We review the different dynamical mechanisms leading to the emergence of coherent
structures in physical systems described by the integrable one-dimensional nonlinear …

Nondeterministic giant waves, denoted as rogue, killer, monster, or freak waves, have been
reported in many different branches of physics. Their physical interpretation is however still …

We show the existence of self-similar giant rogue waves in a tapered graded-index
nonlinear fiber and analytically illustrate their amplification in a rather small spatiotemporal …

The Peregrine soliton is a localized nonlinear structure predicted to exist over 25 years ago,
but not so far experimentally observed in any physical system. It is of fundamental …

We theoretically and numerically evidence that optical rare and strong temporal events
generated in fiber supercontinua originate from convective modulational instabilities. This …

We report an optical fiber experiment in which we study the nonlinear stage of modulational
instability of a plane wave in the presence of a localized perturbation. Using a recirculating …

We investigate dark rogue wave dynamics in normally dispersive birefringent optical fibers,
based on the exact rational solutions of the coupled nonlinear Schrödinger equations …

Optical rogue waves are rare, extreme fluctuations in the value of an optical field. The
term'optical rogue wave'was first used in the context of an analogy between pulse …

Modulation instability is a fundamental process of nonlinear science, leading to the unstable
breakup of a constant amplitude solution of a physical system. There has been particular …

We study the nonlinear waves on constant backgrounds of the higher-order generalized
nonlinear Schrödinger (HGNLS) equation describing the propagation of ultrashort optical …