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 …

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 Hirota equation is a modified nonlinear Schrödinger equation (NLSE) that takes into
account higher-order dispersion and time-delay corrections to the cubic nonlinearity. In …

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 …

A statistical theory of rogue waves is proposed and tested against experimental data
collected in a long water tank where random waves with different degrees of nonlinearity are …

The formation of breathers as prototypes of freak waves is studied within the framework of
the classic 'focussing'nonlinear Schrödinger (NLS) equation. The analysis is confined to …

The instability of Stokes waves, steady propagating waves on the surface of an ideal fluid of
infinite depth, is a fundamental problem in the field of nonlinear science. The dominant …

Freak or rogue waves are so called because of their unexpectedly large size relative to the
population of smaller waves in which they occur. The 25.6 m high Draupner wave, observed …

The appearance of rogue waves in deep sea is investigated by using the modified nonlinear
Schrödinger (MNLS) equation in one spatial dimension with random initial conditions that …

Nonlinear modulational instability of wavepackets is one of the mechanisms responsible for
the formation of large-amplitude water waves. Here, mechanically generated waves in a …