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Newell, Alan C.

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Author ID: newell.alan-c Recent zbMATH articles by "Newell, Alan C."
Published as: Newell, Alan C.; Newell, A. C.; Newell, Alan; Newell, A.
Homepage: https://www.math.arizona.edu/~anewell/
External Links: MGP · Wikidata · GND · IdRef · theses.fr
Documents Indexed: 121 Publications since 1963, including 4 Books and 3 Additional arXiv Preprints
3 Contributions as Editor · 3 Further Contributions
Co-Authors: 68 Co-Authors with 101 Joint Publications
1,520 Co-Co-Authors
all top 5

Co-Authors

23 single-authored
9 Passot, Thierry
8 Flaschka, Hermann
8 Moloney, Jerome V.
6 Indik, Robert A.
6 Nazarenko, Sergeĭ Vital’evich
6 Shipman, Patrick D.
5 Ablowitz, Mark Jay
5 Kaup, David J.
4 Benney, David J.
4 Biven, Laura J.
4 Connaughton, Colm P.
4 Ercolani, Nicholas M.
4 Lange, Charles G.
4 Rumpf, Benno
4 Venkataramani, Shankar C.
4 Zakharov, Vladimir Evgen’evich
3 Knickerbocker, C. J.
3 Komarova, Natalia L.
3 McLaughlin, David W.
3 Pomeau, Yves
3 Rand, David A.
3 Ratiu, Tudor Stefan
3 Segur, Harvey
3 Souli, Mohammad
3 Tabor, Michael
3 Zeng, Yunbo
2 Adachihara, Hatsuo
2 Aucoin, P. J.
2 Bowman, Christopher S.
2 Briggs, William L.
2 Dyachenko, Sergey A.
2 Galtier, Sébastien
2 Gibbon, John D.
2 Kücken, Michael
2 Kuznetsov, Evgeniĭ Aleksandrovich
2 Lega, J.
2 Lvov, Yuri V.
2 Pennybacker, Matthew F.
2 Sarie, Talib H.
2 Whitehead, J. A. jun.
1 Aceves, Alejandro B.
1 Acharya, Amit
1 Arter, Wayne
1 Assenheimer, Michel
1 Banks, Jeffrey W.
1 Binder, Raquel A.
1 Bishop, Alan Reginald
1 Bona, Jerry Lloyd
1 Brand, Helmut R.
1 Broomhead, David S.
1 Bullough, Robin K.
1 Bush, Robert R.
1 Calogero, Francesco A.
1 Campbell, David K.
1 Cross, Michael C.
1 Degasperis, Antonio
1 Dodd, Roger K.
1 Eilbeck, John Chris
1 Funk, B. A.
1 Galanter, Eugene H.
1 Grenader, U.
1 Haken, Hermann
1 Henshaw, William D.
1 Jakobsen, Per Kristen
1 Jones, Christopher K. R. T.
1 Karney, Charles F. F.
1 Keizer, Joel E.
1
1 Knickerbocker, Collen
1 Kohonen, Teuvo
1 Kremeyer, Kevin
1 Krumhansl, James A.
1 Lerman, Juan Carlos
1 Lomdahl, Peter S.
1 Luce, Robert Duncan
1 Luther, Gregory G.
1 Marchand, Audrey
1 McGill, William J.
1 Mikhailov, Alexander Vasil’evich
1 Pacault, Adolphe
1 Pushkarev, Andrei N.
1 Roberts, David C.
1 Schrieffer, Robert J.
1 Schwendeman, Donald William
1 Sun, Zhiying
1 Suppes, Patrick
1 Tabors, M.
1 Taha, Thiab R.
1 Wenden, S. G.
1 Yunbo, Zeng
1 Zhang, Chiqun
1 Zinnes, Joseph L.
all top 5

Serials

32 Physica D
8 Journal of Fluid Mechanics
6 Journal of Mathematical Physics
6 Studies in Applied Mathematics
5 SIAM Journal on Applied Mathematics
3 Physics Letters. A
3 Journal of Theoretical Biology
2 Journal of Applied Mechanics
2 Journal of Computational Physics
2 Journal of Statistical Physics
2 Nonlinearity
2 Physics of Fluids
2 Physical Review Letters
2 Journal of Mathematics and Physics
1 Applicable Analysis
1 Applied Scientific Research
1 Communications in Mathematical Physics
1 IMA Journal of Applied Mathematics
1 Journal of Mathematical Analysis and Applications
1 Physics Letters. B
1 Rocky Mountain Journal of Mathematics
1 Advances in Mathematics
1 Mathematics and Computers in Simulation
1 European Journal of Mechanics. B. Fluids
1 Journal of Physics A: Mathematical and General
1 Proceedings of the Royal Society of London. Series A. Mathematical and Physical Sciences
1 Journal of Nonlinear Science
1 European Journal of Mechanics. B. Fluids
1 Analysis and Applications (Singapore)
1 CBMS-NSF Regional Conference Series in Applied Mathematics
1 Lectures in Applied Mathematics
1 Séminaire de Mathématiques Supérieures. Séminaire Scientifique OTAN (NATO Advanced Study Institute)
1 Springer Series in Solid-State Sciences
1 Springer Series in Synergetics
all top 5

