John D. Carter

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All published works

Action	Title	Year	Authors
+	The spatial Whitham equation	2024	John D. Carter D. M. Henderson Panayotis Panayotaros
+ PDF Chat	The Spatial Whitham Equation	2024	John D. Carter D. M. Henderson Panayotis Panayotaros
+ PDF Chat	Instability of near‐extreme solutions to the Whitham equation	2023	John D. Carter
+	The superharmonic instability and wave breaking in Whitham equations	2023	John D. Carter Marc Francius Christian Kharif Henrik Kalisch Malek Abid
+	The superharmonic instability and wave breaking in Whitham equations	2023	John D. Carter Marc Francius Christian Kharif Henrik Kalisch Malek Abid
+	Instability of Near-Extreme Solutions to the Whitham Equation	2023	John D. Carter
+ PDF Chat	The cubic vortical Whitham equation	2022	John D. Carter Henrik Kalisch Christian Kharif Malek Abid
+ PDF Chat	The Cubic Vortical Whitham Equation	2022	John D. Carter Henrik Kalisch Christian Kharif Malek Abid
+ PDF Chat	On the variation of bi‐periodic waves in the transverse direction	2021	D. M. Henderson John D. Carter Megan E. Catalano
+ PDF Chat	Dissipative models of swell propagation across the Pacific	2021	Camille Zaug John D. Carter
+ PDF Chat	Fully dispersive Boussinesq models with uneven bathymetry	2021	John D. Carter Evgueni Dinvay Henrik Kalisch
+	On the variation of of bi-periodic waves in the transverse direction	2021	D. M. Henderson John D. Carter Megan E. Catalano
+	The Cubic Vortical Whitham Equation	2021	John D. Carter Henrik Kalisch Christian Kharif Malek Abid
+	Dissipative models of swell propagation across the Pacific	2020	John D. Carter Camille Zaug
+	Modeling the Second Harmonic in Surface Water Waves Using Generalizations of NLS	2020	Hannah Potgieter John D. Carter D. M. Henderson
+	Fully dispersive Boussinesq models with uneven bathymetry	2020	John D. Carter Evgueni Dinvay Henrik Kalisch
+	Dissipative models of swell propagation across the Pacific	2020	Camille Zaug John D. Carter
+ PDF Chat	Stability of Periodic, Traveling-Wave Solutions to the Capillary Whitham Equation	2019	John D. Carter Morgan Rozman
+	Stability of Periodic, Traveling-Wave Solutions to the Capillary-Whitham Equation	2019	John D. Carter Morgan Rozman
+ PDF Chat	A comparison of frequency downshift models of wave trains on deep water	2019	John D. Carter D. M. Henderson Isabelle Butterfield
+	Stability of Periodic, Traveling-Wave Solutions to the Capillary-Whitham Equation	2019	John D. Carter Morgan Rozman
+	Particle trajectories in nonlinear Schrodinger models	2018	John D. Carter Christopher W. Curtis Henrik Kalisch
+ PDF Chat	Bidirectional Whitham equations as models of waves on shallow water	2018	John D. Carter
+	Particle trajectories in nonlinear Schrodinger models	2018	John D. Carter Christopher W. Curtis Henrik Kalisch
+ PDF Chat	Spectral up- and downshifting of Akhmediev breathers under wind forcing	2017	Debbie Eeltink Anne Lemoine Hubert Branger Olivier Kimmoun Christian Kharif John D. Carter Amin Chabchoub Maura Brunetti Jérôme Kasparian
+	Bidirectional Whitham Equations as Models of Waves on Shallow Water.	2017	John D. Carter
+	Bidirectional Whitham Equations as Models of Waves on Shallow Water	2017	John D. Carter
+ PDF Chat	On the nonlinear dynamics of the traveling-wave solutions of the Serre system	2016	Dimitrios Mitsotakis Denys Dutykh John D. Carter
+ PDF Chat	Frequency downshift in a viscous fluid	2016	John D. Carter Alex Govan
+	Improving Student Success in Calculus at Seattle University	2015	John D. Carter David F. Helliwell Allison Henrich M. Principe J. M. Sloughter
+ PDF Chat	Stability of plane-wave solutions of a dissipative generalization of the nonlinear Schrödinger equation	2008	John D. Carter Cynthia C. Contreras
+	A Review of Mathematica 6	2007	John D. Carter
+ PDF Chat	SpectrUW: A laboratory for the numerical exploration of spectra of linear operators	2006	Bernard Deconinck Firat Kiyak John D. Carter J. Nathan Kutz
+ PDF Chat	Instabilities of one-dimensional trivial-phase solutions of the two-dimensional cubic nonlinear Schrödinger equation	2006	John D. Carter Bernard Deconinck
+ PDF Chat	Instabilities of one-dimensional stationary solutions of the cubic nonlinear Schrödinger equation	2005	Roger J. Thelwell John D. Carter Bernard Deconinck
+ PDF Chat	Instabilities in the two-dimensional cubic nonlinear Schrödinger equation	2003	John D. Carter Harvey Segur
+	Instabilities in the two-dimensional cubic nonlinear Schrequation	2003	John D. Carter Harvey Segur
+	The relationship between intelligence and attention in kindergarten children	1992	John D. Carter

