17 citations · 19 across the 5 of their papers we have counts for
5 papers
The Spatial Whitham Equation
John D. Carter, Diane Henderson, Panayotis Panayotaros
The Whitham equation is a nonlocal, nonlinear partial differential equation that models the temporal evolution of spatial profiles of surface displacement of water waves. However,…
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…
Modeling the Second Harmonic in Surface Water Waves Using Generalizations of NLS
Hannah Potgieter, John D. Carter, Diane M. Henderson
When a mechanical wavemaker at one end of a water-wave tank oscillates with a frequency, , time series of downstream surface waves typically include the dominant frequency (or…
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…
Recovering the Water-Wave Profile from Pressure Measurements
Katie Oliveras, Vishal Vasan, Bernard Deconinck +1
A new method is proposed to recover the water-wave surface elevation from pressure data obtained at the bottom of the fluid. The new method requires the numerical solution of a non…