Abstract

This paper proposes a new approach of $\left(\acute{G}/G\right)$ -expansion method for constructing more general exact solutions of nonlinear evolution equation. By using this method numerous new and more general exact solutions have been obtained. We will apply this new method to solve the nonlinear KdV equation.
Various exact traveling wave solutions of these equations are obtained that include the exponential function solutions, the hyperbolic function solutions and the trigonometric function solutions. Further, the method is efficient to solve nonlinear evolution equations in many areas such as physics and engineering.

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