26 citations · 27 across the 4 of their papers we have counts for
11 papers
A Nonlinear Formulation of Radiation Stress and Applications to Cnoidal Shoaling
Martin O. Paulsen, Henrik Kalisch
In this article we provide formulations of energy flux and radiation stress consistent with the scaling regime of the Korteweg-de Vries (KdV) equation. These quantities can be used…
Fully dispersive Boussinesq models with uneven bathymetry
John D. Carter, Evgueni Dinvay, Henrik Kalisch
Three weakly nonlinear but fully dispersive Whitham-Boussinesq systems for uneven bathymetry are studied. The derivation and discretization of one system is presented. The numerica…
The Whitham Equation with Surface Tension
Evgueni Dinvay, Daulet Moldabayev, Denys Dutykh +1
The viability of the Whitham equation as a nonlocal model for capillary-gravity waves at the surface of an inviscid incompressible fluid is under study. A nonlocal Hamiltonian syst…
A comparative study of bi-directional Whitham systems
Evgueni Dinvay, Denys Dutykh, Henrik Kalisch
In 1967, Whitham proposed a simplified surface water-wave model which combined the full linear dispersion relation of the full Euler equations with a weakly linear approximation. T…
Approximate Conservation Laws in the KdV Equation
Samer Israwi, Henrik Kalisch
The Korteweg-de Vries equation is known to yield a valid description of surface waves for waves of small amplitude and large wavelength. The equation features a number of conserved…
Particle trajectories in nonlinear Schrodinger models
John D. Carter, Christopher W. Curtis, Henrik Kalisch
The nonlinear Schrodinger equation is well known as a universal equation in the study of wave motion. In the context of wave motion at the free surface of an incompressible fluid,…