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## Deconinck, Bernard

Compute Distance To:
 Author ID: deconinck.bernard Published as: Deconinck, B.; Deconinck, Bernard
 Documents Indexed: 68 Publications since 1996
all top 5

#### Co-Authors

 4 single-authored 8 Vasan, Vishal 7 Kutz, J. Nathan 7 Trogdon, Thomas 6 Sheils, Natalie E. 5 Nivala, Michael 5 Oliveras, Katie L. 5 Trichtchenko, Olga 4 Carter, John D. 4 Nguyen, Nghiem V. 4 Segal, Benjamin Louis 3 Patterson, Matthew S. 3 Segur, Harvey 3 Upsal, Jeremy 2 Bottman, Nathaniel 2 Curtis, Christopher W. 2 Frigyik, Béla A. 2 Henderson, Diane M. 2 Hereman, Willy A. 2 Kapitula, Todd M. 2 Kollár, Richard 2 Pelinovsky, Dmitry Efimovich 2 Tian, Rushun 2 van Hoeij, Mark 1 Bobenko, Alexander Ivanovich 1 Bradley, R. Mark 1 Chen, Min 1 Colagrosso, Michael 1 Guo, Qi 1 Heil, Matthias 1 Hickman, Mark S. 1 Kalisch, Henrik 1 Kimura, Yoshifumi 1 Kiyak, Firat 1 Kurkina, O. E. 1 Lee, Crystal W. 1 Lovit, David O. 1 McGill, Peter 1 Moldabayev, Daulet 1 Olver, Sheehan Shakiban 1 Poole, L. D. 1 Ringler, Adam 1 Rouvinskaya, E. A. 1 Sayers, Ryan 1 Schmies, Markus 1 Shlizerman, Eli 1 Smith, David Andrew 1 Thelwell, Roger J. 1 Warner, Brandon W. 1 Wilkening, Jon A.
all top 5

#### Serials

 9 Physica D 6 Physics Letters. A 5 Studies in Applied Mathematics 4 Journal of Physics A: Mathematical and Theoretical 3 Mathematics and Computers in Simulation 3 Applied Mathematics Letters 3 Journal of Physics A: Mathematical and General 3 SIAM Review 3 Discrete and Continuous Dynamical Systems 2 Applicable Analysis 2 Journal of Fluid Mechanics 2 Wave Motion 2 Mathematics of Computation 2 SIAM Journal on Mathematical Analysis 2 European Journal of Mechanics. B. Fluids 2 SIAM Journal on Applied Dynamical Systems 1 Communications in Mathematical Physics 1 Journal of Computational Physics 1 Journal of Mathematical Physics 1 Nonlinearity 1 Theoretical and Mathematical Physics 1 Quarterly of Applied Mathematics 1 SIAM Journal on Applied Mathematics 1 Journal of Nonlinear Science 1 Mathematical Physics, Analysis and Geometry 1 Proceedings of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences 1 Journal of Nonlinear Mathematical Physics
all top 5

#### Fields

 50 Partial differential equations (35-XX) 24 Dynamical systems and ergodic theory (37-XX) 15 Fluid mechanics (76-XX) 11 Numerical analysis (65-XX) 5 Algebraic geometry (14-XX) 5 Quantum theory (81-XX) 3 Ordinary differential equations (34-XX) 3 Statistical mechanics, structure of matter (82-XX) 2 General and overarching topics; collections (00-XX) 2 Functions of a complex variable (30-XX) 2 Harmonic analysis on Euclidean spaces (42-XX) 2 Classical thermodynamics, heat transfer (80-XX) 1 Number theory (11-XX) 1 Special functions (33-XX) 1 Difference and functional equations (39-XX) 1 Operator theory (47-XX) 1 Computer science (68-XX) 1 Mechanics of particles and systems (70-XX) 1 Geophysics (86-XX) 1 Systems theory; control (93-XX)

#### Citations contained in zbMATH

59 Publications have been cited 589 times in 361 Documents Cited by Year
Computing spectra of linear operators using the Floquet-Fourier-Hill method. Zbl 1105.65119
Deconinck, Bernard; Kutz, J. Nathan
2006
Recovering the water-wave profile from pressure measurements. Zbl 1343.76005
Oliveras, K. L.; Vasan, V.; Deconinck, B.; Henderson, D.
