This paper deals with the implementation of a new, efficient, non-perturbative, Hamiltonian
coupled-mode theory (HCMT) for the fully nonlinear, potential flow (NLPF) model of water …

Two methods to treat wave breaking in the framework of the Hamiltonian formulation of free-
surface potential flow are presented, tested, and validated. The first is an extension of …

Series expansions of unknown fields Φ=∑ φ n Z n in elongated waveguides are commonly
used in acoustics, optics, geophysics, water waves and other applications, in the context of …

In the present study, we propose a modified version of the Nonlinear Shallow Water
Equations (Saint-Venant or NSWE) for irrotational surface waves in the case when the …

The classical water wave equations (CWWEs) comprise two boundary conditions for the two‐
dimensional flow on the free surface of a bulk three‐dimensional (3D) incompressible …

A new Hamiltonian formulation for the fully nonlinear water-wave problem over variable
bathymetry is derived, using an exact, vertical series expansion of the velocity potential, in …

The Hamiltonian coupled-mode theory (HCMT), recently derived by Athanassoulis and
Papoutsellis [Proceeding of 34th International Conference on Ocean Offshore Arctic …

A novel, exact, Hamiltonian system of two nonlinear evolution equations, coupled with a time-
independent system of horizontal differential equations providing the Dirichlet-to-Neumann …

The understanding of the motion of water waves is of fundamental importance for many
applications related to disciplines such Naval and Marine Hydrodynamics, Coastal and …

Over the last few decades, the study of water waves is becoming relevant for more
applications, surpassing their traditional study regarding ships and coastal structures and …