David W. McLaughlin - Author Profile

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McLaughlin, David W.

Author ID:	mclaughlin.david-w
Published as:	McLaughlin, David W.; McLaughlin, D. W.; McLaughlin, D.; McLaughlin, David more...less
Homepage:	http://www.math.nyu.edu/faculty/dmac/
External Links:	MGP · Wikidata · IdRef

Documents Indexed:	84 Publications since 1971
	3 Contributions as Editor · 1 Further Contribution
Co-Authors:	59 Co-Authors with 78 Joint Publications
	2,072 Co-Co-Authors

all top 5

Co-Authors

10	single-authored
14	Forest, Mark Gregory
11	Ercolani, Nicholas M.
10	Papanicolaou, George C.
8	Cai, David
7	Shelley, Michael J.
6	Flaschka, Hermann
6	Overman, Edward A. II
5	Pironneau, Olivier
5	Shatah, Jalal
4	Bishop, Alan Reginald
4	Majda, Andrew J.
4	Muraki, David J.
4	Scott, Alwyn C.
3	Li, Y. Charles
3	Moloney, Jerome V.
3	Newell, Alan C.
3	Rangan, Aaditya V.
3	Tabak, Esteban G.
3	Tao, Louis
2	Adachihara, Hatsuo
2	Bronski, Jared C.
2	Burridge, Robert
2	Jin, Shan
2	Keller, Joseph Bishop
2	Levermore, C. David
2	Schober, Constance M.
2	Shapley, Robert
2	Wiggins, Stephen R.
1	Aceves, Alejandro B.
1	Batteh, G. S.
1	Batteh, Jad H.
1	Bègue, Catherine
1	Calini, Annalisa M.
1	Chacon, Tomas
1	Chen, Yuchi
1	Chierchia, Luigi
1	Cushman-Roisin, Benoit
1	Deem, G. S.
1	Ferguson, Warren E. jun.
1	Flesch, Randy
1	Frank, William M.
1	Hermann, Rudolf
1	Hyman, James M.
1	Ikezi, H.
1	Jin, Jim Y.
1	Jones, Christopher K. R. T.
1	Keener, James P.
1	Kovačič, Gregor
1	Lake, Bruce M.
1	Lerman, Juan Carlos
1	Li, Songting
1	Lonngren, Karl E.
1	McLaughlin, Kenneth D. T.-R.
1	Miura, Robert M.
1	Montgomery, Richard
1	Moses, Harry E.
1	Parmentier, Robert D.
1	Pearlstein, Arne J.
1	Powell, John D.
1	Roitner, H.
1	Shkarayev, Maxim S.
1	Strain, John A.
1	Tartar, Luc C.
1	Terrones, Guillermo
1	Wang, Xiao
1	Wang, Ziqi
1	Weinstein, Michael I.
1	Wright, Otis Clarence III
1	Young, Lai-Sang
1	Yuen, Henry C.
1	Zabusky, Norman Julius
1	Zhou, Douglas

all top 5

Serials

14	Physica D
11	Journal of Mathematical Physics
7	Communications on Pure and Applied Mathematics
5	Journal of Nonlinear Science
4	SIAM Journal on Applied Mathematics
3	Communications in Mathematical Sciences
2	Duke Mathematical Journal
2	Studies in Applied Mathematics
2	Journal of Computational Neuroscience
1	American Mathematical Monthly
1	Communications in Mathematical Physics
1	Geophysical and Astrophysical Fluid Dynamics
1	Journal of Computational Physics
1	Journal of Statistical Physics
1	Physics Letters. A
1	Rocky Mountain Journal of Mathematics
1	Mathematics and Computers in Simulation
1	Proceedings of the National Academy of Sciences of the United States of America
1	SIAM Journal on Mathematical Analysis
1	Progress of Theoretical Physics
1	SIAM-AMS Proceedings
1	Surveys in Applied Mathematics

all top 5

Fields

64	Partial differential equations (35-XX)
27	Dynamical systems and ergodic theory (37-XX)
16	Fluid mechanics (76-XX)
8	Numerical analysis (65-XX)
8	Statistical mechanics, structure of matter (82-XX)
8	Biology and other natural sciences (92-XX)
7	Optics, electromagnetic theory (78-XX)
7	Quantum theory (81-XX)
5	Probability theory and stochastic processes (60-XX)
4	General and overarching topics; collections (00-XX)
4	Ordinary differential equations (34-XX)
3	Global analysis, analysis on manifolds (58-XX)
2	Mechanics of particles and systems (70-XX)
2	Mechanics of deformable solids (74-XX)
2	Geophysics (86-XX)
1	History and biography (01-XX)
1	Potential theory (31-XX)
1	Approximations and expansions (41-XX)
1	Integral transforms, operational calculus (44-XX)
1	Operator theory (47-XX)
1	Information and communication theory, circuits (94-XX)

