Extreme waves in nonlinear optics

I will discuss the development of wave with extreme features in the domain of nonlinear optics. These extreme waves are encountered in several physical settings, ranging from oceanography to optics, form physics of the atmosphere to Bose-Einstein condensation. The focus is mainly on two processes, namely Rogue Waves (RW), that is the generation of waves of unexpectedly high amplitude from a calm state, and Dispersive Shock Waves (DSW), that is the evolution of steep fronts towards a discontinuity (wave breaking), followed by a regularization through fast oscillations.
I will show the development of extreme waves in different nonlinear optical media, characterized by quadratic or cubic nonlinear response, and the effects on spectral broadening through the emission of novel kinds of resonant radiation.