Fields

60 Partial differential equations (35-XX)
56 Fluid mechanics (76-XX)
13 Dynamical systems and ergodic theory (37-XX)
11 Numerical analysis (65-XX)
10 Optics, electromagnetic theory (78-XX)
8 Quantum theory (81-XX)
7 Biology and other natural sciences (92-XX)
6 General and overarching topics; collections (00-XX)
6 Mechanics of particles and systems (70-XX)
6 Mechanics of deformable solids (74-XX)
4 Ordinary differential equations (34-XX)
4 Statistical mechanics, structure of matter (82-XX)
3 Nonassociative rings and algebras (17-XX)
3 Global analysis, analysis on manifolds (58-XX)
3 Classical thermodynamics, heat transfer (80-XX)
3 Geophysics (86-XX)
2 Integral equations (45-XX)
2 Relativity and gravitational theory (83-XX)
2 Astronomy and astrophysics (85-XX)
2 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
1 History and biography (01-XX)
1 Number theory (11-XX)
1 Measure and integration (28-XX)
1 Difference and functional equations (39-XX)
1 Operator theory (47-XX)
1 Computer science (68-XX)
1 Information and communication theory, circuits (94-XX)

Publications by Year

all cited Publications top 5 cited Publications

Citations contained in zbMATH Open

111 Publications have been cited 4,684 times in 3,730 Documents Cited by ▼ Year ▼
The inverse scattering transform-Fourier analysis for nonlinear problems. Zbl 0408.35068
Ablowitz, Mark J.; Kaup, David J.; Newell, Alan C.; Segur, Harvey
1,052
1974
An exact solution for a derivative nonlinear Schrödinger equation. Zbl 0383.35015
Kaup, David J.; Newell, Alan C.
495
1978
Solitons in mathematics and physics. Zbl 0565.35003
Newell, Alan C.
468
1985
Finite bandwidth, finite amplitude convection. Zbl 0187.25102
Newell, A. C.; Whitehead, J. A.
376
1969
Nonlinear-evolution equations of physical significance. Zbl 1243.35143
Ablowitz, Mark J.; Kaup, David J.; Newell, Alan C.; Segur, Harvey
354
1973
The propagation of nonlinear wave envelopes. Zbl 0153.30301
Benney, D. J.; Newell, A. C.
239
1967
Monodromy- and spectrum-preserving deformations. I. Zbl 0439.34005
Flaschka, Hermann; Newell, Alan C.
218
1980
Optical turbulence: weak turbulence, condensates and collapsing filaments in the nonlinear Schrödinger equation. Zbl 0767.35082
Dyachenko, S.; Newell, A. C.; Pushkarev, A.; Zakharov, V. E.
106
1992
Handbook of mathematical psychology. Vol. I, Chapters 1–8. Zbl 0128.39901
95
1963
Kac-Moody Lie algebras and soliton equations. II: Lax equations associated with \(A_ 1^{(1)}\). Zbl 0643.35098
Flaschka, H.; Newell, A. C.; Ratiu, T.
61
1983
Nonlinear optics. Zbl 1054.78001
Moloney, Jerome; Newell, Alan
60
2004
Convection patterns in large aspect ratio systems. Zbl 0592.76052
Cross, M. C.; Newell, Alan C.
55
1984
A unified approach to Painlevé expansions. Zbl 0643.35096
Newell, A. C.; Tabor, M.; Zeng, Y. B.
55
1987
Wave turbulence. Zbl 1299.76006
Newell, Alan C.; Rumpf, Benno
52
2011
Solitons and condensed matter physics. Proceedings of the symposium on nonlinear (soliton) structure and dynamics in condensed matter. Oxford, England, June 27-29, 1978. Zbl 0387.76002
50
1978
Random wave closures. Zbl 0185.55404
Benney, D. J.; Newell, A. C.
47
1969
The general structure of integrable evolution equations. Zbl 0403.35048
Newell, A. C.
46
1979
A stability criterion for envelope equations. Zbl 0292.35047
Lange, Charles G.; Newell, Alan C.
41
1974
Wave turbulence and intermittency. Zbl 1049.76033
Newell, Alan C.; Nazarenko, Sergey; Biven, Laura
38
2001
The decay of the continuous spectrum for solutions of the Korteweg-de Vries equation. Zbl 0261.35070
Ablowitz, Mark J.; Newell, Alan C.
37
1973
Shelves and the Korteweg-de Vries equation. Zbl 0437.76020
Knickerbocker, C. J.; Newell, Alan C.
37
1980
Rossby wave packet interactions. Zbl 0176.54704
Newell, A. C.
35
1969
Nonlinear tunnelling. Zbl 0383.35046
Newell, Alan C.
33
1978
The geometry of the phase diffusion equation. Zbl 0981.76087
Ercolani, N. M.; Indik, R.; Newell, A. C.; Passot, T.
28
2000
Evolution equations, singular dispersion relations, and moving eigenvalues. Zbl 0399.35056
Kaup, David J.; Newell, Alan C.
27
1979
Benjamin-Feir turbulence in convective binary fluid mixtures. Zbl 0621.76057
Brand, Helmut R.; Lomdahl, Peter S.; Newell, Alan C.
27
1986
Envelope equations. Zbl 0291.35005
Newell, Alan C.
22
1974
Finite amplitude instabilities of partial difference equations. Zbl 0359.35069
Newell, Alan C.
22
1977
Focusing: A mechanism for instability of nonlinear finite difference equations. Zbl 0512.65070
Briggs, William L.; Newell, Alan C.; Sarie, Talib
21
1983
The post-buckling problem for thin elastic shells. Zbl 0229.73049
Lange, C. G.; Newell, A. C.
21
1971
Near-integrable systems, nonlinear tunnelling and solitons in slowly changing media. Zbl 0411.35008
Newell, A. C.
20
1978
The phase diffusion and mean drift equations for convection at finite Rayleigh numbers in large containers. Zbl 0706.76096
Newell, Alan C.; Passot, Thierry; Souli, Mohammad
19
1990
Nonlinear wave motion. Proceedings of the Summer seminar, Potsdam, New York, 1972. Zbl 0277.00012
18
1974
Long waves-short waves; A solvable model. Zbl 0403.76024
Newell, Alan C.
18
1978
Nonlinear optics. Zbl 0714.35077
Moloney, Jerome V.; Newell, Alan C.
18
1990
Review of the finite bandwidth concept. Zbl 0247.76039
Newell, A. C.; Whitehead, J. A.
17
1971
Towards a universal theory for natural patterns. Zbl 0812.45008
Passot, T.; Newell, A. C.
17
1994
Breakdown of wave turbulence and the onset of intermittency. Zbl 0972.76047
Biven, L.; Nazarenko, S. V.; Newell, A. C.
17
2001
Dimensional analysis and weak turbulence. Zbl 1098.76513
Connaughton, Colm; Nazarenko, Sergey; Newell, Alan C.
16
2003
Reflections from solitary waves in channels of decreasing depth. Zbl 0584.76024
Knickerbocker, C. J.; Newell, Alan C.
16
1985
Semi-resonant interactions and frequency dividers. Zbl 0257.70017
Ablowitz, M. J.; Funk, B. A.; Newell, A. C.
15
1973
Sequential time closures for interacting random waves. Zbl 0159.59302
Benney, D. J.; Newell, A. C.
15
1967
Local adaptive Galerkin bases for large-dimensional dynamical systems. Zbl 0729.58034
Broomhead, D. S.; Indik, R.; Newell, A. C.; Rand, D. A.