Publications by Year

all cited Publications top 5 cited Publications

Citations contained in zbMATH Open

78 Publications have been cited 1,502 times in 1,034 Documents	Cited by ▼	Year ▼
Multiphase averaging and the inverse spectral solution of the Korteweg-de Vries equation. Zbl 0454.35080 Flaschka, H.; Forest, M. G.; McLaughlin, D. W.	192	1980
Canonically conjugate variables for the Korteweg-de Vries equation and the Toda lattice with periodic boundary conditions. Zbl 1109.35374 Flaschka, H.; McLaughlin, D. W.	100	1976
A one-dimensional model for dispersive wave turbulence. Zbl 0882.76035 Majda, Andrew J.; McLaughlin, David W.; Tabak, Esteban G.	91	1997
The semiclassical limit of the defocusing NLS hierarchy. Zbl 0935.35148 Jin, Shan; Levermore, C. David; McLaughlin, David W.	76	1999
Geometry of the modulational instability. III: Homoclinic orbits for the periodic sine-Gordon equation. Zbl 0705.58026 Ercolani, N.; Forest, M. G.; McLaughlin, David W.	70	1990
Spectral theory for the periodic sine-Gordon equation: A concrete viewpoint. Zbl 0498.35072 Forest, M. Gregory; McLaughlin, David W.	60	1982
Persistent homoclinic orbits for a perturbed nonlinear Schrödinger equation. Zbl 0866.35112 Li, Y.; McLaughlin, David W.; Shatah, Jalal; Wiggins, S.	53	1996
Dispersive wave turbulence in one dimension. Zbl 1049.76035 Cai, David; Majda, Andrew J.; McLaughlin, David W.; Tabak, Esteban G.	42	2001
Convection of microstructure and related problems. Zbl 0622.76062 McLaughlin, D. W.; Papanicolaou, G. C.; Pironneau, O. R.	41	1985
Nonlinear normal modes for the Toda chain. Zbl 0557.70028 Ferguson, W. E. jun.; Flaschka, H.; McLaughlin, D. W.	41	1982
Morse and Melnikov functions for NLS PDE’s. Zbl 0808.35140 Li, Y.; McLaughlin, David W.	37	1994
A quasi-periodic route to chaos in a near-integrable PDE. Zbl 0616.65135 Bishop, A. R.; Forest, M. G.; McLaughlin, D. W.; Overman, E. A. II	35	1986
Nonfocusing instabilities in coupled, integrable nonlinear Schrödinger PDE’s. Zbl 0954.35145 Forest, M. G.; McLaughlin, D. W.; Muraki, D. J.; Wright, O. C.	33	2000
Whiskered tori for integrable PDE’s: Chaotic behavior in near integrable PDE’s. Zbl 0843.35116 McLaughlin, David W.; Overman, Edward A. II	30	1995
Modulations of Sinh-Gordon and Sine-Gordon wavetrains. Zbl 0541.35071 Forest, M. Gregory; McLaughlin, David W.	29	1983
A Green’s function for a linear equation associated with solitons. Zbl 0366.35029 Keener, J. P.; McLaughlin, D. W.	28	1977
Kinetic theory for neuronal network dynamics. Zbl 1107.82037 Cai, David; Tao, Louis; Rangan, Aaditya V.; McLaughlin, David W.	27	2006
Attractors and transients for a perturbed periodic KdV equation: A nonlinear spectral analysis. Zbl 0797.35145 Ercolani, N. M.; McLaughlin, D. W.; Roitner, H.	26	1993
Correlations between chaos in a perturbed sine-Gordon equation and a truncated model system. Zbl 0718.35086 Bishop, Alan R.; Flesch, Randy; Forest, M. Gregory; McLaughlin, David W.; Overman, Edward A.	25	1990
Chaotic and homoclinic behavior for numerical discretizations of the nonlinear Schrödinger equation. Zbl 0760.35045 McLaughlin, David W.; Schober, Constance M.	24	1992
Coherence and chaos in the driven damped sine-Gordon equation: measurement of the soliton spectrum. Zbl 0615.35071 Overman, E. A. II; McLaughlin, D. W.; Bishop, A. R.	23	1986
Mel’nikov analysis of numerically induced chaos in the nonlinear Schrödinger equation. Zbl 0884.35146 Calini, A.; Ercolani, N. M.; McLaughlin, D. W.; Schober, C. M.	22	1996
The behavior of solutions of the NLS equation in the semiclassical limit. Zbl 0849.35130 Jin, Shan; Levermore, C. David; McLaughlin, David W.	22	1994
Solitons in action. Proceedings of a Workshop, sponsored by the Mathematics Division, Army Research Office, held at Redstone Arsenal, October 26-27, 1977. Zbl 0494.76022	21	1978
Spectral bifurcations in dispersive wave turbulence. Zbl 0985.76046 Cai, David; Majda, Andrew J.; McLaughlin, David; Tabak, Esteban G.	20	1999
The Feynman integral. Zbl 0304.35002 Keller, J. B.; McLaughlin, D. W.	19	1975
Homoclinic orbits and chaos in discretized perturbed NLS systems. I: Homoclinic orbits. Zbl 0870.35093 Li, Y.; McLaughlin, D. W.	17	1997
Toward a topological classification of integrable PDE’s. Zbl 0743.58020 Ercolani, Nicholas M.; McLaughlin, David W.	16	1991
A restricted Bäcklund transformation. Zbl 0268.35053 McLaughlin, David W.; Scott, Alwyn C.	15	1973
