The Modified Kudryashov Method for Solving Some Evolution Equations

The study of numerical methods for solving partial differential equations and the travelling wave solutions of these equations have significant roles in physical science over the last decades from both theoritical and the practical points of view. Mathematical physics consist of many mathematical models which described by the nonlinear partial differential equations. The investigation of the travelling wave solutions of nonlinear evolution equations appears in various scientific fields, such as plasma physics, fluid mechanics, hydrodynamic, optical fibers, chemical physics. Many powerful and effective methods are used for investigating the explicit travelling wave solutions. In this paper, we have applied the modified Kudryashov method for solving some nonlinear evolution equations by the help of commutative algebra. This method is applicable for the other nonlinear partial differential equations.