Common Coauthors

Coauthor	Papers Together
Henrik Kalisch	9
D. M. Henderson	6
Christian Kharif	6
Malek Abid	5
Morgan Rozman	3
Bernard Deconinck	3
Camille Zaug	3
Christopher W. Curtis	2
Evgueni Dinvay	2
Harvey Segur	2
Megan E. Catalano	2
Marc Francius	2
Panayotis Panayotaros	2
Debbie Eeltink	1
Jérôme Kasparian	1
Amin Chabchoub	1
J. Nathan Kutz	1
Anne Lemoine	1
Olivier Kimmoun	1
Denys Dutykh	1
J. M. Sloughter	1
Hannah Potgieter	1
Dimitrios Mitsotakis	1
M. Principe	1
Roger J. Thelwell	1
Firat Kiyak	1
Cynthia C. Contreras	1
David F. Helliwell	1
Allison Henrich	1
Maura Brunetti	1
Hubert Branger	1
Alex Govan	1
Isabelle Butterfield	1

Commonly Cited References

Action	Title	Year	Authors	# of times referenced
+ PDF Chat	Modulational Instability in the Whitham Equation for Water Waves	2014	Vera Mikyoung Hur Mathew A. Johnson	9
+	The Whitham Equation as a model for surface water waves	2015	Daulet Moldabayev Henrik Kalisch Denys Dutykh	9
+ PDF Chat	Traveling waves for the Whitham equation	2009	Mats Ehrnström Henrik Kalisch	9
+	Construction of higher order symplectic integrators	1990	Haruo Yoshida	8
+ PDF Chat	Bidirectional Whitham equations as models of waves on shallow water	2018	John D. Carter	8
+ PDF Chat	On Whitham's conjecture of a highest cusped wave for a nonlocal dispersive equation	2019	Mats Ehrnström Erik Wahlén	7
+	Computing spectra of linear operators using the Floquet–Fourier–Hill method	2006	Bernard Deconinck J. Nathan Kutz	7
+ PDF Chat	The Whitham equation with surface tension	2017	Evgueni Dinvay Daulet Moldabayev Denys Dutykh Henrik Kalisch	6
+ PDF Chat	Theory of weakly damped free-surface flows: A new formulation based on potential flow solutions	2007	Frédéric Dias Alexander Dyachenko В. Е. Захаров	6
+ PDF Chat	Nonlinear fast growth of water waves under wind forcing	2014	Maura Brunetti Nadège Marchiando Nicolas Berti Jérôme Kasparian	5
+ PDF Chat	Frequency downshift in a viscous fluid	2016	John D. Carter Alex Govan	5
+ PDF Chat	Modulational instability in a full‐dispersion shallow water model	2018	Vera Mikyoung Hur Ashish Kumar Pandey	4
+ PDF Chat	A comparison of frequency downshift models of wave trains on deep water	2019	John D. Carter D. M. Henderson Isabelle Butterfield	4
+ PDF Chat	Stationary solutions of the one-dimensional nonlinear Schrödinger equation. I. Case of repulsive nonlinearity	2000	Lincoln D. Carr Charles W. Clark William P. Reinhardt	4
+ PDF Chat	Whitham modulation theory for generalized Whitham equations and a general criterion for modulational instability	2021	Adam L. Binswanger Mark A. Hoefer Boaz Ilan Patrick Sprenger	4
+	The Korteweg-de Vries equation: a historical essay	1981	John W. Miles	4
+ PDF Chat	Stability of Periodic, Traveling-Wave Solutions to the Capillary Whitham Equation	2019	John D. Carter Morgan Rozman	4
+ PDF Chat	Instabilities in the two-dimensional cubic nonlinear Schrödinger equation	2003	John D. Carter Harvey Segur	4
+	Handbook of Elliptic Integrals for Engineers and Physicists	1954	Paul F. Byrd Morris D. Friedman	4
+ PDF Chat	Modulational instability in wind-forced waves	2014	Maura Brunetti Jérôme Kasparian	3
+ PDF Chat	Nonlinear water waves in shallow water in the presence of constant vorticity: A Whitham approach	2018	Christian Kharif Malek Abid	3
+ PDF Chat	Finite volume and pseudo-spectral schemes for the fully nonlinear 1D Serre equations	2013	Denys Dutykh Didier Clamond Paul A. Milewski Dimitrios Mitsotakis	3
