107 citations · 3.2k across the 144 of their papers we have counts for
43 papers · 1 filter
Effects of vorticity on the travelling waves of some shallow water two-component systems
Denys Dutykh, Delia Ionescu-Kruse
In the present study we consider three two-component (integrable and non-integrable) systems which describe the propagation of shallow water waves on a constant shear current. Name…
Long wave interaction with a partially immersed body. Part I: Mathematical models
Gayaz Khakimzyanov, Denys Dutykh
In the present article we consider the problem of wave interaction with a partially immersed, but floating body. We assume that the motion of the body is prescribed. The general ma…
On time relaxed schemes and formulations for dispersive wave equations
Jean-Paul Chehab, Denys Dutykh
The numerical simulation of nonlinear dispersive waves is a central research topic of many investigations in the nonlinear wave community. Simple and robust solvers are needed for…
Accurate fast computation of steady two-dimensional surface gravity waves in arbitrary depth
Didier Clamond, Denys Dutykh
This paper describes an efficient algorithm for computing steady two-dimensional surface gravity wave in irrotational motion. The algorithm complexity is O(N log N), N being the nu…
On weakly singular and fully nonlinear travelling shallow capillary-gravity waves in the critical regime
Dimitrios Mitsotakis, Denys Dutykh, Aydar Assylbekuly +1
In this Letter we consider long capillary-gravity waves described by a fully nonlinear weakly dispersive model. First, using the phase space analysis methods we describe all possib…
Multi-symplectic structure of fully-nonlinear weakly-dispersive internal gravity waves
Didier Clamond, Denys Dutykh
In this short communication we present the multi-symplectic structure for the two-layer Serre-Green-Naghdi equations describing the evolution of large amplitude internal gravity lo…