107 citations · 3.2k across the 144 of their papers we have counts for
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Adaptive modeling of shallow fully nonlinear gravity waves
Denys Dutykh, Didier Clamond, Dimitrios Mitsotakis
This paper presents an extended version of the celebrated Serre-Green-Naghdi (SGN) system. This extension is based on the well-known Bona-Smith-Nwogu trick which aims to improve th…
A plethora of generalised solitary gravity-capillary water waves
Didier Clamond, Denys Dutykh, Angel Duran
The present study describes, first, an efficient algorithm for computing capillary-gravity solitary waves solutions of the irrotational Euler equations with a free surface and, sec…
Resonance enhancement by suitably chosen frequency detuning
Denys Dutykh, Elena Tobisch
In this Letter we report new effects of resonance detuning on various dynamical parameters of a generic 3-wave system. Namely, for suitably chosen values of detuning the variation…
A new run-up algorithm based on local high-order analytic expansions
Gayaz Khakimzyanov, Nina Shokina, Denys Dutykh +1
The practically important problem of the wave run-up is studied in this article in the framework of Nonlinear Shallow Water Equations (NSWE). The main novelty consists in the usage…
The Whitham Equation as a Model for Surface Water Waves
Daulet Moldabayev, Henrik Kalisch, Denys Dutykh
The Whitham equation was proposed as an alternate model equation for the simplified description of uni-directional wave motion at the surface of an inviscid fluid. As the Whitham e…
Observation of the Inverse Energy Cascade in the modified Korteweg-de Vries Equation
Denys Dutykh, Elena Tobisch
In this Letter we demonstrate for the first time the formation of the inverse energy cascade in the focusing modified Korteweg-de Vries (mKdV) equation. We study numerically the pr…