+	Partial differential equations of mathematical physics and integral equations	1996	Ronald B. Guenther John W. Lee	3
+	Wave breaking in the Whitham equation	2017	Vera Mikyoung Hur	3
+	Boussinesq Equations and Other Systems for Small-Amplitude Long Waves in Nonlinear Dispersive Media. I: Derivation and Linear Theory	2002	Jerry L. Bona Chen Chen Saut	3
+ PDF Chat	Numerical bifurcation for the capillary Whitham equation	2016	Filippo Remonato Henrik Kalisch	3
+ PDF Chat	Instabilities of one-dimensional trivial-phase solutions of the two-dimensional cubic nonlinear Schrödinger equation	2006	John D. Carter Bernard Deconinck	3
+ PDF Chat	Soliton stability in plasmas and hydrodynamics	1986	E. A. Kuznetsov Alexander M. Rubenchik В. Е. Захаров	3
+ PDF Chat	Stationary solutions of the one-dimensional nonlinear Schrödinger equation. II. Case of attractive nonlinearity	2000	Lincoln D. Carr Charles W. Clark William P. Reinhardt	3
+	Stability of solitary structures in the nonlinear Schrödinger equation	1989	Kristoffer Rypdal J. Juul Rasmussen	3
+ PDF Chat	The cubic vortical Whitham equation	2022	John D. Carter Henrik Kalisch Christian Kharif Malek Abid	3
+ PDF Chat	KdV cnoidal waves are spectrally stable	2009	Nate Bottman Bernard Deconinck	3
+	Stability and existence of traveling wave solutions of the two-dimensional nonlinear Schrodinger equation and its higher-order generalizations	2001	John David Carter	2
+ PDF Chat	High-frequency instabilities of small-amplitude solutions of Hamiltonian PDEs	2016	Bernard Deconinck Olga Trichtchenko	2
+ PDF Chat	Perturbation Theory for Linear Operators	1995	Tosio Kato	2
+ PDF Chat	Modulational instability in the Whitham equation with surface tension and vorticity	2015	Vera Mikyoung Hur Mathew A. Johnson	2
+ PDF Chat	Wave Breaking in a Shallow Water Model	2018	Vera Mikyoung Hur Lizheng Tao	2
+	Numerical Bifurcation and Spectral Stability of Wavetrains in Bidirectional Whitham Models	2017	Kyle M. Claassen Mathew A. Johnson	2
+	Modulational instability in a full-dispersion shallow water model	2016	Vera Mikyoung Hur Ashish Kumar Pandey	2
+	Gradual damping of solitary waves	1948	Garbis H. Keulegan	2
+	Numerical Study of Nonlinear Dispersive Wave Models with SpecTraVVave	2016	Henrik Kalisch Daulet Moldabayev Olivier Verdier	2
+ PDF Chat	Enhancement of the Benjamin-Feir instability with dissipation	2007	Thomas J. Bridges Frédéric Dias	2
+ PDF Chat	Rogue waves in shallow water in the presence of a vertically sheared current	2017	Christian Kharif Malek Abid Julien Touboul	2
+	Fundamenta nova theoriae functionum ellipticarum	2013	Carl Gustav Jacob Jacobi	2
+ PDF Chat	Analytic model for a weakly dissipative shallow-water undular bore	2005	G. A. Él Roger Grimshaw A. M. Kamchatnov	2
+ PDF Chat	Instability and Evolution of Nonlinearly Interacting Water Waves	2006	P. K. Shukla I. Kourakis B. Eliasson M. Marklund L. Stenflo	2
+ PDF Chat	Observation of swell dissipation across oceans	2009	Fabrice Ardhuin Bertrand Chapron Fabrice Collard	2
+ PDF Chat	Global Bifurcation for the Whitham Equation	2013	Mats Ehrnström Henrik Kalisch	2
+	<i>Theory of Ordinary Differential Equations</i>	1956	Earl A. Coddington Norman Levinson T. Teichmann	2
+ PDF Chat	Numerical Simulation of Strongly Nonlinear and Dispersive Waves Using a Green–Naghdi Model	2010	Florent Chazel David Lannes Fabien Marche	2