27 citations · 66 across the 9 of their papers we have counts for
5 papers · 1 filter
Statistical properties of extreme soliton collisions
A. V. Slunyaev, T. V. Tarasova
Synchronous collisions between a large number of solitons are considered in the context of a statistical description. It is shown that during the interaction of solitons of the sam…
Transformation of envelope solitons on a bottom step
G. Ducrozet, A. V. Slunyaev, Y. A. Stepanyants
In this paper we study the transformation of surface envelope solitons travelling over a bottom step in water of a finite depth. Using the transformation coefficients earlier deriv…
Persistence of hydrodynamic envelope solitons: detection and rogue wave occurrence
Alexey Slunyaev
The observation of a wave group persisting for more than 200 periods in the direct numerical simulation of nonlinear unidirectional irregular water waves in deep water is discussed…
Effects of coherent dynamics of stochastic deep-water waves
Alexey Slunyaev
A method of windowed spatio-temporal spectral filtering is proposed to segregate different nonlinear wave components, and to calculate the surface of free waves. The dynamic kurtos…
On the optimal focusing of solitons and breathers in long wave models
Alexey Slunyaev
Conditions of optimal (synchronized) collisions of any number of solitons and breathers are studied within the framework of the Gardner equation with positive cubic nonlinearity, w…