33 citations · 33 across the 3 of their papers we have counts for
6 papers · 1 filter
On the variation of of bi-periodic waves in the transverse direction
D. M. Henderson, J. D. Carter, M. E. Catalano
Bi-periodic patterns of waves that propagate in the x direction with amplitude variation in the y direction are generated in a laboratory. The amplitude variation in the y directio…
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…
Stability of Periodic, Traveling-Wave Solutions to the Capillary-Whitham Equation
John D. Carter, Morgan Rozman
Recently, the Whitham and capillary-Whitham equations were shown to accurately model the evolution of surface waves on shallow water. In order to gain a deeper understanding of the…
A Comparison of Frequency Downshift Models of Wave Trains on Deep Water
John D. Carter, Diane Henderson, Isabelle Butterfield
Frequency downshift (FD) in wave trains on deep water occurs when a measure of the frequency, typically the spectral peak or the spectral mean, decreases as the waves travel down a…
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,…
Spectral up- and downshifting of Akhmediev breathers under wind forcing
D. Eeltink, A. Lemoine, H. Branger +6
We experimentally and numerically investigate the effect of wind forcing on the spectral dynamics of Akhmediev breathers, a wave-type known to model the modulation instability. We…