2012
The instability of periodic surface gravity waves. Zbl 1241.76212
Deconinck, Bernard; Oliveras, Katie
2011
KdV cnoidal waves are spectrally stable. Zbl 1178.35327
Bottman, Nate; Deconinck, Bernard
2009
Computing Riemann matrices of algebraic curves. Zbl 1054.14079
Deconinck, Bernard; van Hoeij, Mark
2001
Computing Riemann theta functions. Zbl 1092.33018
Deconinck, Bernard; Heil, Matthias; Bobenko, Alexander; van Hoeij, Mark; Schmies, Marcus
2004
The method of fokas for solving linear partial differential equations. Zbl 1295.35002
Deconinck, Bernard; Trogdon, Thomas; Vasan, Vishal
2014
The orbital stability of the cnoidal waves of the Korteweg-de Vries equation. Zbl 1238.35128
Deconinck, Bernard; Kapitula, Todd
2010
Global existence for a coupled system of Schrödinger equations with power-type nonlinearities. Zbl 1286.35230
Nguyen, Nghiem V.; Tian, Rushun; Deconinck, Bernard; Sheils, Natalie
2013
On the spectral and orbital stability of spatially periodic stationary solutions of generalized Korteweg-de Vries equations. Zbl 1331.35305
Kapitula, Todd; Deconinck, Bernard
2015
Continuous and discrete homotopy operators and the computation of conservation laws. Zbl 1161.65376
Hereman, Willy; Colagrosso, Michael; Sayers, Ryan; Ringler, Adam; Deconinck, Bernard; Nivala, Michael; Hickman, Mark
2005
The inverse water wave problem of bathymetry detection. Zbl 1284.76077
Vasan, Vishal; Deconinck, Bernard
2013
Numerical inverse scattering for the Korteweg-de Vries and modified Korteweg-de Vries equations. Zbl 1248.65108
Trogdon, Thomas; Olver, Sheehan; Deconinck, Bernard
2012
Elliptic solutions of the defocusing NLS equation are stable. Zbl 1222.81157
Bottman, Nathaniel; Deconinck, Bernard; Nivala, Michael
2011
The stability analysis of the periodic traveling wave solutions of the mKdV equation. Zbl 1231.35197
Deconinck, B.; Nivala, M.
2011
SpectrUW: a laboratory for the numerical exploration of spectra of linear operators. Zbl 1113.65058
Deconinck, Bernard; Kiyak, Firat; Carter, John D.; Kutz, J. Nathan
2007
High-frequency instabilities of small-amplitude solutions of Hamiltonian PDEs. Zbl 1365.37057
Deconinck, Bernard; Trichtchenko, Olga
2017
Dynamics and stability of Bose-Einstein condensates: the nonlinear Schrödinger equation with periodic potential. Zbl 1009.35078
Deconinck, B.; Frigyik, B. A.; Kutz, J. N.
2002
Stability of periodic gravity waves in the presence of surface tension. Zbl 1297.76028
Deconinck, Bernard; Trichtchenko, Olga
2014
On the convergence of Hill’s method. Zbl 1205.34116
Curtis, Christopher W.; Deconinck, Bernard
2010
Transverse instabilities of deep-water solitary waves. Zbl 1149.76627
Deconinck, Bernard; Pelinovsky, Dmitry E.; Carter, John D.
2006
Spectral stability of stationary solutions of a Boussinesq system describing long waves in dispersive media. Zbl 1300.35090
Chen, Min; Curtis, Christopher W.; Deconinck, Bernard; Lee, Crystal W.; Nguyen, Nghiem
2010
The linear KdV equation with an interface. Zbl 1351.35170
Deconinck, Bernard; Sheils, Natalie E.; Smith, David A.
