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## Newell, Alan C.

Compute Distance To:
 Author ID: newell.alan-c Published as: Newell, Alan C.; Newell, A. C.; Newell, A.; Newell, Alan External Links: MGP · Wikidata · GND · IdRef
 Documents Indexed: 115 Publications since 1963, including 4 Books 3 Contributions as Editor 3 Further Contributions
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#### 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 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 Sarie, Talib H. 2 Venkataramani, Shankar C. 2 Whitehead, J. A. jun. 1 Aceves, Alejandro B. 1 Arter, Wayne 1 Assenheimer, Michel 1 Binder, R. 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 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, R. D. 1 Luce, Robert Duncan 1 Luther, Gregory G. 1 Lvov, Yuri V. 1 Marchand, André 1 McGill, William J. 1 Mikhailov, Alexander Vasil’evich 1 Pacault, Adolphe 1 Pennybacker, Matthew F. 1 Pushkarev, Andrei N. 1 Schrieffer, Robert J. 1 Sun, Zhiying 1 Suppes, Patrick 1 Tabors, M. 1 Taha, Thiab R. 1 Wenden, S. G. 1 Yunbo, Zeng 1 Zinnes, Joseph L.
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#### Serials

 30 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 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 Computational Physics 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 Springer Series in Solid-State Sciences 1 Springer Series in Synergetics
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#### Fields

 59 Partial differential equations (35-XX) 54 Fluid mechanics (76-XX) 13 Dynamical systems and ergodic theory (37-XX) 10 Optics, electromagnetic theory (78-XX) 9 Numerical analysis (65-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) 5 Mechanics of deformable solids (74-XX) 4 Ordinary differential equations (34-XX) 3 Nonassociative rings and algebras (17-XX) 3 Global analysis, analysis on manifolds (58-XX) 3 Classical thermodynamics, heat transfer (80-XX) 3 Statistical mechanics, structure of matter (82-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)

#### Citations contained in zbMATH Open

101 Publications have been cited 2,985 times in 2,463 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
1974
Solitons in mathematics and physics. Zbl 0565.35003
Newell, Alan C.
1985
An exact solution for a derivative nonlinear Schrödinger equation. Zbl 0383.35015
Kaup, David J.; Newell, Alan C.
1978
Finite bandwidth, finite amplitude convection. Zbl 0187.25102
Newell, A. C.; Whitehead, J. A.
1969
Nonlinear-evolution equations of physical significance. Zbl 1243.35143
Ablowitz, Mark J.; Kaup, David J.; Newell, Alan C.; Segur, Harvey
1973
Monodromy- and spectrum-preserving deformations. I. Zbl 0439.34005
Flaschka, Hermann; Newell, Alan C.
1980
The propagation of nonlinear wave envelopes. Zbl 0153.30301
Benney, D. J.; Newell, A. C.
1967
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.
1992
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.
1983
Nonlinear optics. Zbl 1054.78001
Moloney, Jerome; Newell, Alan
2004
Shelves and the Korteweg-de Vries equation. Zbl 0437.76020
Knickerbocker, C. J.; Newell, Alan C.
1980
The general structure of integrable evolution equations. Zbl 0403.35048
Newell, A. C.
1979
A unified approach to Painlevé expansions. Zbl 0643.35096
Newell, A. C.; Tabor, M.; Zeng, Y. B.
1987
Wave turbulence. Zbl 1299.76006
Newell, Alan C.; Rumpf, Benno
2011
Rossby wave packet interactions. Zbl 0176.54704
Newell, A. C.
1969
Random wave closures. Zbl 0185.55404
Benney, D. J.; Newell, A. C.
1969
The decay of the continuous spectrum for solutions of the Korteweg-de Vries equation. Zbl 0261.35070
Ablowitz, Mark J.; Newell, Alan C.
1973
Convection patterns in large aspect ratio systems. Zbl 0592.76052
Cross, M. C.; Newell, Alan C.
1984
A stability criterion for envelope equations. Zbl 0292.35047
Lange, Charles G.; Newell, Alan C.
1974
The geometry of the phase diffusion equation. Zbl 0981.76087
Ercolani, N. M.; Indik, R.; Newell, A. C.; Passot, T.
2000
Evolution equations, singular dispersion relations, and moving eigenvalues. Zbl 0399.35056
Kaup, David J.; Newell, Alan C.
1979
Wave turbulence and intermittency. Zbl 1049.76033
Newell, Alan C.; Nazarenko, Sergey; Biven, Laura
2001
Near-integrable systems, nonlinear tunnelling and solitons in slowly changing media. Zbl 0411.35008
Newell, A. C.
