A.V. Slunyaev, D.E. Pelinovsky, and E.N. Pelinovsky

Rogue waves in the sea: observations, physics and mathematics

Uspekhi in Physical Sciences 193 (2023) 155-181
Phys. Usp. 66 (2) (2023)

Abstract:
Rogue waves are anomalously high waves which unexpectedly occur on the sea surface. They attracted the interest of researchers, from oceanographers to mathematicians, at the turn of the XX-XXI centuries. Results of investigation of this phenomenon are discussed in this review: the physical mechanisms of the rogue wave generation and the corresponding mathematical models; the available field data; results of the direct numerical simulation and of laboratory experiments; new approaches to modeling and forecasting extreme sea waves.

Keywords:
Rogue waves, modulation instability, nonlinear Schrodinger equation.