2016
Relating the bottom pressure and the surface elevation in the water wave problem. Zbl 1362.35220
Deconinck, B.; Oliveras, K. L.; Vasan, V.
2012
Pole dynamics for elliptic solutions of the Korteweg-de Vries equation. Zbl 0970.35130
Deconinck, Bernard; Segur, Harvey
2000
Interface problems for dispersive equations. Zbl 1314.35125
Sheils, Natalie E.; Deconinck, Bernard
2015
Short-wave transverse instabilities of line solitons of the two-dimensional hyperbolic nonlinear Schrödinger equation. Zbl 1301.35156
Pelinovsky, D. E.; Rouvinskaya, E. A.; Kurkina, O. E.; Deconinck, B.
2014
The solution of linear constant-coefficient evolution PDEs with periodic boundary conditions. Zbl 1242.35011
Trogdon, Thomas; Deconinck, Bernard
2012
Computing with plane algebraic curves and Riemann surfaces: the algorithms of the Maple package “algcurves”. Zbl 1213.14114
Deconinck, Bernard; Patterson, Matthew S.
2011
Initial-to-interface maps for the heat equation on composite domains. Zbl 1346.35195
Sheils, Natalie E.; Deconinck, Bernard
2016
A Riemann-Hilbert problem for the finite-genus solutions of the KdV equation and its numerical solution. Zbl 1278.37050
Trogdon, Thomas; Deconinck, Bernard
2013
Periodic finite-genus solutions of the KdV equation are orbitally stable. Zbl 1189.37080
Nivala, Michael; Deconinck, Bernard
2010
Dynamics of periodic multi-component Bose-Einstein condensates. Zbl 1038.82056
Deconinck, Bernard; Kutz, J. Nathan; Patterson, Matthew S.; Warner, Brandon W.
2003
A constructive test for integrability of semi-discrete systems. Zbl 1037.37505
Deconinck, Bernard
1996
Numerical computation of the finite-genus solutions of the Korteweg-de Vries equation via Riemann-Hilbert problems. Zbl 1255.65177
Trogdon, Thomas; Deconinck, Bernard
2013
Symbolic integration using homotopy methods. Zbl 1182.65044
Deconinck, Bernard; Nivala, Michael
2009
Continuous and discrete homotopy operators: a theoretical approach made concrete. Zbl 1120.65073
Hereman, W.; Deconinck, B.; Poole, L. D.
2007
Exact nonstationary solutions to the mean-field equations of motion for two-component Bose-Einstein condensates in periodic potentials. Zbl 1136.82339
Bradley, R. Mark; Deconinck, Bernard; Kutz, J. Nathan
2005
The KP equation with quasiperiodic initial data. Zbl 0938.35165
Deconinck, Bernard; Segur, Harvey
1998
The stability spectrum for elliptic solutions to the sine-Gordon equation. Zbl 1378.35028
Deconinck, Bernard; McGill, Peter; Segal, Benjamin L.
2017
A numerical dressing method for the nonlinear superposition of solutions of the KdV equation. Zbl 1302.65234
Trogdon, Thomas; Deconinck, Bernard
2014
Well-posedness of boundary-value problems for the linear Benjamin-Bona-Mahony equation. Zbl 1277.35115
Vasan, Vishal; Deconinck, Bernard
2013
The Bernoulli boundary condition for traveling water waves. Zbl 1320.76022
Vasan, Vishal; Deconinck, Bernard
2013
Computing the Abel map. Zbl 1200.37069
Deconinck, Bernard; Patterson, Matthew S.
2008
Instabilities of one-dimensional trivial-phase solutions of the two-dimensional cubic nonlinear Schrödinger equation. Zbl 1091.35086
Carter, John D.; Deconinck, Bernard
2006
Stability of exact solutions of the defocusing nonlinear Schrödinger equation with periodic potential in two dimensions. Zbl 0984.81028
Deconinck, B.; Frigyik, B. A.; Kutz, J. N.
