21 citations · 25 across the 9 of their papers we have counts for
9 papers
The effect of induced flow on the water wave skewness
Alexey V. Slunyaev, Anna V. Kokorina
Nonlinear wave-induced perturbations are discussed within the framework of the second-order theory. Due to the slow attenuation of the long perturbations with depth, they modulate…
On the probability of down-crossing and up-crossing rogue waves
Alexey V. Slunyaev, Anna V. Kokorina
By means of the direct numerical simulation of directional waves on the surface of deep water it is shown that extreme waves can exhibit such asymmetry that the occurrence of deepe…
Nonlinear waves, modulations and rogue waves in the modular Korteweg-de Vries equation
Alexey Slunyaev, Anna Kokorina, Efim Pelinovsky
Effects of nonlinear dynamics of solitary waves and wave modulations within the modular (also known as quadratically cubic) Korteweg - de Vries equation are studied analytically an…
Nonlinear dynamic pressure beneath waves in water of intermediate depth: Theory and experiment
A. V. Slunyaev, A. V. Kokorina, M. Klein
The data of simultaneous measurements of the surface displacement produced by propagating planar waves in experimental flume and of the dynamic pressure beneath the waves are compa…
Stability and interaction of compactons in the sublinear KdV equation
Dmitry E. Pelinovsky, Alexey V. Slunyaev, Anna V. Kokorina +1
Compactons are studied in the framework of the Korteweg-de Vries (KdV) equation with the sublinear nonlinearity. Compactons represent localized bell-shaped waves of either polarity…
Account of occasional wave breaking in numerical simulations of irregular water waves in the focus of the rogue wave problem
Alexey Slunyaev, Anna Kokorina
The issue of accounting of the wave breaking phenomenon in direct numerical simulations of oceanic waves is discussed. It is emphasized that this problem is crucial for the determi…
Lifetimes of rogue wave events in direct numerical simulations of deep-water irregular sea waves
Anna Kokorina, Alexey Slunyaev
The issue of rogue wave lifetimes is addressed in this study, which helps to detail the general picture of this dangerous oceanic phenomenon. The direct numerical simulations of ir…
Soliton groups as the reason for extreme statistics of unidirectional sea waves
A. V. Slunyaev, A. V. Kokorina
The results of the probabilistic analysis of the direct numerical simulations of irregular unidirectional deep-water waves are discussed. It is shown that an occurrence of large-am…
Evolution of unidirectional random waves in shallow water (the Korteweg - de Vries model)
Anna Kokorina, Efim Pelinovsky
Numerical simulations of the unidirectional random waves are performed within the Korteweg -de Vries equation to investigate the statistical properties of surface gravity waves in…