106 citations · 730 across the 45 of their papers we have counts for
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Numerical approximation to Benjamin type equations. Generation and stability of solitary waves
Vassilios A. Dougalis, Angel Duran, Dimitrios Mitsotakis
This paper is concerned with the study, by computational means, of the generation and stability of solitary-wave solutions of generalized versions of the Benjamin equation. The num…
Dispersive shallow water wave modelling. Part I: Model derivation on a globally flat space
Gayaz Khakimzyanov, Denys Dutykh, Zinaida Fedotova +1
In this paper, we review the history and current state-of-the-art in the modelling of long nonlinear dispersive waves. For the sake of conciseness of this review, we omit the unidi…
Solitary wave solutions and their interactions for fully nonlinear water waves with surface tension in the generalized Serre equations
Denys Dutykh, Mark Hoefer, Dimitrios Mitsotakis
Some effects of surface tension on fully-nonlinear, long, surface water waves are studied by numerical means. The differences between various solitary waves and their interactions…
Error estimates for Galerkin approximations of the Serre equations
Dimitrios Antonopoulos, Vassilios Dougalis, Dimitrios Mitsotakis
We consider the Serre system of equations which is a nonlinear dispersive system that models two-way propagation of long waves of not necessarily small amplitude on the surface of…