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- Centre National de la Recherche ScientifiqueFR120 papers
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26 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 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…
Conservative modified Serre-Green-Naghdi equations with improved dispersion characteristics
Didier Clamond, Denys Dutykh, Dimitrios Mitsotakis
For surface gravity waves propagating in shallow water, we propose a variant of the fully nonlinear Serre-Green-Naghdi equations involving a free parameter that can be chosen to im…
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…