John D. Carter
John D. Carter
Professor of Mathematics, Seattle University
Verified email at - Homepage
Cited by
Cited by
Stabilizing the benjamin–feir instability
H Segur, D Henderson, J Carter, J Hammack, CM Li, D Pheiff, K Socha
Journal of Fluid Mechanics 539, 229-271, 2005
Stability of traveling wave solutions to the Whitham equation
N Sanford, K Kodama, JD Carter, H Kalisch
Physics Letters A 378 (30-31), 2100-2107, 2014
Bidirectional Whitham equations as models of waves on shallow water
JD Carter
Wave Motion 82, 51-61, 2018
The kinematics and stability of solitary and cnoidal wave solutions of the Serre equations
JD Carter, R Cienfuegos
European Journal of Mechanics-B/Fluids 30 (3), 259-268, 2011
Transverse instabilities of deep-water solitary waves
B Deconinck, DE Pelinovsky, JD Carter
Proceedings of the Royal Society A: Mathematical, Physical and Engineering …, 2006
SpectrUW: a laboratory for the numerical exploration of spectra of linear operators
B Deconinck, F Kiyak, JD Carter, JN Kutz
Mathematics and Computers in Simulation 74 (4-5), 370-378, 2007
Spectral up-and downshifting of Akhmediev breathers under wind forcing
D Eeltink, A Lemoine, H Branger, O Kimmoun, C Kharif, JD Carter, ...
Physics of Fluids 29 (10), 2017
Instabilities in the two-dimensional cubic nonlinear Schrödinger equation
JD Carter, H Segur
Physical Review E 68 (4), 045601, 2003
Frequency downshift in a viscous fluid
JD Carter, A Govan
European Journal of Mechanics-B/Fluids 59, 177-185, 2016
Experimental evidence of stable wave patterns on deep water
DM Henderson, H Segur, JD Carter
Journal of fluid mechanics 658, 247-278, 2010
Particle paths in nonlinear Schrödinger models in the presence of linear shear currents
CW Curtis, JD Carter, H Kalisch
Journal of Fluid Mechanics 855, 322-350, 2018
On the nonlinear dynamics of the traveling-wave solutions of the Serre system
D Mitsotakis, D Dutykh, J Carter
Wave Motion 70, 166-182, 2017
A comparison of frequency downshift models of wave trains on deep water
JD Carter, D Henderson, I Butterfield
Physics of Fluids 31 (1), 2019
Instabilities of one-dimensional trivial-phase solutions of the two-dimensional cubic nonlinear Schrödinger equation
JD Carter, B Deconinck
Physica D: Nonlinear Phenomena 214 (1), 42-54, 2006
Particle trajectories in nonlinear Schrödinger models
JD Carter, CW Curtis, H Kalisch
Water Waves 2 (1), 31-57, 2020
Stability of plane waves on deep water with dissipation
NE Canney, JD Carter
Mathematics and Computers in Simulation 74 (2-3), 159-167, 2007
Stability of plane-wave solutions of a dissipative generalization of the nonlinear Schrödinger equation
JD Carter, CC Contreras
Physica D: Nonlinear Phenomena 237 (24), 3292-3296, 2008
Stability and existence of traveling wave solutions of the two-dimensional nonlinear Schrödinger equation and its higher-order generalizations
JD Carter
University of Colorado at Boulder, 2001
The cubic vortical Whitham equation
JD Carter, H Kalisch, C Kharif, M Abid
Wave Motion 110, 102883, 2022
Dissipative models of swell propagation across the Pacific
CR Zaug, JD Carter
Studies in Applied Mathematics 147 (4), 1519-1537, 2021
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