A CHEBYSHEV SPECTRAL COLLOCATION METHOD FOR THE COUPLED NONLINEAR SCHRODINGER EQUATIONS

In this paper, we use the Chebyshev spectral collocation method to obtain numerical solutions for the coupled nonlinear Schrodinger equations. The Schrodinger equations are reduced to a system of ordinary differential equations that are solved by the fourth order Runge-Kutta method. The comparison between the numerical solution and the exact solution for the test cases shows good accuracy of the Chebyshev spectral collocation method.