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

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 …

We introduce a novel family of analytic solutions of the three-wave resonant interaction
equations for the purpose of modeling unique events, ie,“amplitude peaks” which are …

Rogue waves are anomalously high waves that may suddenly form on the sea surface. At
the dawn of the 21st century, they attracted the interest of researchers, from oceanographers …

Nonlinear wave focusing originating from the universal modulation instability (MI) is
responsible for the formation of strong wave localizations on the water surface and in …

Rogue waves in fluid dynamics and optical waveguides are unexpectedly large
displacements from a background state, and occur in the nonlinear Schrödinger equation …

Breather solutions of the nonlinear Schrödinger equation (NLSE) are known to be
considered as backbone models for extreme events in the ocean as well as in Kerr media …

In this paper, we revisit Janssen's (J. Phys. Oceanogr., vol. 33 (4), 2003, pp. 863–884)
formulation for the dynamic excess kurtosis of weakly nonlinear gravity waves in deep water …

The experimental observation of second order ion acoustic Peregrine breathers in
multicomponent plasma with negative ions is reported. A long wavelength initial perturbation …

In nature, water waves usually propagate in groups and the open question about the
characteristics of the highest possible wave in a group is of significant theoretical and …