1978
Semi-resonant interactions and frequency dividers. Zbl 0257.70017
Ablowitz, M. J.; Funk, B. A.; Newell, A. C.
1973
Handbook of mathematical psychology. Vol. I, Chapters 1–8. Zbl 0128.39901
1963
Reflections from solitary waves in channels of decreasing depth. Zbl 0584.76024
Knickerbocker, C. J.; Newell, Alan C.
1985
Sequential time closures for interacting random waves. Zbl 0159.59302
Benney, D. J.; Newell, A. C.
1967
The post-buckling problem for thin elastic shells. Zbl 0229.73049
Lange, C. G.; Newell, A. C.
1971
Nonlinear optics. Zbl 0714.35077
Moloney, Jerome V.; Newell, Alan C.
1990
Benjamin-Feir turbulence in convective binary fluid mixtures. Zbl 0621.76057
Brand, Helmut R.; Lomdahl, Peter S.; Newell, Alan C.
1986
Local adaptive Galerkin bases for large-dimensional dynamical systems. Zbl 0729.58034
Broomhead, D. S.; Indik, R.; Newell, A. C.; Rand, D. A.
1991
Dimensional analysis and weak turbulence. Zbl 1098.76513
Connaughton, Colm; Nazarenko, Sergey; Newell, Alan C.
2003
Breakdown of wave turbulence and the onset of intermittency. Zbl 0972.76047
Biven, L.; Nazarenko, S. V.; Newell, A. C.
2001
The history of the soliton. Zbl 0553.76016
Newell, A. C.
1983
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.
1988
Global description of patterns far from onset: a case study. Zbl 1051.76020
Ercolani, N.; Indik, R.; Newell, A. C.; Passot, T.
2003
Finite amplitude instabilities of partial difference equations. Zbl 0359.35069
Newell, Alan C.
1977
Long waves-short waves; A solvable model. Zbl 0403.76024
Newell, Alan C.
1978
Turbulent transport and the random occurrence of coherent events. Zbl 0655.76046
Newell, Alan C.; Rand, David A.; Russell, David
1988
The Goursat and Cauchy problems for the sine-Gordon equation. Zbl 0373.35047
Kaup, David J.; Newell, Alan C.
1978
Envelope equations. Zbl 0291.35005
Newell, Alan C.
1974
Towards a universal theory for natural patterns. Zbl 0812.45008
Passot, T.; Newell, A. C.
1994
The role of the generalized Phillips’ spectrum in wave turbulence. Zbl 1221.76047
Newell, A. C.; Zakharov, V. E.
2008
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
1990
Nonlinear tunnelling. Zbl 0383.35046
Newell, Alan C.
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
1978
Review of the finite bandwidth concept. Zbl 0247.76039
Newell, A. C.; Whitehead, J. A.
1971
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.
1983
Phyllotaxis: cooperation and competition between mechanical and biochemical processes. Zbl 1398.92155
Newell, Alan C.; Shipman, Patrick D.; Sun, Zhiying
2008
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.
1986
Focusing: A mechanism for instability of nonlinear finite difference equations. Zbl 0512.65070
Briggs, William L.; Newell, Alan C.; Sarie, Talib
1983
Nonlinear dynamics of sand banks and sand waves. Zbl 0956.76031
Komarova, Natalia L.; Newell, Alan C.
2000
Semidispersive wave systems. Zbl 0232.76021
Newell, Alan C.; Aucoin, P. J.
1971
Quantum weak turbulence with applications to semiconductor lasers. Zbl 0938.82061
Lvov, Y. V.; Binder, R.; Newell, A. C.
1998
Plants and Fibonacci. Zbl 1092.92033
Newell, Alan C.; Shipman, Patrick D.
2005
Nonlinear wave motion. Proceedings of the Summer seminar, Potsdam, New York, 1972. Zbl 0277.00012
1974
Whitecapping. Zbl 1353.35235
Dyachenko, S.; Newell, A. C.
2016
Integrability. Zbl 0744.35054
Flaschka, H.; Newell, A. C.; Tabor, M.
1991
Wave turbulence: a story far from over. Zbl 1297.76088
Newell, Alan C.; Rumpf, Benno
2013
Universal description of laser dynamics near threshold. Zbl 0884.35009
Lega, J.; Moloney, J. V.; Newell, A. C.
1995
A weak turbulence theory for incompressible magnetohydrodynamics. Zbl 0941.76045
Galtier, S.; Nazarenko, S.; Newell, A. C.; Pouquet, A.
