Super rogue waves with an amplitude of up to 5 times the background value are observed in
a water-wave tank for the first time. Nonlinear focusing of the local wave amplitude occurs …

We present experimental observations of the hierarchy of rational breather solutions of the
nonlinear Schrödinger equation (NLS) generated in a water wave tank. First, five breathers …

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 …

The conventional definition of rogue waves in the ocean is that their heights, from crest to
trough, are more than about twice the significant wave height, which is the average wave …

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

In multi-component systems, several rogue waves can be simultaneously excited using
simple initial conditions in the form of a plane wave with a small amplitude single-peak …

Rogue and dispersive shock waves are phenomena that occur in nonlinear dispersive
media. They have been studied in different fields of physics, including ocean waves …

In this essay we give an overview on the problem of rogue or freak wave formation in the
ocean. The matter of the phenomenon is a sporadic occurrence of unexpectedly high waves …

We present a method for finding the hierarchy of rational solutions of the self-focusing
nonlinear Schrödinger equation and present explicit forms for these solutions from first to …

Exact rogue wave solutions of the coupled Hirota equations are obtained by using a
Darboux dressing transformation. An analysis of the spectral parameter condition shows that …