In this article, an amelioration of the approaches namely the new extended direct algebraic method for solving the nonlinear partial equation is presented. By using the traveling wave transformation change the nonlinear partial equation into the ordinary differential equation, and with the aid of mathematical software Maple, a number of new exact solutions for them are calculated. The obtained results show that the proposed method is powerful, effective, and straightforward technique to work out new solutions of various types of nonlinear partial differential equations in applied sciences.
