The two dimensional coupled nonlinear SchrÖdinger equation: numerical methods and experiments

The coupled nonlinear Schrdinger equation is of tremendous importance in both theory and applications. Coupled nonlinear Schrdinger equation (CNLS) is the vectorial version of the nonlinear Schrdinger equation (NLS). The NLS equation is the main governing equation in the area of optical solitons.In this thesis, we perform numerical simulations of two dimensional CNLS equation using various numerical methods like the split-step Fourier methods and the finite difference methods. We implement parallel methods on the zcluster multiprocessor system. We then compare the numerical results time wise to see whether these methods have given a good speed up thus enhancing performance.