15
1991
Turbulent transport and the random occurrence of coherent events. Zbl 0655.76046
Newell, Alan C.; Rand, David A.; Russell, David
15
1988
Whitecapping. Zbl 1353.35235
Dyachenko, S.; Newell, A. C.
15
2016
Global description of patterns far from onset: a case study. Zbl 1051.76020
Ercolani, N.; Indik, R.; Newell, A. C.; Passot, T.
14
2003
Semidispersive wave systems. Zbl 0232.76021
Newell, Alan C.; Aucoin, P. J.
14
1971
Lax pairs, Bäcklund transformations and special solutions for ordinary differential equations. Zbl 0682.34011
Gibbon, J. D.; Newell, A. C.; Tabors, M.; Zeng, Y. B.
14
1988
The history of the soliton. Zbl 0553.76016
Newell, A. C.
14
1983
The Goursat and Cauchy problems for the sine-Gordon equation. Zbl 0373.35047
Kaup, David J.; Newell, Alan C.
12
1978
Kac-Moody Lie algebras and soliton equations. III: Stationary equations associated with \(A_ 1^{(1)}\). Zbl 0643.35099
Flaschka, H.; Newell, A. C.; Ratiu, T.
12
1983
Localization and coherence in nonintegrable systems. Zbl 1051.70011
Rumpf, Benno; Newell, Alan C.
11
2003
Integrability. Zbl 0744.35054
Flaschka, H.; Newell, A. C.; Tabor, M.
11
1991
Phyllotaxis: cooperation and competition between mechanical and biochemical processes. Zbl 1398.92155
Newell, Alan C.; Shipman, Patrick D.; Sun, Zhiying
11
2008
A weak turbulence theory for incompressible magnetohydrodynamics. Zbl 0941.76045
Galtier, S.; Nazarenko, S.; Newell, A. C.; Pouquet, A.
10
1999
Nonlinear dynamics of sand banks and sand waves. Zbl 0956.76031
Komarova, Natalia L.; Newell, Alan C.
10
2000
Universal description of laser dynamics near threshold. Zbl 0884.35009
Lega, J.; Moloney, J. V.; Newell, A. C.
10
1995
The role of the generalized Phillips’ spectrum in wave turbulence. Zbl 1221.76047
Newell, A. C.; Zakharov, V. E.
10
2008
Phyllotaxis: some progress, but a story far from over. Zbl 1365.92058
Pennybacker, Matthew F.; Shipman, Patrick D.; Newell, Alan C.
10
2015
Wave turbulence: a story far from over. Zbl 1297.76088
Newell, Alan C.; Rumpf, Benno
9
2013
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
The effects of normal dispersion on collapse events. Zbl 0816.35127
Luther, G. G.; Newell, A. C.; Moloney, J. V.
9
1994
Solitons in mathematics and physics. (Solitony v matematike i fizike). Transl. from the English by I. R. Gabitov, A. Yu. Orlov and E. I. Shul’man. Transl. ed. and with a foreword by A. V. Mikhajlov. (Solitony v matematike i fizike.) Zbl 0773.35066
Newell, Alan C.
9
1989
The inverse monodromy transform is a canonical transformation. Zbl 0555.35107
Flaschka, H.; Newell, A. C.
9
1982
Non-stationary spectra of local wave turbulence. Zbl 1098.76514
Connaughton, Colm; Newell, Alan C.; Pomeau, Yves
8
2003
Polygonal planforms and phyllotaxis on plants. Zbl 1442.92101
Shipman, P. D.; Newell, A. C.
8
2005
Quantum weak turbulence with applications to semiconductor lasers. Zbl 0938.82061
Lvov, Y. V.; Binder, R.; Newell, A. C.
8
1998
Plants and Fibonacci. Zbl 1092.92033
Newell, Alan C.; Shipman, Patrick D.
8
2005
Integrable systems of nonlinear evolution equations. Zbl 0362.35043
Flaschka, Hermann; Newell, Alan C.
8
1975
Non-local MHD turbulence. Zbl 1010.76101
Nazarenko, S. V.; Newell, A. C.; Galtier, S.
8
2001
Synchronized solitons. Zbl 0362.35057
Newell, Alan C.
7
1977
The Hirota conditions. Zbl 0622.35069
Newell, Alan C.; Zeng, Yunbo
7
1986
Fingerprint formation. Zbl 1445.92040
Kücken, Michael; Newell, Alan C.
6
2005
Pattern quarks and leptons. Zbl 1245.81297
Newell, Alan C.
5
2012
Pattern formation by dynamic systems and pattern recognition. Proceedings of the international symposium on synergetics at Schloß Elmau, Bavaria, April 30 - May 5, 1979. Zbl 0418.68070
5
1979
Computing with non-orientable defects: nematics, smectics and natural patterns. Zbl 1485.76011
Zhang, Chiqun; Acharya, Amit; Newell, Alan C.; Venkataramani, Shankar C.
5
2021
Intermittency and turbulence. Zbl 1050.76548
Kuznetsov, E.; Newell, A. C.; Zakharov, V. E.
4
1991
Space-time complexity in nonlinear optics. Zbl 0790.35106
Moloney, J. V.; Jakobsen, P. K.; Lega, J.; Wenden, S. G.; Newell, A. C.
4
1993
Elastic sheets, phase surfaces, and pattern universes. Zbl 1373.35305
Newell, Alan C.; Venkataramani, Shankar C.
4
2017
Wave instability under short-wave amplitude modulations. Zbl 1426.76166
Rumpf, Benno; Newell, Alan C.
3
2013
Two dimensional convection patterns in large aspect ratio systems. Zbl 0531.76047
Newell, Alan C.
3
1983
Structure functions and breakdown criteria for wave turbulence. Zbl 1054.76040
Biven, L. J.; Connaughton, C.; Newell, A. C.
3
2003
An alternative proof of the Poincaré-Bertrand formula for real integrals and its generalization to \(n\) dimensions. Zbl 0177.08005
Newell, Alan C.
3
1968
Random convection. Zbl 0185.55202
Newell, A. C.; Lange, C. G.; Aucoin, P. J.
3
1970
Spherical shells like hexagons: Cylinders prefer diamonds. I. Zbl 0263.73026
Lange, C. G.; Newell, A. C.
3
1973
Patterns, defects and integrability. Zbl 0951.76024
Bowman, C.; Ercolani, N.; Indik, R.; Newell, Alan C.; Passot, T.
3
1998
The inverse scattering transform, nonlinear waves, singular perturbations and synchronized solitons. Zbl 0403.35085
Newell, Alan C.
3
1978
Numerical simulation of Rayleigh-Bénard convection in shallow tanks. Zbl 0649.76020
Arter, Wayne; Newell, Alan C.
3
1988
Turbulent crystals in macroscopic systems. Zbl 0788.76012
Newell, Alan C.; Pomeau, Yves
3
1993
Soliton mathematics. Zbl 0631.35001
Newell, Alan C.; Ratiu, Tudor; Tabor, Michael; Yunbo, Zeng
3
1986
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
Multiphase similarity solutions of integrable evolution equations. Zbl 0456.35076
Flaschka, H.; Newell, A. C.
2
1980
Multiphase similarity solutions of integrable evolution equations. Zbl 1194.37102
Flaschka, H.; Newell, A. C.
2
1981
Convection at finite Rayleigh numbers in large aspect ratio containers. Zbl 0751.76061
Newell, A. C.; Passot, T.; Souli, M.
2
1990
Propagation of solitary waves in channels of decreasing depth. Zbl 0625.76023
Knickerbocker, C. J.; Newell, Alan C.
2
1985
Shock bowing and vorticity dynamics during propagation into different transverse density profiles. Zbl 1056.76043