1999
Non-stationary spectra of local wave turbulence. Zbl 1098.76514
Connaughton, Colm; Newell, Alan C.; Pomeau, Yves
2003
The effects of normal dispersion on collapse events. Zbl 0816.35127
Luther, G. G.; Newell, A. C.; Moloney, J. V.
1994
Localization and coherence in nonintegrable systems. Zbl 1051.70011
Rumpf, Benno; Newell, Alan C.
2003
The Hirota conditions. Zbl 0622.35069
Newell, Alan C.; Zeng, Yunbo
1986
Phyllotaxis: some progress, but a story far from over. Zbl 1365.92058
Pennybacker, Matthew F.; Shipman, Patrick D.; Newell, Alan C.
2015
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.
1989
Space-time complexity in nonlinear optics. Zbl 0790.35106
Moloney, J. V.; Jakobsen, P. K.; Lega, J.; Wenden, S. G.; Newell, A. C.
1993
Integrable systems of nonlinear evolution equations. Zbl 0362.35043
Flaschka, Hermann; Newell, Alan C.
1975
Soliton mathematics. Zbl 0631.35001
Newell, Alan C.; Ratiu, Tudor; Tabor, Michael; Yunbo, Zeng
1986
Numerical simulation of Rayleigh-Bénard convection in shallow tanks. Zbl 0649.76020
Arter, Wayne; Newell, Alan C.
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.
1988
An alternative proof of the Poincaré-Bertrand formula for real integrals and its generalization to $$n$$ dimensions. Zbl 0177.08005
Newell, Alan C.
1968
Synchronized solitons. Zbl 0362.35057
Newell, Alan C.
1977
The inverse scattering transform, nonlinear waves, singular perturbations and synchronized solitons. Zbl 0403.35085
Newell, Alan C.
1978
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
1979
The inverse monodromy transform is a canonical transformation. Zbl 0555.35107
Flaschka, H.; Newell, A. C.
1982
Random convection. Zbl 0185.55202
Newell, A. C.; Lange, C. G.; Aucoin, P. J.
1970
Pattern quarks and leptons. Zbl 1245.81297
Newell, Alan C.
2012
Multiphase similarity solutions of integrable evolution equations. Zbl 1194.37102
Flaschka, H.; Newell, A. C.
1981
Shock bowing and vorticity dynamics during propagation into different transverse density profiles. Zbl 1056.76043
Kremeyer, K.; Nazarenko, S.; Newell, A. C.
2002
Patterns, defects and integrability. Zbl 0951.76024
Bowman, C.; Ercolani, N.; Indik, R.; Newell, Alan C.; Passot, T.
1998
Structure functions and breakdown criteria for wave turbulence. Zbl 1054.76040
Biven, L. J.; Connaughton, C.; Newell, A. C.
2003
Non-local MHD turbulence. Zbl 1010.76101
Nazarenko, S. V.; Newell, A. C.; Galtier, S.
2001
Spherical shells like hexagons: Cylinders prefer diamonds. I. Zbl 0263.73026
Lange, C. G.; Newell, A. C.
1973
Multiphase similarity solutions of integrable evolution equations. Zbl 0456.35076
Flaschka, H.; Newell, A. C.
1980
A new invariant in plant phyllotaxis. Zbl 1172.35351
Newell, Alan C.; Shipman, Patrick D.
2008
Wave turbulence is almost always intermittent at either small or large scales. Zbl 1152.76425
Newell, Alan C.
2002
Two dimensional convection patterns in large aspect ratio systems. Zbl 0531.76047
Newell, Alan C.
1983
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.
1984
Chaos and turbulence: Is there a connection? Zbl 0673.76066
Newell, Alan C.
1986
Convection at finite Rayleigh numbers in large aspect ratio containers. Zbl 0751.76061
Newell, A. C.; Passot, T.; Souli, M.
1990
Wave instability under short-wave amplitude modulations. Zbl 1426.76166
Rumpf, Benno; Newell, Alan C.
2013
A wavelet based algorithm for pattern analysis. Zbl 1194.76196
Bowman, Chris; Passot, Thierry; Assenheimer, Michel; Newell, Alan C.
1998
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.
1995
Mean creep: the soft mode in elastic sheet buckling. Zbl 1078.74010
Kücken, Michael; Newell, Alan C.; Shipman, Patrick D.
