International Journal of Optics (Jan 2012)
Canonical and Singular Propagation of Ultrashort Pulses in a Nonlinear Medium
Abstract
We examine the two types of singular behaviors of ultrashort pulses in a nonlinear medium, pulse steepening if the weak longitudinal dispersion is normal and collapse if it is anomalous. Connections with analogous behaviors of wave packets of almost monochromatic waves in strongly dispersive media are discussed.