Kremeyer, K.; Nazarenko, S.; Newell, A. C.
2
2002
A new invariant in plant phyllotaxis. Zbl 1172.35351
Newell, Alan C.; Shipman, Patrick D.
2
2008
Lectures on wave turbulence and intermittency. Zbl 1271.76120
Newell, A.
1
2002
Global description of patterns far from onset: a case study. Zbl 1062.76017
Ercolani, N.; Indik, R.; Newell, A. C.; Passot, T.
1
2003
The universal behavior of modulated stripe patterns. Zbl 07677932
Newell, Alan C.; Venkataramani, Shankar C.
1
2023
Fractional-step finite difference schemes for incompressible elasticity on overset grids. Zbl 07696984
Banks, J. W.; Henshaw, W. D.; Newell, A.; Schwendeman, D. W.
1
2023
Computing with non-orientable defects: nematics, smectics and natural patterns. Zbl 1485.76011
Zhang, Chiqun; Acharya, Amit; Newell, Alan C.; Venkataramani, Shankar C.
5
2021
Elastic sheets, phase surfaces, and pattern universes. Zbl 1373.35305
Newell, Alan C.; Venkataramani, Shankar C.
4
2017
Whitecapping. Zbl 1353.35235
Dyachenko, S.; Newell, A. C.
15
2016
Phyllotaxis: some progress, but a story far from over. Zbl 1365.92058
Pennybacker, Matthew F.; Shipman, Patrick D.; Newell, Alan C.
10
2015
‘Quarks’ and ‘leptons’ in three dimensional patterns. Zbl 1297.81186
Newell, Alan C.
1
2014
Wave turbulence: a story far from over. Zbl 1297.76088
Newell, Alan C.; Rumpf, Benno
9
2013
Wave instability under short-wave amplitude modulations. Zbl 1426.76166
Rumpf, Benno; Newell, Alan C.
3
2013
Pattern quarks and leptons. Zbl 1245.81297
Newell, Alan C.
5
2012
Wave turbulence. Zbl 1299.76006
Newell, Alan C.; Rumpf, Benno
52
2011
Phyllotaxis: cooperation and competition between mechanical and biochemical processes. Zbl 1398.92155
Newell, Alan C.; Shipman, Patrick D.; Sun, Zhiying
11
2008
The role of the generalized Phillips’ spectrum in wave turbulence. Zbl 1221.76047
Newell, A. C.; Zakharov, V. E.
10
2008
A new invariant in plant phyllotaxis. Zbl 1172.35351
Newell, Alan C.; Shipman, Patrick D.
2
2008
Polygonal planforms and phyllotaxis on plants. Zbl 1442.92101
Shipman, P. D.; Newell, A. C.
8
2005
Plants and Fibonacci. Zbl 1092.92033
Newell, Alan C.; Shipman, Patrick D.
8
2005
Fingerprint formation. Zbl 1445.92040
Kücken, Michael; Newell, Alan C.
6
2005
Mean creep: the soft mode in elastic sheet buckling. Zbl 1078.74010
Kücken, Michael; Newell, Alan C.; Shipman, Patrick D.
1
2005
Nonlinear optics. Zbl 1054.78001
Moloney, Jerome; Newell, Alan
60
2004
Dimensional analysis and weak turbulence. Zbl 1098.76513
Connaughton, Colm; Nazarenko, Sergey; Newell, Alan C.
16
2003
Global description of patterns far from onset: a case study. Zbl 1051.76020
Ercolani, N.; Indik, R.; Newell, A. C.; Passot, T.
14
2003
Localization and coherence in nonintegrable systems. Zbl 1051.70011
Rumpf, Benno; Newell, Alan C.
11
2003
Non-stationary spectra of local wave turbulence. Zbl 1098.76514
Connaughton, Colm; Newell, Alan C.; Pomeau, Yves
8
2003
Structure functions and breakdown criteria for wave turbulence. Zbl 1054.76040
Biven, L. J.; Connaughton, C.; Newell, A. C.
3
2003
Global description of patterns far from onset: a case study. Zbl 1062.76017
Ercolani, N.; Indik, R.; Newell, A. C.; Passot, T.
1
2003
Shock bowing and vorticity dynamics during propagation into different transverse density profiles. Zbl 1056.76043
Kremeyer, K.; Nazarenko, S.; Newell, A. C.
2
2002
Lectures on wave turbulence and intermittency. Zbl 1271.76120
Newell, A.
1
2002
Wave turbulence is almost always intermittent at either small or large scales. Zbl 1152.76425
Newell, Alan C.
1
2002
Wave turbulence and intermittency. Zbl 1049.76033
Newell, Alan C.; Nazarenko, Sergey; Biven, Laura
38
2001
Breakdown of wave turbulence and the onset of intermittency. Zbl 0972.76047
Biven, L.; Nazarenko, S. V.; Newell, A. C.
17
2001
Non-local MHD turbulence. Zbl 1010.76101
Nazarenko, S. V.; Newell, A. C.; Galtier, S.
8
2001
The geometry of the phase diffusion equation. Zbl 0981.76087
Ercolani, N. M.; Indik, R.; Newell, A. C.; Passot, T.
28
2000
Nonlinear dynamics of sand banks and sand waves. Zbl 0956.76031
Komarova, Natalia L.; Newell, Alan C.
10
2000
A weak turbulence theory for incompressible magnetohydrodynamics. Zbl 0941.76045
Galtier, S.; Nazarenko, S.; Newell, A. C.; Pouquet, A.
10
1999
The competition between nonlinearity, dispersion and randomness in signal propagation. Zbl 0935.35151
Komarova, Natalia; Newell, Alan C.
1
1999
Quantum weak turbulence with applications to semiconductor lasers. Zbl 0938.82061
Lvov, Y. V.; Binder, R.; Newell, A. C.
8
1998
Patterns, defects and integrability. Zbl 0951.76024
Bowman, C.; Ercolani, N.; Indik, R.; Newell, Alan C.; Passot, T.
3
1998
A wavelet based algorithm for pattern analysis. Zbl 1194.76196
Bowman, Chris; Passot, Thierry; Assenheimer, Michel; Newell, Alan C.
1
1998
Universal description of laser dynamics near threshold. Zbl 0884.35009
Lega, J.; Moloney, J. V.; Newell, A. C.
10
1995
The nonlinear Schrödinger equation. Proceedings of the conference held in Chernogolovka, July 25–August 3, 1994. Zbl 1194.00094
Mikhailov, A. V.; Kuznetsov, E. A.; Newell, A. C.; Zakharov, V. E.
1
1995
Phase diffusion and phase propagation: interesting connections. Zbl 1194.35333
Newell, Alan C.; Pomeau, Yves
1
1995
Towards a universal theory for natural patterns. Zbl 0812.45008
Passot, T.; Newell, A. C.
17
1994
The effects of normal dispersion on collapse events. Zbl 0816.35127
Luther, G. G.; Newell, A. C.; Moloney, J. V.
9
1994
Space-time complexity in nonlinear optics. Zbl 0790.35106
Moloney, J. V.; Jakobsen, P. K.; Lega, J.; Wenden, S. G.; Newell, A. C.
4
1993
Turbulent crystals in macroscopic systems. Zbl 0788.76012
Newell, Alan C.; Pomeau, Yves
3
1993
Optical turbulence: weak turbulence, condensates and collapsing filaments in the nonlinear Schrödinger equation. Zbl 0767.35082
Dyachenko, S.; Newell, A. C.; Pushkarev, A.; Zakharov, V. E.
106
1992
Local adaptive Galerkin bases for large-dimensional dynamical systems. Zbl 0729.58034
Broomhead, D. S.; Indik, R.; Newell, A. C.; Rand, D. A.
15
1991
Integrability. Zbl 0744.35054
Flaschka, H.; Newell, A. C.; Tabor, M.
11
1991
Intermittency and turbulence. Zbl 1050.76548
