Ablowitz (University of Colorado-Boulder) offers a self-contained presentation of the inverse scattering transform (IST) as applied to nonlinear Schrödinger (NLS) systems. Detailed mathematical analysis of the scattering theory is presented, soliton solutions are obtained, and soliton interactions are analyzed. Coverage encompasses aspects of the scattering theory, vector-soliton interactions, and the IST for well-known discrete systems.