The critical nonlinear Schrodinger equation (NLS) on bounded domains models
the propagation of cw laser beams in hollow-core fibers. Unlike the NLS on
unbounded domains which models propagation in bulk media, the ground-state
waveguide solutions are stable and the condition of critical power for sin
gularity formation is generically sharp. (C) 2001 Elsevier Science B.V. All
rights reserved.