Supercontinuum generation is a highly nonlinear process that exhibits unstable and chaotic
characteristics when developing from long pump pulses injected into the anomalous …

We show that, although nonlinear optics may give rise to a vast multitude of statistics, all
these statistics converge, in their extreme-value limit, to one of a few universal extreme …

Rogue waves are extreme and rare fluctuations of the wave field that have been discussed
in many physical systems. Their presence substantially influences the statistical properties of …

Optical rogue waves of the coupled nonlinear Schrödinger equations with negative coherent
coupling, which describe the propagation of orthogonally polarized optical waves in an …

The supercontinuum generated exclusively in the normal dispersion regime of a nonlinear
fiber is widely believed to possess low optical noise and high spectral coherence. The …

We study the nonlinear localized waves on constant backgrounds of the Hirota–Maxwell–
Bloch (HMB) system arising from the erbium doped fibers. We derive the asymmetric …

We study vector localized waves on continuous wave background with higher-order effects
in a two-mode optical fiber. The striking properties of transition, coexistence, and interaction …

We examine the general question of statistical changes experienced by ensembles of
nonlinear random waves propagating in systems ruled by integrable equations. In our study …

We numerically study long pulse supercontinuum generation in a photonic crystal fiber with
two zero-dispersion wavelengths, reporting a dynamical effect where soliton collisions excite …

We present a general classification of one-soliton solutions as well as families of rogue-
wave solutions for F= 1 spinor Bose-Einstein condensates (BECs). These solutions are …