INTEGRABLE DISCRETIZATION OF COUPLED NONLINEAR SCHRODINGER EQUATIONS

A discrete version of the inverse scattering method proposed by Ablowitz and Ladik is generalized to study an integrable full Adiscretization (discrete time and dis-crete space) of coupled Anonlinear Schrodinger equations. The generalization enables one to solve the initial value problem. Soliton solutions and Aconserved quantities of the full discrete system are constructed.