2001
Stability of periodic traveling wave solutions to the Kawahara equation. Zbl 1404.76054
Trichtchenko, Olga; Deconinck, Bernard; Kollár, Richard
2018
The stability spectrum for elliptic solutions to the focusing NLS equation. Zbl 1415.35251
Deconinck, Bernard; Segal, Benjamin L.
2017
Explicit solutions for a long-wave model with constant vorticity. Zbl 1408.76087
Segal, Benjamin L.; Moldabayev, Daulet; Kalisch, Henrik; Deconinck, Bernard
2017
The interaction of long and short waves in dispersive media. Zbl 1349.76030
Deconinck, Bernard; Nguyen, Nghiem V.; Segal, Benjamin L.
2016
Heat conduction on the ring: interface problems with periodic boundary conditions. Zbl 1314.80002
Sheils, Natalie E.; Deconinck, Bernard
2014
Direct characterization of spectral stability of small-amplitude periodic waves in scalar Hamiltonian problems via dispersion relation. Zbl 1426.37053
Kollár, Richard; Deconinck, Bernard; Trichtchenko, Olga
2019
Fokas’s unified transform method for linear systems. Zbl 1407.35004
Deconinck, Bernard; Guo, Qi; Shlizerman, Eli; Vasan, Vishal
2018
The instability of Wilton ripples. Zbl 07209829
Trichtchenko, Olga; Deconinck, Bernard; Wilkening, Jon
2016
Singular instability of exact stationary solutions of the non-local Gross-Pitaevskii equation. Zbl 1045.35077
Deconinck, Bernard; Kutz, J. Nathan
2003
The instabilities of periodic traveling water waves with respect to transverse perturbations. Zbl 1326.35283
Oliveras, Katie; Deconinck, Bernard
2015
Data analysis and reduction using stationary solutions of the NLS equation. Zbl 1191.81110
Deconinck, Bernard; Lovit, David O.
2010
The pole dynamics of rational solutions of the viscous Burgers equation. Zbl 1119.35074
Deconinck, Bernard; Kimura, Yoshifumi; Segur, Harvey
2007
Canonical variables for multiphase solutions of the KP equation. Zbl 1002.37033
Deconinck, Bernard
2000
Direct characterization of spectral stability of small-amplitude periodic waves in scalar Hamiltonian problems via dispersion relation. Zbl 1426.37053
Kollár, Richard; Deconinck, Bernard; Trichtchenko, Olga
2019
Stability of periodic traveling wave solutions to the Kawahara equation. Zbl 1404.76054
Trichtchenko, Olga; Deconinck, Bernard; Kollár, Richard
2018
Fokas’s unified transform method for linear systems. Zbl 1407.35004
Deconinck, Bernard; Guo, Qi; Shlizerman, Eli; Vasan, Vishal
2018
High-frequency instabilities of small-amplitude solutions of Hamiltonian PDEs. Zbl 1365.37057
Deconinck, Bernard; Trichtchenko, Olga
2017
The stability spectrum for elliptic solutions to the sine-Gordon equation. Zbl 1378.35028
Deconinck, Bernard; McGill, Peter; Segal, Benjamin L.
2017
The stability spectrum for elliptic solutions to the focusing NLS equation. Zbl 1415.35251
Deconinck, Bernard; Segal, Benjamin L.
2017
Explicit solutions for a long-wave model with constant vorticity. Zbl 1408.76087
Segal, Benjamin L.; Moldabayev, Daulet; Kalisch, Henrik; Deconinck, Bernard
2017
The linear KdV equation with an interface. Zbl 1351.35170
Deconinck, Bernard; Sheils, Natalie E.; Smith, David A.
2016
Initial-to-interface maps for the heat equation on composite domains. Zbl 1346.35195
Sheils, Natalie E.; Deconinck, Bernard
2016
The interaction of long and short waves in dispersive media. Zbl 1349.76030
Deconinck, Bernard; Nguyen, Nghiem V.; Segal, Benjamin L.