2005
Turbulent crystals in macroscopic systems. Zbl 0788.76012
Newell, Alan C.; Pomeau, Yves
1993
Global description of patterns far from onset: a case study. Zbl 1062.76017
Ercolani, N.; Indik, R.; Newell, A. C.; Passot, T.
2003
Lectures on wave turbulence and intermittency. Zbl 1271.76120
Newell, A.
2002
Elastic sheets, phase surfaces, and pattern universes. Zbl 1373.35305
Newell, Alan C.; Venkataramani, Shankar C.
2017
Elastic sheets, phase surfaces, and pattern universes. Zbl 1373.35305
Newell, Alan C.; Venkataramani, Shankar C.
2017
Whitecapping. Zbl 1353.35235
Dyachenko, S.; Newell, A. C.
2016
Phyllotaxis: some progress, but a story far from over. Zbl 1365.92058
Pennybacker, Matthew F.; Shipman, Patrick D.; Newell, Alan C.
2015
Wave turbulence: a story far from over. Zbl 1297.76088
Newell, Alan C.; Rumpf, Benno
2013
Wave instability under short-wave amplitude modulations. Zbl 1426.76166
Rumpf, Benno; Newell, Alan C.
2013
Pattern quarks and leptons. Zbl 1245.81297
Newell, Alan C.
2012
Wave turbulence. Zbl 1299.76006
Newell, Alan C.; Rumpf, Benno
2011
The role of the generalized Phillips’ spectrum in wave turbulence. Zbl 1221.76047
Newell, A. C.; Zakharov, V. E.
2008
Phyllotaxis: cooperation and competition between mechanical and biochemical processes. Zbl 1398.92155
Newell, Alan C.; Shipman, Patrick D.; Sun, Zhiying
2008
A new invariant in plant phyllotaxis. Zbl 1172.35351
Newell, Alan C.; Shipman, Patrick D.
2008
Plants and Fibonacci. Zbl 1092.92033
Newell, Alan C.; Shipman, Patrick D.
2005
Mean creep: the soft mode in elastic sheet buckling. Zbl 1078.74010
Kücken, Michael; Newell, Alan C.; Shipman, Patrick D.
2005
Nonlinear optics. Zbl 1054.78001
Moloney, Jerome; Newell, Alan
2004
Dimensional analysis and weak turbulence. Zbl 1098.76513
Connaughton, Colm; Nazarenko, Sergey; Newell, Alan C.
2003
Global description of patterns far from onset: a case study. Zbl 1051.76020
Ercolani, N.; Indik, R.; Newell, A. C.; Passot, T.
2003
Non-stationary spectra of local wave turbulence. Zbl 1098.76514
Connaughton, Colm; Newell, Alan C.; Pomeau, Yves
2003
Localization and coherence in nonintegrable systems. Zbl 1051.70011
Rumpf, Benno; Newell, Alan C.
2003
Structure functions and breakdown criteria for wave turbulence. Zbl 1054.76040
Biven, L. J.; Connaughton, C.; Newell, A. C.
2003
Global description of patterns far from onset: a case study. Zbl 1062.76017
Ercolani, N.; Indik, R.; Newell, A. C.; Passot, T.
2003
Shock bowing and vorticity dynamics during propagation into different transverse density profiles. Zbl 1056.76043
Kremeyer, K.; Nazarenko, S.; Newell, A. C.
2002
Wave turbulence is almost always intermittent at either small or large scales. Zbl 1152.76425
Newell, Alan C.
2002
Lectures on wave turbulence and intermittency. Zbl 1271.76120
Newell, A.
2002
Wave turbulence and intermittency. Zbl 1049.76033
Newell, Alan C.; Nazarenko, Sergey; Biven, Laura
2001
Breakdown of wave turbulence and the onset of intermittency. Zbl 0972.76047
Biven, L.; Nazarenko, S. V.; Newell, A. C.
2001
Non-local MHD turbulence. Zbl 1010.76101
Nazarenko, S. V.; Newell, A. C.; Galtier, S.
2001
The geometry of the phase diffusion equation. Zbl 0981.76087
Ercolani, N. M.; Indik, R.; Newell, A. C.; Passot, T.
2000
Nonlinear dynamics of sand banks and sand waves. Zbl 0956.76031
Komarova, Natalia L.; Newell, Alan C.
2000
A weak turbulence theory for incompressible magnetohydrodynamics. Zbl 0941.76045
Galtier, S.; Nazarenko, S.; Newell, A. C.; Pouquet, A.
1999
Quantum weak turbulence with applications to semiconductor lasers. Zbl 0938.82061
Lvov, Y. V.; Binder, R.; Newell, A. C.