Kuznetsov, E.; Newell, A. C.; Zakharov, V. E.
4
1991
The phase diffusion and mean drift equations for convection at finite Rayleigh numbers in large containers. Zbl 0706.76096
Newell, Alan C.; Passot, Thierry; Souli, Mohammad
19
1990
Nonlinear optics. Zbl 0714.35077
Moloney, Jerome V.; Newell, Alan C.
18
1990
Convection at finite Rayleigh numbers in large aspect ratio containers. Zbl 0751.76061
Newell, A. C.; Passot, T.; Souli, M.
2
1990
Solitons in mathematics and physics. (Solitony v matematike i fizike). Transl. from the English by I. R. Gabitov, A. Yu. Orlov and E. I. Shul’man. Transl. ed. and with a foreword by A. V. Mikhajlov. (Solitony v matematike i fizike.) Zbl 0773.35066
Newell, Alan C.
9
1989
Turbulent transport and the random occurrence of coherent events. Zbl 0655.76046
Newell, Alan C.; Rand, David A.; Russell, David
15
1988
Lax pairs, Bäcklund transformations and special solutions for ordinary differential equations. Zbl 0682.34011
Gibbon, J. D.; Newell, A. C.; Tabors, M.; Zeng, Y. B.
14
1988
Numerical simulation of Rayleigh-Bénard convection in shallow tanks. Zbl 0649.76020
Arter, Wayne; Newell, Alan C.
3
1988
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
A unified approach to Painlevé expansions. Zbl 0643.35096
Newell, A. C.; Tabor, M.; Zeng, Y. B.
55
1987
Benjamin-Feir turbulence in convective binary fluid mixtures. Zbl 0621.76057
Brand, Helmut R.; Lomdahl, Peter S.; Newell, Alan C.
27
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
The Hirota conditions. Zbl 0622.35069
Newell, Alan C.; Zeng, Yunbo
7
1986
Soliton mathematics. Zbl 0631.35001
Newell, Alan C.; Ratiu, Tudor; Tabor, Michael; Yunbo, Zeng
3
1986
Chaos and turbulence: Is there a connection? Zbl 0673.76066
Newell, Alan C.
1
1986
Solitons in mathematics and physics. Zbl 0565.35003
Newell, Alan C.
468
1985
Reflections from solitary waves in channels of decreasing depth. Zbl 0584.76024
Knickerbocker, C. J.; Newell, Alan C.
16
1985
Propagation of solitary waves in channels of decreasing depth. Zbl 0625.76023
Knickerbocker, C. J.; Newell, Alan C.
2
1985
Convection patterns in large aspect ratio systems. Zbl 0592.76052
Cross, M. C.; Newell, Alan C.
55
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
Kac-Moody Lie algebras and soliton equations. II: Lax equations associated with \(A_ 1^{(1)}\). Zbl 0643.35098
Flaschka, H.; Newell, A. C.; Ratiu, T.
61
1983
Focusing: A mechanism for instability of nonlinear finite difference equations. Zbl 0512.65070
Briggs, William L.; Newell, Alan C.; Sarie, Talib
21
1983
The history of the soliton. Zbl 0553.76016
Newell, A. C.
14
1983
Kac-Moody Lie algebras and soliton equations. III: Stationary equations associated with \(A_ 1^{(1)}\). Zbl 0643.35099
Flaschka, H.; Newell, A. C.; Ratiu, T.
12
1983
Two dimensional convection patterns in large aspect ratio systems. Zbl 0531.76047
Newell, Alan C.
3
1983
The inverse monodromy transform is a canonical transformation. Zbl 0555.35107
Flaschka, H.; Newell, A. C.
9
1982
Multiphase similarity solutions of integrable evolution equations. Zbl 1194.37102
Flaschka, H.; Newell, A. C.
2
1981
Monodromy- and spectrum-preserving deformations. I. Zbl 0439.34005
Flaschka, Hermann; Newell, Alan C.
218
1980
Shelves and the Korteweg-de Vries equation. Zbl 0437.76020
Knickerbocker, C. J.; Newell, Alan C.
37
1980
Multiphase similarity solutions of integrable evolution equations. Zbl 0456.35076
Flaschka, H.; Newell, A. C.
2
1980
The general structure of integrable evolution equations. Zbl 0403.35048
Newell, A. C.
46
1979
Evolution equations, singular dispersion relations, and moving eigenvalues. Zbl 0399.35056
Kaup, David J.; Newell, Alan C.
27
1979
Pattern formation by dynamic systems and pattern recognition. Proceedings of the international symposium on synergetics at Schloß Elmau, Bavaria, April 30 - May 5, 1979. Zbl 0418.68070
5
1979
An exact solution for a derivative nonlinear Schrödinger equation. Zbl 0383.35015
Kaup, David J.; Newell, Alan C.
495
1978
Solitons and condensed matter physics. Proceedings of the symposium on nonlinear (soliton) structure and dynamics in condensed matter. Oxford, England, June 27-29, 1978. Zbl 0387.76002
50
1978
Nonlinear tunnelling. Zbl 0383.35046
Newell, Alan C.
33
1978
Near-integrable systems, nonlinear tunnelling and solitons in slowly changing media. Zbl 0411.35008
Newell, A. C.
20
1978
Long waves-short waves; A solvable model. Zbl 0403.76024
Newell, Alan C.
18
1978
The Goursat and Cauchy problems for the sine-Gordon equation. Zbl 0373.35047
Kaup, David J.; Newell, Alan C.
12
1978
The inverse scattering transform, nonlinear waves, singular perturbations and synchronized solitons. Zbl 0403.35085
Newell, Alan C.
3
1978
Finite amplitude instabilities of partial difference equations. Zbl 0359.35069
Newell, Alan C.
22
1977
Synchronized solitons. Zbl 0362.35057
Newell, Alan C.
7
1977
The interrelation between Bäcklund transformations and the inverse scattering transform. Zbl 0326.35065
Newell, Alan C.
1
1976
Integrable systems of nonlinear evolution equations. Zbl 0362.35043
Flaschka, Hermann; Newell, Alan C.
8
1975
The inverse scattering transform-Fourier analysis for nonlinear problems. Zbl 0408.35068
Ablowitz, Mark J.; Kaup, David J.; Newell, Alan C.; Segur, Harvey
1,052
1974
A stability criterion for envelope equations. Zbl 0292.35047
Lange, Charles G.; Newell, Alan C.
41
1974
Envelope equations. Zbl 0291.35005
Newell, Alan C.
22
1974
Nonlinear wave motion. Proceedings of the Summer seminar, Potsdam, New York, 1972. Zbl 0277.00012
18
1974
Nonlinear-evolution equations of physical significance. Zbl 1243.35143
Ablowitz, Mark J.; Kaup, David J.; Newell, Alan C.; Segur, Harvey
354
1973
The decay of the continuous spectrum for solutions of the Korteweg-de Vries equation. Zbl 0261.35070
Ablowitz, Mark J.; Newell, Alan C.
37
1973
Semi-resonant interactions and frequency dividers. Zbl 0257.70017
Ablowitz, M. J.; Funk, B. A.; Newell, A. C.
15
1973
Spherical shells like hexagons: Cylinders prefer diamonds. I. Zbl 0263.73026
Lange, C. G.; Newell, A. C.
3
1973
...and 11 more Documents
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Cited by 3,956 Authors