Stability and bifurcation of spatially coherent solutions of the damped- driven NLS equation. Zbl 0702.58067 Terrones, Guillermo; McLaughlin, David W.; Overman, Edward A.; Pearlstein, Arne J.	15	1990
Hamiltonian structure for the modulation equations of a sine-Gordon wavetrain. Zbl 0668.35064 Ercolani, N.; Forest, M. G.; McLaughlin, D. W.; Montgomery, R.	15	1987
Modulational stability of two-phase sine-Gordon wavetrains. Zbl 0557.35120 Ercolani, Nicholas; Forest, M. Gregory; McLaughlin, David W.	14	1984
Homoclinic orbits in a four dimensional model of a perturbed NLS equation: A geometric singular perturbation study. Zbl 0848.35125 McLaughlin, David W.; Overman, E. A. II; Wiggins, Stephen; Xiong, C.	13	1996
Semiclassical behavior in the NLS equation: Optical shocks – focusing instabilities. Zbl 0849.35127 Bronski, Jared C.; McLaughlin, David W.	12	1994
The nonlinear Schrödinger equation as both a PDE and a dynamical system. Zbl 1004.35111 Cai, David; McLaughlin, David W.; McLaughlin, Kenneth T. R.	12	2002
Four examples of the inverse methods as a canonical transformation. Zbl 0292.35018 McLaughlin, D. W.	10	1975
On Davydov’s alpha-helix solitons. Zbl 1194.37175 Hyman, J. M.; McLaughlin, D. W.; Scott, A. C.	10	1981
Some comments on Bäcklund transformations, canonical transformations, and the inverse scattering method. Zbl 0346.35027 Flaschka, Hermann; McLaughlin, David W.	10	1976
The origin and saturation of modulational instabilities. Zbl 0596.35112 Ercolani, N.; Forest, M. G.; McLaughlin, D. W.	10	1986
Computing the weak limit of KdV. Zbl 0837.65111 McLaughlin, David W.; Strain, John A.	10	1994
Surveys in Applied Mathematics. Vol. 1. Zbl 0834.00016	10	1995
Modulations of perturbed KdV wavetrains. Zbl 0552.35070 Forest, M. Gregory; McLaughlin, David W.	10	1984
Chaos and coherent structures in partial differential equations. Zbl 0596.58029 Aceves, Alejandro; Adachihara, Hatsuo; Jones, Christopher; Lerman, Juan Carlos; McLaughlin, David W.; Moloney, Jerome V.; Newell, Alan C.	9	1986
Modulations of KdV wavetrains. Zbl 1194.35377 McLaughlin, D. W.	8	1981
Spatiotemporal chaos and effective stochastic dynamics for a near-integrable nonlinear system. Zbl 0983.37098 Cai, David; McLaughlin, David W.; Shatah, Jalal	8	1999
Modulational instability of periodic sine Gordon waves: a geometric analysis. Zbl 0597.58011 Ercolani, N. M.; Forest, M. G.; McLaughlin, D. W.	8	1986
Some notes on periodic Beltrami fields in Cartesian geometry. Zbl 0850.76027 McLaughlin, D.; Pironneau, O.	7	1991
Self-focussed optical structures in a nematic liquid crystal. Zbl 1194.82100 McLaughlin, David W.; Muraki, David J.; Shelley, Michael J.	7	1996
Weak limits of semilinear hyperbolic systems with oscillating data. Zbl 0588.76137 McLaughlin, D.; Papanicolaou, G.; Tartar, L.	7	1985
Coarse-grained reduction and analysis of a network model of cortical response. I: Drifting grating stimuli. Zbl 0998.92009 Shelley, Michael; McLaughlin, David	7	2002
Chaotic and turbulent behavior of unstable one-dimensional nonlinear dispersive waves. Zbl 1045.37503 Cai, David; McLaughlin, David W.	7	2000
A paraxial model for optical self-focussing in a nematic liquid crystal. Zbl 0899.76055 McLaughlin, David W.; Muraki, David J.; Shelley, Michael J.; Wang, Xiao	6	1995
Strongly nonlinear modal equations for nearly integrable PDEs. Zbl 0797.35144 Ercolani, N. M.; Forest, M. G.; McLaughlin, D. W.; Sinha, A.	6	1993
Spatiotemporal chaos in spatially extended systems. Zbl 0988.37093 Cai, David; McLaughlin, David W.; Shatah, Jalal	6	2001
A stochastic Gaussian beam. Zbl 0253.60083 Papanicolaou, G. C.; McLaughlin, D.; Burridge, R.	5	1973
Homoclinic orbits for PDE’s. Zbl 0890.35134 McLaughlin, David W.; Shatah, Jalal	5	1998
Erratum: Four examples of the inverse method as a canonical transformation. Zbl 0304.35023 McLaughlin, D. W.	4	1975
Oscillations and instabilities in near integrable PDE’s. Zbl 0605.35079 Ercolani, N.; Forest, M.; McLaughlin, D. W.	4	1986
Focusing singularity for the nonlinear Schrödinger equation. Zbl 0542.35028 Papanicolaou, G.; McLaughlin, D.; Weinstein, M.	3	1983
Melnikov analysis for PDE’s. Zbl 0844.35007 McLaughlin, David W.; Shatah, Jalal	3	1996
Solitary waves as fixed points of infinite-dimensional maps for an optical bistable ring cavity: Analysis. Zbl 0665.35067 Adachihara, H.; McLaughlin, D. W.; Moloney, J. V.; Newell, A. C.	3	1988