1998
Patterns, defects and integrability. Zbl 0951.76024
Bowman, C.; Ercolani, N.; Indik, R.; Newell, Alan C.; Passot, T.
1998
A wavelet based algorithm for pattern analysis. Zbl 1194.76196
Bowman, Chris; Passot, Thierry; Assenheimer, Michel; Newell, Alan C.
1998
Universal description of laser dynamics near threshold. Zbl 0884.35009
Lega, J.; Moloney, J. V.; Newell, A. C.
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.
1995
Towards a universal theory for natural patterns. Zbl 0812.45008
Passot, T.; Newell, A. C.
1994
The effects of normal dispersion on collapse events. Zbl 0816.35127
Luther, G. G.; Newell, A. C.; Moloney, J. V.
1994
Space-time complexity in nonlinear optics. Zbl 0790.35106
Moloney, J. V.; Jakobsen, P. K.; Lega, J.; Wenden, S. G.; Newell, A. C.
1993
Turbulent crystals in macroscopic systems. Zbl 0788.76012
Newell, Alan C.; Pomeau, Yves
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.
1992
Local adaptive Galerkin bases for large-dimensional dynamical systems. Zbl 0729.58034
Broomhead, D. S.; Indik, R.; Newell, A. C.; Rand, D. A.
1991
Integrability. Zbl 0744.35054
Flaschka, H.; Newell, A. C.; Tabor, M.
1991
Nonlinear optics. Zbl 0714.35077
Moloney, Jerome V.; Newell, Alan C.
1990
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
1990
Convection at finite Rayleigh numbers in large aspect ratio containers. Zbl 0751.76061
Newell, A. C.; Passot, T.; Souli, M.
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.
1989
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.
1988
Turbulent transport and the random occurrence of coherent events. Zbl 0655.76046
Newell, Alan C.; Rand, David A.; Russell, David
1988
Numerical simulation of Rayleigh-Bénard convection in shallow tanks. Zbl 0649.76020
Arter, Wayne; Newell, Alan C.
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.
1988
A unified approach to Painlevé expansions. Zbl 0643.35096
Newell, A. C.; Tabor, M.; Zeng, Y. B.
1987
Benjamin-Feir turbulence in convective binary fluid mixtures. Zbl 0621.76057
Brand, Helmut R.; Lomdahl, Peter S.; Newell, Alan C.
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.
1986
The Hirota conditions. Zbl 0622.35069
Newell, Alan C.; Zeng, Yunbo
1986
Soliton mathematics. Zbl 0631.35001
Newell, Alan C.; Ratiu, Tudor; Tabor, Michael; Yunbo, Zeng
1986
Chaos and turbulence: Is there a connection? Zbl 0673.76066
Newell, Alan C.
1986
Solitons in mathematics and physics. Zbl 0565.35003
Newell, Alan C.
1985
Reflections from solitary waves in channels of decreasing depth. Zbl 0584.76024
Knickerbocker, C. J.; Newell, Alan C.
1985
Propagation of solitary waves in channels of decreasing depth. Zbl 0625.76023
Knickerbocker, C. J.; Newell, Alan C.
1985
Convection patterns in large aspect ratio systems. Zbl 0592.76052
Cross, M. C.; Newell, Alan C.
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.
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.
1983
The history of the soliton. Zbl 0553.76016
Newell, A. C.
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.
1983
Focusing: A mechanism for instability of nonlinear finite difference equations. Zbl 0512.65070
Briggs, William L.; Newell, Alan C.; Sarie, Talib
1983
Two dimensional convection patterns in large aspect ratio systems. Zbl 0531.76047
Newell, Alan C.
1983
The inverse monodromy transform is a canonical transformation. Zbl 0555.35107
Flaschka, H.; Newell, A. C.
1982
Multiphase similarity solutions of integrable evolution equations. Zbl 1194.37102
Flaschka, H.; Newell, A. C.
1981
Monodromy- and spectrum-preserving deformations. I. Zbl 0439.34005
Flaschka, Hermann; Newell, Alan C.
1980
Shelves and the Korteweg-de Vries equation. Zbl 0437.76020
Knickerbocker, C. J.; Newell, Alan C.
1980
Multiphase similarity solutions of integrable evolution equations. Zbl 0456.35076
Flaschka, H.; Newell, A. C.
1980
The general structure of integrable evolution equations. Zbl 0403.35048
Newell, A. C.
1979
Evolution equations, singular dispersion relations, and moving eigenvalues. Zbl 0399.35056
Kaup, David J.; Newell, Alan C.