92 Ma, Wen-Xiu
58 Newell, Alan C.
53 Ablowitz, Mark Jay
42 Tian, Bo
37 Fan, Engui
31 Geng, Xianguo
31 Zhang, Yufeng
29 He, Jingsong
29 Kaup, David J.
26 Fokas, Athanassios S.
26 Nazarenko, Sergeĭ Vital’evich
24 Gerdzhikov, Vladimir Stefanov
24 Grimshaw, Roger Hamilton James
24 Yan, Zhenya
22 Zhang, Dajun
21 Yang, Jianke
20 Clarkson, Peter A.
20 Xia, Tie-Cheng
20 Zeng, Yunbo
19 Chen, Dengyuan
19 Its, Alexander Rudolfovich
18 Gao, Yitian
18 Kudryashov, Nikolaĭ Alekseevich
18 Malomed, Boris A.
18 Pelinovsky, Dmitry Efimovich
18 Qiao, Zhijun (George)
18 Tian, Shoufu
18 Zakharov, Vladimir Evgen’evich
17 Ling, Liming
17 Porsezian, Kuppusamy
17 Schneider, Guido
17 Shen, Shoufeng
17 Sulem, Catherine
16 Biondini, Gino
16 Chen, Yong
16 Lü, Xing
16 Pickering, Andrew
16 Segur, Harvey
16 Zhang, Hongqing
15 Caudrelier, Vincent
15 Van der Mee, Cornelis Victor Maria
14 Guo, Boling
14 Kofané, Timoléon Crépin
14 Konopelchenko, Boris Georgievich
14 Santini, Paolo Maria
13 Dyachenko, Sergey A.
13 Ercolani, Nicholas M.
13 Feng, Baofeng
13 Gordoa, Pilar Ruiz
13 Musslimani, Ziad H.
13 Sakhnovich, Alexander L.
13 Tenenblat, Keti
13 Wazwaz, Abdul-Majid Abdul-Rahman
13 Yu, Fajun
13 Zhang, Yongshuai
12 Demontis, Francesco
12 Macías-Díaz, Jorge Eduardo
12 Prykarpatsky, Anatoliy Karolevych
12 Xu, Tao
11 Chen, Jinbing
11 Deconinck, Bernard
11 Guo, Rui
11 Lvov, Yuri V.
11 McLaughlin, David W.
11 Miller, Peter D.
11 Nepomnyashchy, Alexander A.
11 Osborne, Alfred R.
11 Passot, Thierry
11 Qiu, Deqin
11 Vitanov, Nikolay K.
11 Xue, Bo
11 Zhang, Haiqiang
11 Zhu, Zuonong
10 Benney, David J.
10 Dimitrova, Zlatinka I.
10 Kitaev, Alexander V.
10 Luo, Xudan
10 Moloney, Jerome V.
10 Pelinovsky, Efim
10 Qi, Fenghua
10 Sahadevan, Ramajayam
10 Sulem, Pierre-Louis
10 Wang, Lei
9 Beals, Richard W.
9 Bu, Charles
9 Cheng, Yi
9 Doikou, Anastasia
9 Kulish, Petr Petrovich
9 Liu, Wenjun J.
9 Lou, Senyue
9 Scheel, Arnd
9 Wang, Haifeng
9 Wright, Otis Clarence III
9 Zhao, Songlin
9 Zhou, Ruguang
8 Brand, Helmut R.
8 Connaughton, Colm P.
8 Dai, Huihui
8 Deift, Percy A.
8 Descalzi, Orazio
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Cited in 366 Serials