Solitary waves as fixed points of infinite-dimensional maps in an optical bistable ring cavity. Zbl 0538.76026 McLaughlin, D. W.; Moloney, J. V.; Newell, A. C.	2	1984
Inverse problems. (Proceedings of the Symposium in Applied Mathematics of the American Mathematical Society and the Society for Industrial and Applied Mathematics, held in New York, April 12-13, 1983). Zbl 0534.00010	2	1984
The phase shift. II: As a continuous functional. Zbl 0225.31005 Frank, William M.; McLaughlin, David W.	2	1971
The role of fluctuations in coarse-grained descriptions of neuronal networks. Zbl 1277.82044 Cai, David; Kovačič, Gregor; McLaughlin, David W.; Rangan, Aaditya V.; Shkarayev, Maxim S.; Tao, Louis	2	2012
Whiskered tori for NLS equations. Zbl 0813.35115 McLaughlin, D. W.	2	1993
On the construction of a modulating multiphase wavetrain for a perturbed KdV equation. Zbl 0617.35114 McLaughlin, David W.	2	1986
Mathematical modeling and analysis of spatial neuron dynamics: dendritic integration and beyond. Zbl 1530.92027 Li, Songting; McLaughlin, David W.; Zhou, Douglas	2	2023
Convection of microstructure. Zbl 0519.76046 McLaughlin, D.; Papanicolaou, G.; Pironneau, O.	1	1982
A stochastic Gaussian beam. II. Zbl 0297.60055 McLaughlin, D. W.	1	1975
Introduction to mathematical techniques for continuous problems. Zbl 0396.35076 Flaschka, H.; McLaughlin, D. W.	1	1978
On the stability of time-harmonic localized states in a disordered nonlinear medium. Zbl 0945.82561 Bronski, Jared C.; McLaughlin, David W.; Shelley, Michael J.	1	1997
Whiskered tori and chaotic behavior in nonlinear waves. Zbl 0848.58031 McLaughlin, David W.	1	1995
Convection of microstructures. II. Zbl 0599.76068 Bègue, C.; Chacon, T.; McLaughlin, D. W.; Papanicolaou, G. C.; Pironneau, O.	1	1984
Modulations in the leading edges of midlatitude storm tracks. Zbl 0989.86007 Goodman, R. H.; Majda, A. J.; McLaughlin, D. W.	1	2001
Conference on the theory and application of solitons, held in Tucson, Arizona, January 5-10, 1976. Zbl 0391.00009	1	1978
On the weak limit of rapidly oscillating waves. Zbl 0646.73016 Chierchia, L.; Ercolani, N.; McLaughlin, D.	1	1987
Interactions between mean flow and finite-amplitude mesoscale eddies in a barotropic ocean. Zbl 0558.76024 Cushman-Roisin, Benoit; McLaughlin, David W.; Papanicolaou, George	1	1984
Mathematical modeling and analysis of spatial neuron dynamics: dendritic integration and beyond. Zbl 1530.92027 Li, Songting; McLaughlin, David W.; Zhou, Douglas	2	2023
The role of fluctuations in coarse-grained descriptions of neuronal networks. Zbl 1277.82044 Cai, David; Kovačič, Gregor; McLaughlin, David W.; Rangan, Aaditya V.; Shkarayev, Maxim S.; Tao, Louis	2	2012
Kinetic theory for neuronal network dynamics. Zbl 1107.82037 Cai, David; Tao, Louis; Rangan, Aaditya V.; McLaughlin, David W.	27	2006
The nonlinear Schrödinger equation as both a PDE and a dynamical system. Zbl 1004.35111 Cai, David; McLaughlin, David W.; McLaughlin, Kenneth T. R.	12	2002
Coarse-grained reduction and analysis of a network model of cortical response. I: Drifting grating stimuli. Zbl 0998.92009 Shelley, Michael; McLaughlin, David	7	2002
Dispersive wave turbulence in one dimension. Zbl 1049.76035 Cai, David; Majda, Andrew J.; McLaughlin, David W.; Tabak, Esteban G.	42	2001
Spatiotemporal chaos in spatially extended systems. Zbl 0988.37093 Cai, David; McLaughlin, David W.; Shatah, Jalal	6	2001
Modulations in the leading edges of midlatitude storm tracks. Zbl 0989.86007 Goodman, R. H.; Majda, A. J.; McLaughlin, D. W.	1	2001
Nonfocusing instabilities in coupled, integrable nonlinear Schrödinger PDE’s. Zbl 0954.35145 Forest, M. G.; McLaughlin, D. W.; Muraki, D. J.; Wright, O. C.	33	2000
Chaotic and turbulent behavior of unstable one-dimensional nonlinear dispersive waves. Zbl 1045.37503 Cai, David; McLaughlin, David W.	7	2000
The semiclassical limit of the defocusing NLS hierarchy. Zbl 0935.35148 Jin, Shan; Levermore, C. David; McLaughlin, David W.	76	1999
Spectral bifurcations in dispersive wave turbulence. Zbl 0985.76046 Cai, David; Majda, Andrew J.; McLaughlin, David; Tabak, Esteban G.	20	1999
Spatiotemporal chaos and effective stochastic dynamics for a near-integrable nonlinear system. Zbl 0983.37098 Cai, David; McLaughlin, David W.; Shatah, Jalal	8	1999
Homoclinic orbits for PDE’s. Zbl 0890.35134 McLaughlin, David W.; Shatah, Jalal	5	1998
