Solutions of some nonlinear partial differential equations by using special transformations and analysis of these solutions

This study was formed into five sections.In the first section, the basic definitions were given.In the second section, historical analysis of some of the methods used to obtain wave solutions of nonlinear partial differential equations was conducted. All these methods are based on finding the balance term, for the equation that take into account, balancing the higher order linear term with higher order nonlinear term. So these methods can be applied only non-linear partial differential equations. Furthermore these methods convert a partial differential equation into an ordinary differential equation. Thus, it can be reached more easily to the solution.In the third section, from the analyzed methods in second section by taking inspiration to the Kudryashov method, by being made some expansions on the auxiliary Bernoulli equation which is used in this method, Bernoulli equation was chosen in the form of F'=B*F^n-A*F. In this auxiliary, equation by taking n=2 and n=3 some wave solutions have been obtained for Burgers equation, KdV equation and the shallow water wave equation system.In the fourth section, the wave solutions obtained by the generalization was formulated for n in the third section.In the fifth section, it was made a general assessment by the obtained results in this study have been supported with the studies in the literature.