New Exact Solutions of some (2 + 1)-Dimensional Nonlinear Evolution Equations Via Extended Kudryashov Method

In this work, we propose an extended Kudryashov method to present new exact solutions of some nonlinear partial differential equations. The key idea of this method is to take full advantages of the Bernoulli and the Riccati equations involving parameters. We choose the (2 + 1)-dimensional Painlevé integrable Burgers equations and the (2 + 1)-dimensional Korteweg-de Vries-Burgers equation to illustrate the validity and advantages of the method. By means of this method many new and general exact solutions have been found.