A one-dimensional model for dispersive wave turbulence. Zbl 0882.76035 Majda, Andrew J.; McLaughlin, David W.; Tabak, Esteban G.	91	1997
Homoclinic orbits and chaos in discretized perturbed NLS systems. I: Homoclinic orbits. Zbl 0870.35093 Li, Y.; McLaughlin, D. W.	17	1997
On the stability of time-harmonic localized states in a disordered nonlinear medium. Zbl 0945.82561 Bronski, Jared C.; McLaughlin, David W.; Shelley, Michael J.	1	1997
Persistent homoclinic orbits for a perturbed nonlinear Schrödinger equation. Zbl 0866.35112 Li, Y.; McLaughlin, David W.; Shatah, Jalal; Wiggins, S.	53	1996
Mel’nikov analysis of numerically induced chaos in the nonlinear Schrödinger equation. Zbl 0884.35146 Calini, A.; Ercolani, N. M.; McLaughlin, D. W.; Schober, C. M.	22	1996
Homoclinic orbits in a four dimensional model of a perturbed NLS equation: A geometric singular perturbation study. Zbl 0848.35125 McLaughlin, David W.; Overman, E. A. II; Wiggins, Stephen; Xiong, C.	13	1996
Self-focussed optical structures in a nematic liquid crystal. Zbl 1194.82100 McLaughlin, David W.; Muraki, David J.; Shelley, Michael J.	7	1996
Melnikov analysis for PDE’s. Zbl 0844.35007 McLaughlin, David W.; Shatah, Jalal	3	1996
Whiskered tori for integrable PDE’s: Chaotic behavior in near integrable PDE’s. Zbl 0843.35116 McLaughlin, David W.; Overman, Edward A. II	30	1995
Surveys in Applied Mathematics. Vol. 1. Zbl 0834.00016	10	1995
A paraxial model for optical self-focussing in a nematic liquid crystal. Zbl 0899.76055 McLaughlin, David W.; Muraki, David J.; Shelley, Michael J.; Wang, Xiao	6	1995
Whiskered tori and chaotic behavior in nonlinear waves. Zbl 0848.58031 McLaughlin, David W.	1	1995
Morse and Melnikov functions for NLS PDE’s. Zbl 0808.35140 Li, Y.; McLaughlin, David W.	37	1994
The behavior of solutions of the NLS equation in the semiclassical limit. Zbl 0849.35130 Jin, Shan; Levermore, C. David; McLaughlin, David W.	22	1994
Semiclassical behavior in the NLS equation: Optical shocks – focusing instabilities. Zbl 0849.35127 Bronski, Jared C.; McLaughlin, David W.	12	1994
Computing the weak limit of KdV. Zbl 0837.65111 McLaughlin, David W.; Strain, John A.	10	1994
Attractors and transients for a perturbed periodic KdV equation: A nonlinear spectral analysis. Zbl 0797.35145 Ercolani, N. M.; McLaughlin, D. W.; Roitner, H.	26	1993
Strongly nonlinear modal equations for nearly integrable PDEs. Zbl 0797.35144 Ercolani, N. M.; Forest, M. G.; McLaughlin, D. W.; Sinha, A.	6	1993
Whiskered tori for NLS equations. Zbl 0813.35115 McLaughlin, D. W.	2	1993
Chaotic and homoclinic behavior for numerical discretizations of the nonlinear Schrödinger equation. Zbl 0760.35045 McLaughlin, David W.; Schober, Constance M.	24	1992
Toward a topological classification of integrable PDE’s. Zbl 0743.58020 Ercolani, Nicholas M.; McLaughlin, David W.	16	1991
Some notes on periodic Beltrami fields in Cartesian geometry. Zbl 0850.76027 McLaughlin, D.; Pironneau, O.	7	1991
Geometry of the modulational instability. III: Homoclinic orbits for the periodic sine-Gordon equation. Zbl 0705.58026 Ercolani, N.; Forest, M. G.; McLaughlin, David W.	70	1990
Correlations between chaos in a perturbed sine-Gordon equation and a truncated model system. Zbl 0718.35086 Bishop, Alan R.; Flesch, Randy; Forest, M. Gregory; McLaughlin, David W.; Overman, Edward A.	25	1990
Stability and bifurcation of spatially coherent solutions of the damped- driven NLS equation. Zbl 0702.58067 Terrones, Guillermo; McLaughlin, David W.; Overman, Edward A.; Pearlstein, Arne J.	15	1990
Solitary waves as fixed points of infinite-dimensional maps for an optical bistable ring cavity: Analysis. Zbl 0665.35067 Adachihara, H.; McLaughlin, D. W.; Moloney, J. V.; Newell, A. C.	3	1988
Hamiltonian structure for the modulation equations of a sine-Gordon wavetrain. Zbl 0668.35064 Ercolani, N.; Forest, M. G.; McLaughlin, D. W.; Montgomery, R.	15	1987
On the weak limit of rapidly oscillating waves. Zbl 0646.73016 Chierchia, L.; Ercolani, N.; McLaughlin, D.	1	1987
A quasi-periodic route to chaos in a near-integrable PDE. Zbl 0616.65135 Bishop, A. R.; Forest, M. G.; McLaughlin, D. W.; Overman, E. A. II	35	1986
Coherence and chaos in the driven damped sine-Gordon equation: measurement of the soliton spectrum. Zbl 0615.35071 Overman, E. A. II; McLaughlin, D. W.; Bishop, A. R.	23	1986
The origin and saturation of modulational instabilities. Zbl 0596.35112 Ercolani, N.; Forest, M. G.; McLaughlin, D. W.	10	1986
