Over a decade ago, an analogy was drawn between the generation of large ocean waves
and the propagation of light fields in optical fibres. This analogy drove numerous …

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 …

An extended generalized Darboux transformation method is proposed to construct the
hybrid rogue wave and breather solutions for a classical nonlinear Schrödinger equation …

Rogue waves is the name given by oceanographers to isolated large amplitude waves, that
occur more frequently than expected for normal, Gaussian distributed, statistical events …

Since the 1990s, the modulational instability has commonly been used to explain the
occurrence of rogue waves that appear from nowhere in the open ocean. However, the …

This review is dedicated to recent progress in the active field of rogue waves, with an
emphasis on the analytical prediction of versatile rogue wave structures in scalar, vector …

We report and discuss analytical solutions of the vector nonlinear Schrödinger equation that
describe rogue waves in the defocusing regime. This family of solutions includes bright-dark …

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

Extreme events gain the attention of researchers due to their utmost importance in various
contexts ranging from climate to brain. An observable that deviates significantly from its long …

We introduce a mechanism for generating higher-order rogue waves (HRWs) of the
nonlinear Schrödinger (NLS) equation: the progressive fusion and fission of n degenerate …