107 citations · 3.2k across the 144 of their papers we have counts for
9 papers · 1 filter
Numerical simulation of a solitonic gas in KdV and KdV-BBM equations
Denys Dutykh, Efim Pelinovsky
The collective behaviour of soliton ensembles (i.e. the solitonic gas) is studied using the methods of the direct numerical simulation. Traditionally this problem was addressed in…
Visco-potential flows in electrohydrodynamics
Matthew Hunt, Denys Dutykh
In this study we consider the problem of the interface motion under the capillary-gravity and an external electric forces. The infinitely deep fluid layer is assumed to be viscous,…
Evolution of Random Wave Fields in the Water of Finite Depth
Denys Dutykh
The evolution of random wave fields on the free surface is a complex process which is not completely understood nowadays. For the sake of simplicity in this study we will restrict…
Numerical study of the generalised Klein-Gordon equations
Denys Dutykh, Marx Chhay, Didier Clamond
In this study, we discuss an approximate set of equations describing water wave propagating in deep water. These generalized Klein-Gordon (gKG) equations possess a variational form…
Some special solutions to the Hyperbolic NLS equation
Laurent Vuillon, Denys Dutykh, Francesco Fedele
The Hyperbolic Nonlinear Schrodinger equation (HypNLS) arises as a model for the dynamics of three-dimensional narrowband deep water gravity waves. In this study, the Petviashvili…
On the Galerkin / finite-element method for the Serre equations
Dimitrios Mitsotakis, Boaz Ilan, Denys Dutykh
A highly accurate numerical scheme is presented for the Serre system of partial differential equations, which models the propagation of dispersive shallow water waves in the fully-…