Chaos and coherent structures in partial differential equations. Zbl 0596.58029 Aceves, Alejandro; Adachihara, Hatsuo; Jones, Christopher; Lerman, Juan Carlos; McLaughlin, David W.; Moloney, Jerome V.; Newell, Alan C.	9	1986
Modulational instability of periodic sine Gordon waves: a geometric analysis. Zbl 0597.58011 Ercolani, N. M.; Forest, M. G.; McLaughlin, D. W.	8	1986
Oscillations and instabilities in near integrable PDE’s. Zbl 0605.35079 Ercolani, N.; Forest, M.; McLaughlin, D. W.	4	1986
On the construction of a modulating multiphase wavetrain for a perturbed KdV equation. Zbl 0617.35114 McLaughlin, David W.	2	1986
Convection of microstructure and related problems. Zbl 0622.76062 McLaughlin, D. W.; Papanicolaou, G. C.; Pironneau, O. R.	41	1985
Weak limits of semilinear hyperbolic systems with oscillating data. Zbl 0588.76137 McLaughlin, D.; Papanicolaou, G.; Tartar, L.	7	1985
Modulational stability of two-phase sine-Gordon wavetrains. Zbl 0557.35120 Ercolani, Nicholas; Forest, M. Gregory; McLaughlin, David W.	14	1984
Modulations of perturbed KdV wavetrains. Zbl 0552.35070 Forest, M. Gregory; McLaughlin, David W.	10	1984
Solitary waves as fixed points of infinite-dimensional maps in an optical bistable ring cavity. Zbl 0538.76026 McLaughlin, D. W.; Moloney, J. V.; Newell, A. C.	2	1984
Inverse problems. (Proceedings of the Symposium in Applied Mathematics of the American Mathematical Society and the Society for Industrial and Applied Mathematics, held in New York, April 12-13, 1983). Zbl 0534.00010	2	1984
Convection of microstructures. II. Zbl 0599.76068 Bègue, C.; Chacon, T.; McLaughlin, D. W.; Papanicolaou, G. C.; Pironneau, O.	1	1984
Interactions between mean flow and finite-amplitude mesoscale eddies in a barotropic ocean. Zbl 0558.76024 Cushman-Roisin, Benoit; McLaughlin, David W.; Papanicolaou, George	1	1984
Modulations of Sinh-Gordon and Sine-Gordon wavetrains. Zbl 0541.35071 Forest, M. Gregory; McLaughlin, David W.	29	1983
Focusing singularity for the nonlinear Schrödinger equation. Zbl 0542.35028 Papanicolaou, G.; McLaughlin, D.; Weinstein, M.	3	1983
Spectral theory for the periodic sine-Gordon equation: A concrete viewpoint. Zbl 0498.35072 Forest, M. Gregory; McLaughlin, David W.	60	1982
Nonlinear normal modes for the Toda chain. Zbl 0557.70028 Ferguson, W. E. jun.; Flaschka, H.; McLaughlin, D. W.	41	1982
Convection of microstructure. Zbl 0519.76046 McLaughlin, D.; Papanicolaou, G.; Pironneau, O.	1	1982
On Davydov’s alpha-helix solitons. Zbl 1194.37175 Hyman, J. M.; McLaughlin, D. W.; Scott, A. C.	10	1981
Modulations of KdV wavetrains. Zbl 1194.35377 McLaughlin, D. W.	8	1981
Multiphase averaging and the inverse spectral solution of the Korteweg-de Vries equation. Zbl 0454.35080 Flaschka, H.; Forest, M. G.; McLaughlin, D. W.	192	1980
Solitons in action. Proceedings of a Workshop, sponsored by the Mathematics Division, Army Research Office, held at Redstone Arsenal, October 26-27, 1977. Zbl 0494.76022	21	1978
Introduction to mathematical techniques for continuous problems. Zbl 0396.35076 Flaschka, H.; McLaughlin, D. W.	1	1978
Conference on the theory and application of solitons, held in Tucson, Arizona, January 5-10, 1976. Zbl 0391.00009	1	1978
A Green’s function for a linear equation associated with solitons. Zbl 0366.35029 Keener, J. P.; McLaughlin, D. W.	28	1977
Canonically conjugate variables for the Korteweg-de Vries equation and the Toda lattice with periodic boundary conditions. Zbl 1109.35374 Flaschka, H.; McLaughlin, D. W.	100	1976
Some comments on Bäcklund transformations, canonical transformations, and the inverse scattering method. Zbl 0346.35027 Flaschka, Hermann; McLaughlin, David W.	10	1976
The Feynman integral. Zbl 0304.35002 Keller, J. B.; McLaughlin, D. W.	19	1975
Four examples of the inverse methods as a canonical transformation. Zbl 0292.35018 McLaughlin, D. W.	10	1975
Erratum: Four examples of the inverse method as a canonical transformation. Zbl 0304.35023 McLaughlin, D. W.	4	1975
A stochastic Gaussian beam. II. Zbl 0297.60055 McLaughlin, D. W.	1	1975
A restricted Bäcklund transformation. Zbl 0268.35053 McLaughlin, David W.; Scott, Alwyn C.	15	1973
A stochastic Gaussian beam. Zbl 0253.60083 Papanicolaou, G. C.; McLaughlin, D.; Burridge, R.	5	1973
The phase shift. II: As a continuous functional. Zbl 0225.31005 Frank, William M.; McLaughlin, David W.	2	1971