471 Physica D
312 Journal of Mathematical Physics
168 Studies in Applied Mathematics
151 Chaos, Solitons and Fractals
140 Physics Letters. A
122 Journal of Fluid Mechanics
108 Communications in Nonlinear Science and Numerical Simulation
75 Applied Mathematics and Computation
73 Theoretical and Mathematical Physics
68 Communications in Mathematical Physics
59 Wave Motion
57 Journal of Nonlinear Mathematical Physics
55 Applied Mathematics Letters
53 Journal of Mathematical Analysis and Applications
50 Journal of Computational Physics
48 Chaos
46 Journal of Differential Equations
42 Nonlinear Dynamics
39 Journal of Physics A: Mathematical and Theoretical
38 Letters in Mathematical Physics
36 Journal of Geometry and Physics
35 Journal of Nonlinear Science
33 Mathematical Methods in the Applied Sciences
32 Nonlinearity
31 Physica A
30 Physics of Fluids
23 Acta Applicandae Mathematicae
22 International Journal of Theoretical Physics
22 Reports on Mathematical Physics
22 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
22 Communications in Theoretical Physics
21 Mathematics and Computers in Simulation
21 Annals of Physics
20 ZAMP. Zeitschrift für angewandte Mathematik und Physik
19 International Journal of Geometric Methods in Modern Physics
17 Computers & Mathematics with Applications
17 Communications on Pure and Applied Mathematics
17 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering
17 Journal of Mathematical Sciences (New York)
16 Nuclear Physics. B
15 International Journal of Modern Physics B
15 European Journal of Mechanics. B. Fluids
14 Journal of Statistical Physics
14 Applied Numerical Mathematics
13 SIAM Journal on Mathematical Analysis
12 Advances in Mathematics
12 Communications in Partial Differential Equations
12 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications
11 Applicable Analysis
11 Acta Mathematicae Applicatae Sinica. English Series
10 Physics of Fluids
10 Physics Reports
10 Journal of Computational and Applied Mathematics
10 Journal of Soviet Mathematics
10 Mathematical Physics, Analysis and Geometry
10 Nonlinear Analysis. Real World Applications
10 Advances in Difference Equations
10 Chinese Journal of Physics (Taipei)
9 Transactions of the American Mathematical Society
9 Constructive Approximation
9 Waves in Random and Complex Media
9 Advances in Mathematical Physics
9 Journal of Theoretical Biology
9 Nonlinear Analysis. Theory, Methods & Applications
8 Computer Physics Communications
8 Ukrainian Mathematical Journal
8 Physics of Fluids, A
8 Proceedings of the American Mathematical Society
8 Proceedings of the Japan Academy. Series A
8 Applied Mathematics and Mechanics. (English Edition)
8 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire
8 International Journal of Computer Mathematics
8 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics
8 Discrete and Continuous Dynamical Systems
8 Proceedings of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences
8 Journal of High Energy Physics
8 Qualitative Theory of Dynamical Systems
8 Physical Review Letters
8 Communications on Pure and Applied Analysis
8 SIAM Journal on Applied Dynamical Systems
8 Analysis and Mathematical Physics
7 Archive for Rational Mechanics and Analysis
7 Journal of the Mechanics and Physics of Solids
7 Reviews in Mathematical Physics
7 Duke Mathematical Journal
7 Functional Analysis and its Applications
7 Discrete and Continuous Dynamical Systems. Series S
7 Journal of Applied Analysis and Computation
6 Acta Mechanica
6 Computer Methods in Applied Mechanics and Engineering
6 Geophysical and Astrophysical Fluid Dynamics
6 Journal of Mathematical Biology
6 Journal of Functional Analysis
6 Computational Mathematics and Mathematical Physics
6 SIAM Journal on Applied Mathematics
6 Bulletin of the American Mathematical Society. New Series
6 Computational and Applied Mathematics
6 Differential Equations
6 East Asian Journal on Applied Mathematics
6 International Journal of Applied and Computational Mathematics
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Cited in 55 Fields

