New Jacobi Elliptic Function Solutions for the Zakharov Equations

Abstract

A generalized $(G^{\prime }/G)$-expansion method is proposed to seek the exact solutions of nonlinear evolution equations. Being concise and straightforward, this method is applied to the Zakharov equations. As a result, some new Jacobi elliptic function solutions of the Zakharov equations are obtained. This method can also be applied to other nonlinear evolution equations in mathematical physics.