all cited Publications top 5 cited Publications

all top 5

Cited by 1,302 Authors

29	McLaughlin, David W.
23	El, Gennady A.
21	Schober, Constance M.
17	Forest, Mark Gregory
17	Hoefer, Mark A.
17	Wright, Otis Clarence III
14	Ablowitz, Mark Jay
14	Ercolani, Nicholas M.
12	Li, Y. Charles
12	Miller, Peter D.
12	Tovbis, Alexander
11	Kamchatnov, Anatoly M.
11	Kappeler, Thomas
11	Majda, Andrew J.
11	Osborne, Alfred R.
10	Smyth, Noel Frederick
9	Levermore, C. David
8	Bikbaev, Ramil’ F.
8	Calini, Annalisa M.
8	Dubrovin, Boris Anatol’evich
8	Grava, Tamara
8	Guo, Boling
8	Konopelchenko, Boris Georgievich
8	Lin, Chikun
7	Bronski, Jared C.
7	Cai, David
7	Grinevich, Pëtr Georgievich
7	Islas, Alvaro L.
7	Johnson, Mathew A.
7	Kuksin, Sergeĭ B.
7	Newell, Alan C.
7	Tao, Louis
7	Topalov, Peter J.
6	Avellaneda, Marco
6	Mal’tsev, Andreĭ Yakovlevich
6	Maslov, Viktor Pavlovich
6	Naumkin, Pavel Ivanovich
6	Ponno, Antonio
6	Shafarevich, Andreĭ Igorevich
6	Venakides, Stephanos
6	Zakharov, Vladimir Evgen’evich
5	Benettin, Giancarlo
5	Bishop, Alan Reginald
5	Dai, Zhengde
5	Dobrokhotov, Sergei Yurievich
5	Enolskiĭ, Viktor Zelikovich
5	Geng, Xianguo
5	Gesztesy, Fritz
5	Grooms, Ian G.
5	Huang, Nianning
5	Jin, Shi
5	Korotyaev, Evgeny L.
5	Krichever, Igor’ Moiseevich
5	Rangan, Aaditya V.
5	Sapsis, Themistoklis P.
5	Shatah, Jalal
5	Simon, Barry
5	Skrypnyk, Taras Volodymyrovych
5	Tian, Fei-Ran
5	Wiggins, Stephen R.
4	Bambusi, Dario
4	Belokolos, Eugene D.
4	Biondini, Gino
4	Bobenko, Alexander Ivanovich
4	Bridges, Thomas J.
4	Camassa, Roberto
4	Chang, Qianshun
4	Congy, Thibault
4	Gerard, Patrick
4	Grimshaw, Roger Hamilton James
4	Haller, George
4	Hani, Zaher
4	Hayashi, Nakao
4	Klein, Christian
4	Kovačič, Gregor
4	Lenzmann, Enno
4	Markowich, Peter Alexander
4	Marsden, Jerrold Eldon
4	McLaughlin, Kenneth D. T.-R.
4	McLaughlin, Richard M.
4	Novokshenov, Viktor Yur’evich
4	Pashaev, Oktay K.
4	Pavlov, Maxim V.
4	Rodrigues, Luis Miguel
4	Roy Chowdhury, Asesh
4	Samoĭlenko, Yuliya Ivanivna
4	Samoĭlenko, Valeriĭ Grygorovych
4	Santini, Paolo Maria
4	Sun, Jianqing
4	Tabak, Esteban G.
4	Vereschagin, Vadim L.
4	Wang, Dengshan
4	Wu, Ranchao
4	Young, Lai-Sang
4	Zeng, Chongchun
4	Zhang, Yingnan
4	Zhou, Xin
4	Zumbrun, Kevin R.
3	Barashenkov, Igor V.
3	Bardos, Claude Williams
...and 1,202 more Authors

