Travelling and Solitary Wave Solutions of (2+1)-Dimensional Nonlinear Evoluation Equations by Using Khater Method

The most of the physical systems are nonlinear by nature which can be represented by various nonlinear partial differential equations. Here, we present a simple technique say Khater method to find the Travelling and Solitary Wave solutions of (2+1)-dimensional nonlinear evoluation equations. This method is a very powerful tool for obtaining the exact solutions of various nonlinear differential equations. In this study, modified Korteweg- de Vries-Zakharov-Kuznetsov (mKdV-ZK) equation is taken as an example of nonlinear evoluation equation which is used in astrophysics to study various space phenomena, dynamics of plasma etc.