Abstract

The generalized Riccati equation mapping is extended which is powerful and straight for Word mathematical tool for solving nonlinear partial differential equations. In this paper, we construct twenty-seven traveling wave solutions for Combined (1+3) Zakharov-Kuznetsov-burgers equation (cmZKB) and potential (1+3) Zakharov-Kuznetsov Equation (Pzk)by applying this method. In this method, \(Q^{'}=l+nQ+mQ^2\) is used, as the auxiliary equation, called the generalized Riccati equation, where l, m and n are arbitrary constants. Further, the solutions are expressed in terms of the hyperbolic function, the trigonometric function and elliptic function.