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
1979
An exact solution for a derivative nonlinear Schrödinger equation. Zbl 0383.35015
Kaup, David J.; Newell, Alan C.
1978
Near-integrable systems, nonlinear tunnelling and solitons in slowly changing media. Zbl 0411.35008
Newell, A. C.
1978
Long waves-short waves; A solvable model. Zbl 0403.76024
Newell, Alan C.
1978
The Goursat and Cauchy problems for the sine-Gordon equation. Zbl 0373.35047
Kaup, David J.; Newell, Alan C.
1978
Nonlinear tunnelling. Zbl 0383.35046
Newell, Alan C.
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
1978
The inverse scattering transform, nonlinear waves, singular perturbations and synchronized solitons. Zbl 0403.35085
Newell, Alan C.
1978
Finite amplitude instabilities of partial difference equations. Zbl 0359.35069
Newell, Alan C.
1977
Synchronized solitons. Zbl 0362.35057
Newell, Alan C.
1977
Integrable systems of nonlinear evolution equations. Zbl 0362.35043
Flaschka, Hermann; Newell, Alan C.
1975
The inverse scattering transform-Fourier analysis for nonlinear problems. Zbl 0408.35068
Ablowitz, Mark J.; Kaup, David J.; Newell, Alan C.; Segur, Harvey
1974
A stability criterion for envelope equations. Zbl 0292.35047
Lange, Charles G.; Newell, Alan C.
1974
Envelope equations. Zbl 0291.35005
Newell, Alan C.
1974
Nonlinear wave motion. Proceedings of the Summer seminar, Potsdam, New York, 1972. Zbl 0277.00012
1974
Nonlinear-evolution equations of physical significance. Zbl 1243.35143
Ablowitz, Mark J.; Kaup, David J.; Newell, Alan C.; Segur, Harvey
1973
The decay of the continuous spectrum for solutions of the Korteweg-de Vries equation. Zbl 0261.35070
Ablowitz, Mark J.; Newell, Alan C.
1973
Semi-resonant interactions and frequency dividers. Zbl 0257.70017
Ablowitz, M. J.; Funk, B. A.; Newell, A. C.
1973
Spherical shells like hexagons: Cylinders prefer diamonds. I. Zbl 0263.73026
Lange, C. G.; Newell, A. C.
1973
The post-buckling problem for thin elastic shells. Zbl 0229.73049
Lange, C. G.; Newell, A. C.
1971
Review of the finite bandwidth concept. Zbl 0247.76039
Newell, A. C.; Whitehead, J. A.
1971
Semidispersive wave systems. Zbl 0232.76021
Newell, Alan C.; Aucoin, P. J.
1971
Random convection. Zbl 0185.55202
Newell, A. C.; Lange, C. G.; Aucoin, P. J.
1970
Finite bandwidth, finite amplitude convection. Zbl 0187.25102
Newell, A. C.; Whitehead, J. A.
1969
Rossby wave packet interactions. Zbl 0176.54704
Newell, A. C.
1969
Random wave closures. Zbl 0185.55404
Benney, D. J.; Newell, A. C.
1969
An alternative proof of the Poincaré-Bertrand formula for real integrals and its generalization to $$n$$ dimensions. Zbl 0177.08005
Newell, Alan C.
1968
The propagation of nonlinear wave envelopes. Zbl 0153.30301
Benney, D. J.; Newell, A. C.
1967
Sequential time closures for interacting random waves. Zbl 0159.59302
Benney, D. J.; Newell, A. C.
