Nonlinear Schrödinger(NLS)equations are centrally
important in nonlinear optics. The study of
strong dispersion management in communications
and the allied concept of diffraction management in discrete
spatial systems leads to new classes of asymptotic models
where the governing equations are nonlinear nonlocal systems
of NLS type. Methods to find soliton and quasi-linear
pulse solutions and how these equations arise in physical
applications will be discussed.