21 citations · 25 across the 9 of their papers we have counts for
3 papers · 1 filter
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…
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…
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…