbo-Kashiwara-Miwa (DJKM) equations. In addition, two- and three-dimensional graphs of the obtained solutions by using the Mathematica 12 programming language were plotted for certain values. The fifth chapter is conclusion and suggestions, and comprehensive results regarding the solutions found in this thesis are stated.