1967
...and 1 more Documents
all top 5

#### Cited by 2,752 Authors

 60 Ma, Wen-Xiu 41 Newell, Alan C. 39 Ablowitz, Mark Jay 25 Fan, Engui 22 Fokas, Athanassios S. 20 Grimshaw, Roger Hamilton James 20 Tian, Bo 19 Kaup, David J. 18 Gerdzhikov, Vladimir Stefanov 18 Its, Alexander Rudolfovich 17 Clarkson, Peter A. 16 Geng, Xianguo 16 Yan, Zhenya 15 Schneider, Guido 15 Zeng, Yunbo 14 He, Jingsong 14 Nazarenko, Sergeĭ Vital’evich 14 Sulem, Catherine 13 Sakhnovich, Alexander L. 13 Segur, Harvey 12 Kudryashov, Nikolaĭ Alekseevich 12 Pelinovsky, Dmitry Efimovich 12 Qiao, Zhijun 12 Van der Mee, Cornelis Victor Maria 11 Ercolani, Nicholas M. 11 Gao, Yitian 11 Konopelchenko, Boris Georgievich 11 Macías-Díaz, Jorge Eduardo 11 McLaughlin, David W. 11 Pickering, Andrew 11 Shen, Shoufeng 11 Vitanov, Nikolay K. 11 Zakharov, Vladimir Evgen’evich 11 Zhang, Hongqing 11 Zhang, Yufeng 10 Benney, David J. 10 Demontis, Francesco 10 Dimitrova, Zlatinka I. 10 Guo, Boling 10 Ling, Liming 10 Tenenblat, Keti 10 Wazwaz, Abdul-Majid Abdul-Rahman 10 Zhang, Dajun 9 Beals, Richard W. 9 Biondini, Gino 9 Caudrelier, Vincent 9 Kitaev, Alexander V. 9 Lü, Xing 9 Prykarpatsky, Anatoliy Karolevych 9 Yang, Jianke 9 Zhang, Haiqiang 8 Chen, Dengyuan 8 Cheng, Yi 8 Deift, Percy A. 8 Feng, Baofeng 8 Gordoa, Pilar Ruiz 8 Novokshenov, Viktor Yur’evich 8 Passot, Thierry 8 Santini, Paolo Maria 8 Vakhnenko, Oleksiy O. 8 Xue, Bo 8 Zhou, Xin 7 Chen, Yong 7 Connaughton, Colm P. 7 Hou, Yu 7 Hryniv, Rostyslav O. 7 Kapaev, Andrei A. 7 Kulish, Petr Petrovich 7 Kundu, Anjan 7 Liu, Jiaqi 7 Luo, Xudan 7 Maugin, Gérard A. 7 Osborne, Alfred R. 7 Perry, Peter A. 7 Sahadevan, Ramajayam 7 Strampp, Walter 7 Xu, Tao 7 Zhu, Zuonong 6 Bu, Charles 6 Chen, Jinbing 6 Christov, Christo Ivanov 6 Daniels, P. G. 6 Deconinck, Bernard 6 Doelman, Arjen 6 Guha, Partha 6 Helminck, Gerardus Franciscus 6 Hereman, Willy A. 6 Joshi, Nalini 6 Kovačič, Gregor 6 Lee, Jyhhao 6 Liu, Wenjun J. 6 Miller, Peter D. 6 Nguyen, Nghiem V. 6 Oh, Tadahiro 6 Onorato, Miguel 6 Pomeau, Yves 6 Porsezian, Kuppusamy 6 Qi, Fenghua 6 Qu, Changzheng 6 Rogers, Colin ...and 2,652 more Authors
all top 5

#### Cited in 306 Serials

 297 Journal of Mathematical Physics 239 Physica D 116 Studies in Applied Mathematics 106 Journal of Fluid Mechanics 63 Applied Mathematics and Computation 62 Chaos, Solitons and Fractals 61 Communications in Mathematical Physics 58 Communications in Nonlinear Science and Numerical Simulation 57 Theoretical and Mathematical Physics 43 Wave Motion 42 Journal of Mathematical Analysis and Applications 37 Nonlinear Dynamics 36 Journal of Nonlinear Mathematical Physics 35 Journal of Differential Equations 34 Letters in Mathematical Physics 33 Chaos 31 Physics Letters. A 31 Applied Mathematics Letters 30 Physics of Fluids 26 Journal of Geometry and Physics 25 Journal of Nonlinear Science 22 Acta Applicandae Mathematicae 21 International Journal of Theoretical Physics 19 Journal of Computational Physics 17 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 16 Journal of Mathematical Sciences (New York) 15 Communications on Pure and Applied Mathematics 15 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 14 Nonlinearity 13 ZAMP. Zeitschrift für angewandte Mathematik und Physik 13 European Journal of Mechanics. B. Fluids 12 Journal of Statistical Physics 11 International Journal of Modern Physics B 11 Communications in Partial Differential Equations 10 Applicable Analysis 10 Computers & Mathematics with Applications 10 Physics of Fluids 10 Reports on Mathematical Physics 10 Journal of Soviet Mathematics 10 Mathematics and Computers in Simulation 10 Applied Numerical Mathematics 10 Mathematical Physics, Analysis and Geometry 10 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications 9 Mathematical Methods in the Applied Sciences 9 Physica A 8 Physics of Fluids, A 8 Journal of Computational and Applied Mathematics 8 Proceedings of the American Mathematical Society 8 Proceedings of the Japan Academy. Series A 8 Transactions of the American Mathematical Society 8 Applied Mathematics and Mechanics. (English Edition) 8 Acta Mathematicae Applicatae Sinica. English Series 8 Constructive Approximation 8 