99 citations · 626 across the 27 of their papers we have counts for
11 papers · 1 filter
Self-similarity of rogue wave generation in gyrotrons: Beyond the Peregrine breather
R. M. Rozental, A. V. Slunyaev, N. S. Ginzburg +2
Within the framework of numerical simulations, we study the gyrotron dynamics under conditions of a significant excess of the operating current over the starting value, when the ge…
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…
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…
Properties of synchronous collisions of solitons in the Korteweg - de Vries equation
Tatiana V. Tarasova, Alexey V. Slunyaev
Synchronous collisions of solitons of the Korteweg -- de Vries equation are considered as a representative example of the interaction of a large number of solitons in a soliton gas…
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…
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…
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…
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…
The role of multiple soliton and breather interactions in generation of rogue waves: the mKdV framework
A. V. Slunyaev, E. N. Pelinovsky
The role of multiple soliton and breather interactions in formation of very high waves is disclosed within the framework of integrable modified Korteweg - de Vries (mKdV) equation.…