Rogue waves in one dimensional discrete systems

Rogue waves suddenly appear on the sea surface and disappear quickly. They have a large amplitude at least two times higher than the rest of the sea. These waves are important because they can be observed in many physical fields. In this thesis, discrete rogue wave in an array of nonlinear waveguides has been numerically studied. In a real experiment, a small degree of disorder always exists. The small degree of disorder have been ignored up to now. In this study, diagonal and off-diagonal disorder have been considered. It is observed that these small degrees of disorders significantly affect the dynamics and structure of the rogue wave. Also in this thesis; long-living discrete rogue waves are predicted and the evolution of these waves is studied .