2016
The instability of Wilton ripples. Zbl 07209829
Trichtchenko, Olga; Deconinck, Bernard; Wilkening, Jon
2016
On the spectral and orbital stability of spatially periodic stationary solutions of generalized Korteweg-de Vries equations. Zbl 1331.35305
Kapitula, Todd; Deconinck, Bernard
2015
Interface problems for dispersive equations. Zbl 1314.35125
Sheils, Natalie E.; Deconinck, Bernard
2015
The instabilities of periodic traveling water waves with respect to transverse perturbations. Zbl 1326.35283
Oliveras, Katie; Deconinck, Bernard
2015
The method of fokas for solving linear partial differential equations. Zbl 1295.35002
Deconinck, Bernard; Trogdon, Thomas; Vasan, Vishal
2014
Stability of periodic gravity waves in the presence of surface tension. Zbl 1297.76028
Deconinck, Bernard; Trichtchenko, Olga
2014
Short-wave transverse instabilities of line solitons of the two-dimensional hyperbolic nonlinear Schrödinger equation. Zbl 1301.35156
Pelinovsky, D. E.; Rouvinskaya, E. A.; Kurkina, O. E.; Deconinck, B.
2014
A numerical dressing method for the nonlinear superposition of solutions of the KdV equation. Zbl 1302.65234
Trogdon, Thomas; Deconinck, Bernard
2014
Heat conduction on the ring: interface problems with periodic boundary conditions. Zbl 1314.80002
Sheils, Natalie E.; Deconinck, Bernard
2014
Global existence for a coupled system of Schrödinger equations with power-type nonlinearities. Zbl 1286.35230
Nguyen, Nghiem V.; Tian, Rushun; Deconinck, Bernard; Sheils, Natalie
2013
The inverse water wave problem of bathymetry detection. Zbl 1284.76077
Vasan, Vishal; Deconinck, Bernard
2013
A Riemann-Hilbert problem for the finite-genus solutions of the KdV equation and its numerical solution. Zbl 1278.37050
Trogdon, Thomas; Deconinck, Bernard
2013
Numerical computation of the finite-genus solutions of the Korteweg-de Vries equation via Riemann-Hilbert problems. Zbl 1255.65177
Trogdon, Thomas; Deconinck, Bernard
2013
Well-posedness of boundary-value problems for the linear Benjamin-Bona-Mahony equation. Zbl 1277.35115
Vasan, Vishal; Deconinck, Bernard
2013
The Bernoulli boundary condition for traveling water waves. Zbl 1320.76022
Vasan, Vishal; Deconinck, Bernard
2013
Recovering the water-wave profile from pressure measurements. Zbl 1343.76005
Oliveras, K. L.; Vasan, V.; Deconinck, B.; Henderson, D.
2012
Numerical inverse scattering for the Korteweg-de Vries and modified Korteweg-de Vries equations. Zbl 1248.65108
Trogdon, Thomas; Olver, Sheehan; Deconinck, Bernard
2012
Relating the bottom pressure and the surface elevation in the water wave problem. Zbl 1362.35220
Deconinck, B.; Oliveras, K. L.; Vasan, V.
2012
The solution of linear constant-coefficient evolution PDEs with periodic boundary conditions. Zbl 1242.35011
Trogdon, Thomas; Deconinck, Bernard
2012
The instability of periodic surface gravity waves. Zbl 1241.76212
Deconinck, Bernard; Oliveras, Katie
2011
Elliptic solutions of the defocusing NLS equation are stable. Zbl 1222.81157
Bottman, Nathaniel; Deconinck, Bernard; Nivala, Michael
2011
The stability analysis of the periodic traveling wave solutions of the mKdV equation. Zbl 1231.35197
Deconinck, B.; Nivala, M.
2011
Computing with plane algebraic curves and Riemann surfaces: the algorithms of the Maple package “algcurves”. Zbl 1213.14114
Deconinck, Bernard; Patterson, Matthew S.