2,520 Partial differential equations (35-XX)
1,376 Dynamical systems and ergodic theory (37-XX)
724 Fluid mechanics (76-XX)
334 Ordinary differential equations (34-XX)
316 Quantum theory (81-XX)
222 Numerical analysis (65-XX)
199 Statistical mechanics, structure of matter (82-XX)
189 Optics, electromagnetic theory (78-XX)
108 Global analysis, analysis on manifolds (58-XX)
98 Mechanics of deformable solids (74-XX)
95 Nonassociative rings and algebras (17-XX)
94 Differential geometry (53-XX)
76 Mechanics of particles and systems (70-XX)
75 Operator theory (47-XX)
70 Biology and other natural sciences (92-XX)
64 Difference and functional equations (39-XX)
61 Special functions (33-XX)
58 Probability theory and stochastic processes (60-XX)
58 Geophysics (86-XX)
43 Computer science (68-XX)
42 Algebraic geometry (14-XX)
41 Integral equations (45-XX)
36 Classical thermodynamics, heat transfer (80-XX)
35 Approximations and expansions (41-XX)
29 Linear and multilinear algebra; matrix theory (15-XX)
29 Relativity and gravitational theory (83-XX)
28 Harmonic analysis on Euclidean spaces (42-XX)
26 Topological groups, Lie groups (22-XX)
24 Real functions (26-XX)
24 Functions of a complex variable (30-XX)
18 Systems theory; control (93-XX)
17 Calculus of variations and optimal control; optimization (49-XX)
16 General and overarching topics; collections (00-XX)
11 History and biography (01-XX)
11 Several complex variables and analytic spaces (32-XX)
11 Functional analysis (46-XX)
10 Number theory (11-XX)
9 Statistics (62-XX)
9 Astronomy and astrophysics (85-XX)
7 Group theory and generalizations (20-XX)
7 Convex and discrete geometry (52-XX)
5 Combinatorics (05-XX)
5 Associative rings and algebras (16-XX)
5 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
5 Information and communication theory, circuits (94-XX)
4 Commutative algebra (13-XX)
4 Integral transforms, operational calculus (44-XX)
4 Algebraic topology (55-XX)
3 Operations research, mathematical programming (90-XX)
2 Measure and integration (28-XX)
2 Geometry (51-XX)
1 Field theory and polynomials (12-XX)
1 Potential theory (31-XX)
1 Sequences, series, summability (40-XX)
1 General topology (54-XX)

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