Considering a simple one dimensional nonlinear Schrödinger optical model, we study the existence of rogue wave events in the highly incoherent state of the system and compare them with the recently identified hierarchy of rational soliton solutions. We show that rogue waves can emerge in the genuine turbulent regime and that their coherent deterministic description provided by the rational soli...

We present a numerical study of the evolution dynamics of "optical rogue waves", statistically-rare extreme red-shifted soliton pulses arising from supercontinuum generation in photonic crystal fiber [D. R. Solli, et al. Nature 450, 1054-1058 (2007)]. Our specific aim is to use nonlinear Schrödinger equation simulations to identify ways in which the rogue wave dynamics can be actively controlle...

Rogue waves are abnormally large which appear unexpectedly and have attracted considerable attention, particularly in recent years. The one space, time (1+1) nonlinear Schr\"odinger equation is often used to model rogue waves; it an envelope description of plane admits the so-called Pergerine Kuznetov-Ma soliton solutions. However, deep water certain electromagnetic systems where there two sign...

Understanding the phenomenon of rogue wave formation, often called extreme waves, in diverse branches nonlinear science has become one most attractive domains. Given great richness new results and increasing number disciplines involved, we are focusing here on two pioneering fields: hydrodynamics optics. This tutorial aims to provide basic background recent developments formation waves various ...

Among the myriad of nonlinear optical effects, supercontinuum generation is perhaps the most visually stunning and useful in applications ranging from tomography to frequency metrology. When a high-intensity optical pulse propagates through a nonlinear dielectric medium, its spectrum broadens, with the degree of broadening depending on the strength of the interaction. If the interaction is stro...