2011
The orbital stability of the cnoidal waves of the Korteweg-de Vries equation. Zbl 1238.35128
Deconinck, Bernard; Kapitula, Todd
2010
On the convergence of Hill’s method. Zbl 1205.34116
Curtis, Christopher W.; Deconinck, Bernard
2010
Spectral stability of stationary solutions of a Boussinesq system describing long waves in dispersive media. Zbl 1300.35090
Chen, Min; Curtis, Christopher W.; Deconinck, Bernard; Lee, Crystal W.; Nguyen, Nghiem
2010
Periodic finite-genus solutions of the KdV equation are orbitally stable. Zbl 1189.37080
Nivala, Michael; Deconinck, Bernard
2010
Data analysis and reduction using stationary solutions of the NLS equation. Zbl 1191.81110
Deconinck, Bernard; Lovit, David O.
2010
KdV cnoidal waves are spectrally stable. Zbl 1178.35327
Bottman, Nate; Deconinck, Bernard
2009
Symbolic integration using homotopy methods. Zbl 1182.65044
Deconinck, Bernard; Nivala, Michael
2009
Computing the Abel map. Zbl 1200.37069
Deconinck, Bernard; Patterson, Matthew S.
2008
SpectrUW: a laboratory for the numerical exploration of spectra of linear operators. Zbl 1113.65058
Deconinck, Bernard; Kiyak, Firat; Carter, John D.; Kutz, J. Nathan
2007
Continuous and discrete homotopy operators: a theoretical approach made concrete. Zbl 1120.65073
Hereman, W.; Deconinck, B.; Poole, L. D.
2007
The pole dynamics of rational solutions of the viscous Burgers equation. Zbl 1119.35074
Deconinck, Bernard; Kimura, Yoshifumi; Segur, Harvey
2007
Computing spectra of linear operators using the Floquet-Fourier-Hill method. Zbl 1105.65119
Deconinck, Bernard; Kutz, J. Nathan
2006
Transverse instabilities of deep-water solitary waves. Zbl 1149.76627
Deconinck, Bernard; Pelinovsky, Dmitry E.; Carter, John D.
2006
Instabilities of one-dimensional trivial-phase solutions of the two-dimensional cubic nonlinear Schrödinger equation. Zbl 1091.35086
Carter, John D.; Deconinck, Bernard
2006
Continuous and discrete homotopy operators and the computation of conservation laws. Zbl 1161.65376
Hereman, Willy; Colagrosso, Michael; Sayers, Ryan; Ringler, Adam; Deconinck, Bernard; Nivala, Michael; Hickman, Mark
2005
Exact nonstationary solutions to the mean-field equations of motion for two-component Bose-Einstein condensates in periodic potentials. Zbl 1136.82339
Bradley, R. Mark; Deconinck, Bernard; Kutz, J. Nathan
2005
Computing Riemann theta functions. Zbl 1092.33018
Deconinck, Bernard; Heil, Matthias; Bobenko, Alexander; van Hoeij, Mark; Schmies, Marcus
2004
Dynamics of periodic multi-component Bose-Einstein condensates. Zbl 1038.82056
Deconinck, Bernard; Kutz, J. Nathan; Patterson, Matthew S.; Warner, Brandon W.
2003
Singular instability of exact stationary solutions of the non-local Gross-Pitaevskii equation. Zbl 1045.35077
Deconinck, Bernard; Kutz, J. Nathan
2003
Dynamics and stability of Bose-Einstein condensates: the nonlinear Schrödinger equation with periodic potential. Zbl 1009.35078
Deconinck, B.; Frigyik, B. A.; Kutz, J. N.
2002
Computing Riemann matrices of algebraic curves. Zbl 1054.14079
Deconinck, Bernard; van Hoeij, Mark
2001
Stability of exact solutions of the defocusing nonlinear Schrödinger equation with periodic potential in two dimensions. Zbl 0984.81028
Deconinck, B.; Frigyik, B. A.; Kutz, J. N.
