Waves of extreme amplitude, or ‘‘rogue waves,’’ have been the subject of intense research activity during the past decade. Initiated first in the context of oceanic waves, where the induced stakes and consequences are the most critical, the notion of ‘‘rogue waves’’ or ‘‘freak waves’’ is presently being transferred to the solid grounds of the research laboratories. Observations and predictions of rogue wave events are ubiquitous in various scientific fields from optics to plasma waves. This talk is based on our recent works on this subject.