New solution algorithm of coupled nonlinear system of Schrodinger equations

In this article, new extension of the generalized and improved homogeneous balance method is proposed for constructing new structure of rich class of exact travelling wave solutions of nonlinear evolution equations by using the Maple package. To demonstrate the novelty and motivation of the proposed method, we implement it to the coupled nonlinear system of Schrodinger equations. It is shown that the method provides a powerful mathematical tool for solving nonlinear evolution equations in mathematical physics.