2001
Pole dynamics for elliptic solutions of the Korteweg-de Vries equation. Zbl 0970.35130
Deconinck, Bernard; Segur, Harvey
2000
Canonical variables for multiphase solutions of the KP equation. Zbl 1002.37033
Deconinck, Bernard
2000
The KP equation with quasiperiodic initial data. Zbl 0938.35165
Deconinck, Bernard; Segur, Harvey
1998
A constructive test for integrability of semi-discrete systems. Zbl 1037.37505
Deconinck, Bernard
1996
all top 5

#### Cited by 460 Authors

 33 Deconinck, Bernard 17 Johnson, Mathew A. 9 Fokas, Athanassios S. 9 Kapitula, Todd M. 9 Pelinovsky, Dmitry Efimovich 8 Hur, Vera Mikyoung 8 Klein, Christian 8 Trogdon, Thomas 8 Zumbrun, Kevin R. 7 Kalimeris, Konstantinos 6 Barker, Blake 6 Carter, John D. 6 Frauendiener, Jörg 6 Rodrigues, Luis Miguel 6 Sheils, Natalie E. 6 Trichtchenko, Olga 6 Vasan, Vishal 5 Haragus, Mariana 5 Hereman, Willy A. 5 Kalisch, Henrik 5 Noble, Pascal 5 Oliveras, Katie L. 5 Pastor, Ademir 4 Akers, Benjamin F. 4 Bilman, Deniz 4 Bronski, Jared C. 4 Clamond, Didier 4 Nicholls, David P. 4 Saanouni, Tarek 4 Sherratt, Jonathan A. 4 Smith, David Andrew 4 Stanislavova, Milena 4 Stefanov, Atanas G. 4 Wang, Dengshan 4 Zharinov, Victor Victorovich 3 Biondini, Gino 3 Bogatyrev, Andrei Borisovich 3 Cavalcante, Márcio 3 Chen, Robin Ming 3 Constantin, Adrian 3 Curtis, Christopher W. 3 Ehrnström, Mats 3 Himonas, A. Alexandrou 3 Kevrekidis, Panayotis G. 3 Lyons, Tony 3 Malomed, Boris A. 3 Mantzavinos, Dionyssios 3 Miller, Peter D. 3 Nachbin, André 3 Naeem, Imran 3 Naz, Rehana 3 Nivala, Michael 3 Părău, Emilian I. 3 Shimabukuro, Yusuke 3 Vanden-Broeck, Jean-Marc 3 Walsh, Samuel 3 Wen, Xiaoyong 2 Abid, Malek 2 Ablowitz, Mark Jay 2 Amann, Dominic 2 Anco, Stephen C. 2 Andrade, David 2 Ashton, Anthony C. L. 2 Basu, Biswajit 2 Bhattarai, Santosh 2 Blyth, Mark G. 2 Camassa, Roberto 2 Claassen, Kyle M. 2 Colbrook, Matthew J. 2 Cole, Justin T. 2 Constantin, Andrei 2 Corcho, Adán J. 2 Crowdy, Darren Gregory 2 Dasgupta, Anirvan 2 Dutykh, Denys 2 Farah, Luiz Gustavo 2 Gerdzhikov, Vladimir Stefanov 2 Gesztesy, Fritz 2 Göktaş, Ünal 2 Gou, Tianxiang 2 Grigor’ev, O. A. 2 Grinevich, Pëtr Georgievich 2 Grudsky, Sergei Mikhailovich 2 Hakkaev, Sevdzhan A. 2 Hsu, Hung-Chu 2 Ivey, Thomas A. 2 Jeanjean, Louis 2 Kara, Abdul Hamid 2 Kengne, Emmanuel 2 Kharif, Christian 2 Kollár, Richard 2 Kostov, Nikolay A. 2 Kutz, J. Nathan 2 Labrande, Hugo 2 Lafortune, Stéphane 2 Lannes, David 2 Lecaros, Rodrigo 2 Lenells, Jonatan 2 Liu, Qihuai 2 Liu, Yaqing ...and 360 more Authors
all top 5

#### Cited in 108 Serials

 34 Physica D 18 Journal of Fluid Mechanics 15 Journal of Mathematical Physics 15 Studies in Applied Mathematics 11 Journal of Differential Equations 10 European Journal of Mechanics. B. Fluids 9 Journal of Mathematical Analysis and Applications 8 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 8 SIAM Journal on Mathematical Analysis 8 Discrete and Continuous Dynamical Systems 8 Communications in Nonlinear Science and Numerical Simulation 7 Nonlinearity 7 Physics Letters. A 7 Mathematics of Computation 6 Mathematics