107 citations · 3.2k across the 144 of their papers we have counts for
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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…
Algebraic method for constructing singular steady solitary waves: A case study
Didier Clamond, Denys Dutykh, André Galligo
This article describes the use of algebraic methods in a phase plane analysis of ordinary differential equations. The method is illustrated by the study of capillary-gravity steady…