The nonlinear Schrödinger equation has wide range of applications in physics with spatial
scales that vary from microns to kilometres. Consequently, its solutions are also universal …

The pioneering paper'Optical rogue waves' by Solli et al (2007 Nature 450 1054) started the
new subfield in optics. This work launched a great deal of activity on this novel subject. As a …

We perform a survey of some recent theoretical and experimental studies on
multidimensional (two-and three-dimensional) localized structures in optical and matter …

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 …

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 …

Turbulence in dynamical systems is one of the most intriguing phenomena of modern
science. Integrable systems offer the possibility to understand, to some extent, turbulence …

It is known that rogue waves (RWs) are generated by the modulational instability (MI) of the
baseband type. Starting with the Bers-Kaup-Reiman system for three-wave resonant …

We study the existence and properties of rogue-wave solutions in different nonlinear wave
evolution models that are commonly used in optics and hydrodynamics. In particular, we …

In this paper, general higher-order freak wave solutions of the nonlocal nonlinear
Schrödinger equation (NLSE) with parity-time symmetric can be calculated theoretically via …

We employ a nonrecursive Darboux transformation formalism for obtaining a hierarchy of
rogue wave solutions to the focusing vector nonlinear Schrödinger equations (Manakov …