91 citations · 282 across the 13 of their papers we have counts for
13 papers
The superharmonic instability and wave breaking in Whitham equations
John D. Carter, Marc Francius, Christian Kharif +2
The Whitham equation is a model for the evolution of surface waves on shallow water that combines the unidirectional linear dispersion relation of the Euler equations with a weakly…
Free surface water-waves generated by instability of an exponential shear flow
Malek Abid, Christian Kharif
The stability of an exponential current in water to infinitesimal perturbations in the presence of gravity and capillarity is investigated. Some new results on the generation of gr…
The Cubic Vortical Whitham Equation
John D. Carter, Henrik Kalisch, Christian Kharif +1
The cubic-vortical Whitham equation is a model for wave motion on a vertically sheared current of constant vorticity in a shallow inviscid fluid. It generalizes the classical Whith…
Soliton spectra of random water waves in shallow basins
J. -P. Giovanangeli, C. Kharif, Y. A. Stepanyants
Interpretation of random wave field on a shallow water in terms of Fourier spectra is not adequate, when wave amplitudes are not infinitesimally small. A nonlinearity of wave field…
A nonlinear Schrödinger equation for gravity-capillary water waves on arbitrary depth with constant vorticity: Part I
H. -C. Hsu, C. Kharif, M. Abid +1
A nonlinear Schrödinger equation for the envelope of two-dimensional gravity-capillary waves propagating at the free surface of a vertically sheared current of constant vorticity i…
Nonlinear water waves in shallow water in the presence of constant vorticity: A Whitham approach
Christian Kharif, Malek Abid
Two-dimensional nonlinear gravity waves travelling in shallow water on a vertically sheared current of constant vorticity are considered. Using Euler equations, in the shallow wate…