Emergence of rogue waves from optical turbulence

We observed the generation of transient 2D extreme events in a nonlinear quadratic crystal, under experimental conditions far from those leading to quasi-solitons or

Rational solutions to the NLS equation were written in 2010 as a quotient of two wronskians [9]; the present author constructed in [10] an- other representation of the solutions to

Very recently, it is shown in [6] that rational solutions of NLS equation can be written as a quotient of two wronskians using modified version of [8], with some different

Figure 13 shows a numerical solution of LWSW, obtained in the case of baseband MI (leading to rogue-wave generation), showing the evolution of a plane wave perturbed by a small

The explicit RW solutions up to the second order to the TWRI equations are given, revealing that markedly different vector RW behaviors are allowed by the different resonant

Depending on the amount of incoherence in the system (i.e., Hamiltonian), we identify three turbulent regimes that lead to the emergence of specific rogue wave events: (i)

We show that rogue waves can emerge in the genuine turbulent regime and that their coherent deterministic description provided by the rational soliton solutions

Figure 5: Superposition of 200 simulations of the pulse spectrum after propagation in a fiber with a single ZDW pumped in anomalous dispersion (subplots a), a fiber with two