81 citations · 587 across the 33 of their papers we have counts for
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On the multi-symplectic structure of the Serre-Green-Naghdi equations
Marx Chhay, Denys Dutykh, Didier Clamond
In this short note, we present a multi-symplectic structure of the Serre-Green-Naghdi (SGN) equations modelling nonlinear long surface waves in shallow water. This multi-symplectic…
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…
Efficient computation of capillary-gravity generalized solitary waves
Denys Dutykh, Didier Clamond, Angel Duran
This paper is devoted to the computation of capillary-gravity solitary waves of the irrotational incompressible Euler equations with free surface. The numerical study is a continua…
Modeling water waves beyond perturbations
Didier Clamond, Denys Dutykh
In this chapter, we illustrate the advantage of variational principles for modeling water waves from an elementary practical viewpoint. The method is based on a `relaxed' variation…