107 citations · 3.2k across the 144 of their papers we have counts for
7 papers · 2 filters
Run-up amplification of transient long waves
Themistoklis Stefanakis, Shanshan Xu, Denys Dutykh +1
The extreme characteristics of long wave run-up are studied in this paper. First we give a brief overview of the existing theory which is mainly based on the hodograph transformati…
Generation of two-dimensional water waves by moving bottom disturbances
Hayk Nersisyan, Denys Dutykh, Enrique Zuazua
We investigate the potential and limitations of the wave generation by disturbances moving at the bottom. More precisely, we assume that the wavemaker is composed of an underwater…
Geometric numerical schemes for the KdV equation
Denys Dutykh, Marx Chhay, Francesco Fedele
Geometric discretizations that preserve certain Hamiltonian structures at the discrete level has been proven to enhance the accuracy of numerical schemes. In particular, numerous s…
Solitary wave interaction in a compact equation for deep-water gravity waves
Francesco Fedele, Denys Dutykh
In this study we compute numerical traveling wave solutions to a compact version of the Zakharov equation for unidirectional deep-water waves recently derived by Dyachenko & Zakhar…
Special solutions to a compact equation for deep-water gravity waves
Francesco Fedele, Denys Dutykh
Recently, Dyachenko & Zakharov (2011) have derived a compact form of the well known Zakharov integro-differential equation for the third order Hamiltonian dynamics of a potential f…
Modified Shallow Water Equations for significantly varying seabeds
Denys Dutykh, Didier Clamond
In the present study, we propose a modified version of the Nonlinear Shallow Water Equations (Saint-Venant or NSWE) for irrotational surface waves in the case when the bottom under…