all top 5

Cited in 201 Serials

147	Physica D
57	Journal of Mathematical Physics
50	Physics Letters. A
44	Communications in Mathematical Physics
32	Journal of Computational Physics
27	Theoretical and Mathematical Physics
27	Chaos, Solitons and Fractals
22	Studies in Applied Mathematics
22	Journal of Nonlinear Science
17	Journal of Differential Equations
16	Chaos
15	Communications on Pure and Applied Mathematics
14	Nonlinearity
14	Journal of Physics A: Mathematical and Theoretical
13	Communications in Nonlinear Science and Numerical Simulation
12	Wave Motion
11	Journal of Statistical Physics
11	Mathematical Notes
11	Mathematics and Computers in Simulation
9	Journal of Fluid Mechanics
9	Journal of Mathematical Analysis and Applications
9	Letters in Mathematical Physics
9	Duke Mathematical Journal
9	Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
9	Applied Mathematics and Mechanics. (English Edition)
9	Communications in Partial Differential Equations
9	Physics of Fluids
9	Journal of Computational Neuroscience
8	Archive for Rational Mechanics and Analysis
8	ZAMP. Zeitschrift für angewandte Mathematik und Physik
8	Applied Mathematics and Computation
8	Functional Analysis and its Applications
8	Applied Mathematics Letters
8	International Journal of Bifurcation and Chaos in Applied Sciences and Engineering
7	SIAM Journal on Mathematical Analysis
7	Journal of Mathematical Sciences (New York)
6	International Journal of Theoretical Physics
6	Inventiones Mathematicae
6	Transactions of the American Mathematical Society
6	Annales de l’Institut Henri Poincaré. Analyse Non Linéaire
6	Annals of Physics
5	Computers & Mathematics with Applications
5	Journal of Mathematical Biology
5	Nuclear Physics. B
5	Journal of Computational and Applied Mathematics
5	Journal of Soviet Mathematics
5	Mathematische Annalen
5	European Journal of Mechanics. B. Fluids
5	Journal of Nonlinear Mathematical Physics
5	Discrete and Continuous Dynamical Systems. Series B
4	Journal d’Analyse Mathématique
4	Physics of Fluids, A
4	Journal of Geometry and Physics
4	Journal of Functional Analysis
4	Applied Numerical Mathematics
4	M\(^3\)AS. Mathematical Models & Methods in Applied Sciences
4	Applied Mathematical Modelling
4	Discrete and Continuous Dynamical Systems
3	Modern Physics Letters A
3	Applicable Analysis
3	Computer Methods in Applied Mechanics and Engineering
3	Physica A
3	Physics Reports
3	Ukrainian Mathematical Journal
3	Bulletin of Mathematical Biology
3	Memoirs of the American Mathematical Society
3	Proceedings of the American Mathematical Society
3	Quarterly of Applied Mathematics
3	Mathematical and Computer Modelling
3	Japan Journal of Industrial and Applied Mathematics
3	Proceedings of the National Academy of Sciences of the United States of America
3	Bulletin of the American Mathematical Society. New Series
3	Journal of Dynamics and Differential Equations
3	Journal of High Energy Physics
3	Acta Numerica
3	Journal of Statistical Mechanics: Theory and Experiment
3	Chinese Journal of Physics (Taipei)
3	Nonlinear Analysis. Theory, Methods & Applications
3	Séminaire Laurent Schwartz. EDP et Applications
2	International Journal of Modern Physics B
2	Biological Cybernetics
2	Computer Physics Communications
2	Acta Mathematica
2	Advances in Mathematics
2	Annales de l’Institut Fourier
2	Numerical Functional Analysis and Optimization
2	Acta Applicandae Mathematicae
2	Journal of the American Mathematical Society
2	Neural Computation
2	Journal de Mathématiques Pures et Appliquées. Neuvième Série
2	SIAM Journal on Applied Mathematics
2	Calculus of Variations and Partial Differential Equations
2	Russian Journal of Mathematical Physics
2	International Journal of Numerical Methods for Heat & Fluid Flow
2	Mathematical Problems in Engineering
2	Nonlinear Dynamics
2	Abstract and Applied Analysis
2	Mathematical Physics, Analysis and Geometry
2	Regular and Chaotic Dynamics
2	Acta Mathematica Sinica. English Series
...and 101 more Serials

all top 5

Cited in 44 Fields

693	Partial differential equations (35-XX)
368	Dynamical systems and ergodic theory (37-XX)
216	Fluid mechanics (76-XX)
114	Quantum theory (81-XX)
106	Numerical analysis (65-XX)
77	Statistical mechanics, structure of matter (82-XX)
76	Ordinary differential equations (34-XX)
44	Biology and other natural sciences (92-XX)
37	Optics, electromagnetic theory (78-XX)
34	Probability theory and stochastic processes (60-XX)
34	Mechanics of particles and systems (70-XX)
30	Global analysis, analysis on manifolds (58-XX)
28	Differential geometry (53-XX)
27	Operator theory (47-XX)
24	Algebraic geometry (14-XX)
21	Mechanics of deformable solids (74-XX)
19	Geophysics (86-XX)
11	Difference and functional equations (39-XX)
9	Functions of a complex variable (30-XX)
9	Special functions (33-XX)
9	Harmonic analysis on Euclidean spaces (42-XX)
8	Real functions (26-XX)
8	Computer science (68-XX)
7	Potential theory (31-XX)
6	Nonassociative rings and algebras (17-XX)
6	Relativity and gravitational theory (83-XX)
5	Linear and multilinear algebra; matrix theory (15-XX)
5	Measure and integration (28-XX)
5	Calculus of variations and optimal control; optimization (49-XX)
5	Statistics (62-XX)
5	Systems theory; control (93-XX)
4	General and overarching topics; collections (00-XX)
4	Integral equations (45-XX)
3	History and biography (01-XX)
3	Functional analysis (46-XX)
3	Classical thermodynamics, heat transfer (80-XX)
3	Game theory, economics, finance, and other social and behavioral sciences (91-XX)
2	Combinatorics (05-XX)
2	Several complex variables and analytic spaces (32-XX)
2	Approximations and expansions (41-XX)
2	Astronomy and astrophysics (85-XX)
2	Information and communication theory, circuits (94-XX)
1	Topological groups, Lie groups (22-XX)
1	Manifolds and cell complexes (57-XX)

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