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 8 SIAM Journal on Mathematical Analysis 8 Proceedings of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences 8 Physical Review Letters 8 International Journal of Geometric Methods in Modern Physics 8 Advances in Mathematical Physics 7 Computer Physics Communications 7 Ukrainian Mathematical Journal 7 Reviews in Mathematical Physics 7 Advances in Mathematics 7 Duke Mathematical Journal 7 Functional Analysis and its Applications 7 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 7 Discrete and Continuous Dynamical Systems 7 Nonlinear Analysis. Real World Applications 7 Communications on Pure and Applied Analysis 7 Journal of Physics A: Mathematical and Theoretical 6 Journal of the Mechanics and Physics of Solids 6 Physics Reports 6 Bulletin of the American Mathematical Society. New Series 6 Nonlinear Analysis. Theory, Methods & Applications 6 Proceedings of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences 5 Acta Mechanica 5 Journal of Mathematical Biology 5 Mathematical Notes 5 Nuclear Physics. B 5 Quarterly of Applied Mathematics 5 Computational Mathematics and Mathematical Physics 5 International Journal of Computer Mathematics 5 Computational and Applied Mathematics 5 Journal of Difference Equations and Applications 5 Abstract and Applied Analysis 5 Wuhan University Journal of Natural Sciences (WUJNS) 5 Journal of Modern Optics 5 Differential Equations 5 Discrete and Continuous Dynamical Systems. Series B 5 SIAM Journal on Applied Dynamical Systems 5 Advances in Difference Equations 5 Discrete and Continuous Dynamical Systems. Series S 5 Analysis and Mathematical Physics 5 Journal of Theoretical Biology 5 Philosophical Transactions of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences 4 International Journal of Modern Physics A 4 Fluid Dynamics 4 Bulletin of Mathematical Biology 4 Integral Equations and Operator Theory 4 Mathematische Annalen ...and 206 more Serials
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#### Cited in 53 Fields

 1,590 Partial differential equations (35-XX) 859 Dynamical systems and ergodic theory (37-XX) 480 Fluid mechanics (76-XX) 265 Ordinary differential equations (34-XX) 202 Quantum theory (81-XX) 130 Numerical analysis (65-XX) 108 Statistical mechanics, structure of matter (82-XX) 101 Optics, electromagnetic theory (78-XX) 82 Global analysis, analysis on manifolds (58-XX) 73 Mechanics of deformable solids (74-XX) 67 Differential geometry (53-XX) 66 Nonassociative rings and algebras (17-XX) 61 Mechanics of particles and systems (70-XX) 56 Operator theory (47-XX) 49 Biology and other natural sciences (92-XX) 46 Difference and functional equations (39-XX) 43 Special functions (33-XX) 39 Probability theory and stochastic processes (60-XX) 39 Geophysics (86-XX) 32 Algebraic geometry (14-XX) 30 Integral equations (45-XX) 26 Classical thermodynamics, heat transfer (80-XX) 21 Functions of a complex variable (30-XX) 21 Relativity and gravitational theory (83-XX) 19 Topological groups, Lie groups (22-XX) 19 Computer science (68-XX) 18 Linear and multilinear algebra; matrix theory (15-XX) 15 Harmonic analysis on Euclidean spaces (42-XX) 13 Calculus of variations and optimal control; optimization (49-XX) 13 Systems theory; control (93-XX) 12 Approximations and expansions (41-XX) 8 General and overarching topics; collections (00-XX) 8 Several complex variables and analytic spaces (32-XX) 7 Functional analysis (46-XX) 6 History and biography (01-XX) 6 Real functions (26-XX) 6 Statistics (62-XX) 6 Astronomy and astrophysics (85-XX) 4 Number theory (11-XX) 4 Group theory and generalizations (20-XX) 4 Algebraic topology (55-XX) 3 Combinatorics (05-XX) 3 Integral transforms, operational calculus (44-XX) 3 Convex and discrete geometry (52-XX) 2 Associative rings and algebras (16-XX) 2 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 2 Information and communication theory, circuits (94-XX) 1 Commutative algebra (13-XX) 1 Measure and integration (28-XX) 1 Sequences, series, summability (40-XX) 1 Geometry (51-XX) 1 General topology (54-XX) 1 Operations research, mathematical programming (90-XX)

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