Extreme events, such as rogue waves, earthquakes, and stock market crashes, occur
spontaneously in many dynamical systems. Because of their usually adverse …

The propagation of ultrashort light pulses in a birefringent optical fiber exhibiting
spatiotemporal dispersion, cross-and self-phase modulation, self-steepening, and group …

Understanding the phenomenon of rogue wave formation, often called extreme waves, in
diverse branches of nonlinear science has become one of the most attractive domains …

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 …

Under suitable assumptions, the nonlinear dynamics of surface gravity waves can be
modeled by the one-dimensional nonlinear Schrödinger equation. Besides traveling wave …

A new modified nonlinear Schrödinger (MNLS) equation is derived for gravity waves with the
presence of wind, dissipation, and shear currents in finite water depth. Horizontal surface …

The data recorded in optical fiber and in hydrodynamic experiments reported the pioneering
observation of nonlinear waves with spatiotemporal localization similar to the Peregrine …

The rogue wave solutions (rational multibreathers) of the nonlinear Schrödinger equation
(NLS) are tested in numerical simulations of weakly nonlinear and fully nonlinear …

As non-linear extreme waves, freak waves have huge wave crests, large wave heights and
concentrated energies. The freak waves usually lead to severe impacts on ships and marine …

We report the first experimental observation of periodic breathers in water waves. One of
them is Kuznetsov–Ma soliton and another one is Akhmediev breather. Each of them is a …