Turbulent flows are characterized by the non-linear cascades of energy and other inviscid
invariants across a huge range of scales, from where they are injected to where they are …

Abstract Complex Ginzburg–Landau (CGL) equations serve as canonical models in a great
variety of physical settings, such as nonlinear photonics, dynamical phase transitions …

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 …

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

A central concept in the modern understanding of turbulence is the existence of cascades of
excitations from large to small length scales, or vice versa. This concept was introduced in …

The nonlinear propagation of coherent optical fields has been extensively explored in the
framework of nonlinear optics, while the linear propagation of incoherent fields has been …

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 report the first observation of extreme wave events (rogue waves) in parametrically
driven capillary waves. Rogue waves are observed above a certain threshold in forcing …

In this paper, using the Darboux transformation, we demonstrate the generation of first-order
breather and higher-order rogue waves from a generalized nonlinear Schrödinger equation …