and Computers in Simulation 6 Applied Mathematics Letters 6 SIAM Journal on Applied Mathematics 6 Nonlinear Analysis. Real World Applications 6 Computational Methods and Function Theory 6 Philosophical Transactions of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences 5 Communications in Mathematical Physics 5 Theoretical and Mathematical Physics 5 Nonlinear Dynamics 4 Applicable Analysis 4 Archive for Rational Mechanics and Analysis 4 Journal of Computational Physics 4 Wave Motion 4 Quarterly of Applied Mathematics 4 Journal of Symbolic Computation 4 Journal of Nonlinear Science 3 Computers & Mathematics with Applications 3 Letters in Mathematical Physics 3 Applied Mathematics and Computation 3 Journal of Computational and Applied Mathematics 3 Proceedings of the American Mathematical Society 3 Transactions of the American Mathematical Society 3 Journal of Mathematical Fluid Mechanics 3 Analysis and Mathematical Physics 2 Mathematical Methods in the Applied Sciences 2 ZAMP. Zeitschrift für angewandte Mathematik und Physik 2 European Journal of Applied Mathematics 2 Applied Mathematical Modelling 2 Linear Algebra and its Applications 2 Journal of Dynamics and Differential Equations 2 Experimental Mathematics 2 Advances in Computational Mathematics 2 Abstract and Applied Analysis 2 Chaos 2 Communications in Contemporary Mathematics 2 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications 2 Discrete and Continuous Dynamical Systems. Series S 2 Arabian Journal of Mathematics 2 SIAM Journal on Applied Algebra and Geometry 2 Water Waves 1 Acta Mechanica 1 Communications on Pure and Applied Mathematics 1 Inverse Problems 1 Journal of Engineering Mathematics 1 Journal of Mathematical Biology 1 Mathematical Proceedings of the Cambridge Philosophical Society 1 Zhurnal Vychislitel’noĭ Matematiki i Matematicheskoĭ Fiziki 1 Chaos, Solitons and Fractals 1 Journal of Geometry and Physics 1 Acta Arithmetica 1 BIT 1 Czechoslovak Mathematical Journal 1 Duke Mathematical Journal 1 Journal of Approximation Theory 1 Journal of Functional Analysis 1 Mathematische Annalen 1 SIAM Journal on Control and Optimization 1 Theoretical Computer Science 1 Systems & Control Letters 1 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 1 Applied Numerical Mathematics 1 Revista Matemática Iberoamericana 1 Japan Journal of Industrial and Applied Mathematics 1 M$$^3$$AS. Mathematical Models & Methods in Applied Sciences 1 Communications in Partial Differential Equations 1 Archive of Applied Mechanics 1 SIAM Journal on Scientific Computing 1 Opuscula Mathematica 1 Mathematical Problems in Engineering 1 Revista Matemática Complutense 1 Proceedings of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences 1 LMS Journal of Computation and Mathematics 1 Acta Mathematica Sinica. English Series 1 Annales Henri Poincaré 1 Journal of Nonlinear Mathematical Physics 1 Discrete and Continuous Dynamical Systems. Series B 1 Journal of Applied Mathematics 1 Communications on Pure and Applied Analysis 1 Bulletin of the Brazilian Mathematical Society. New Series 1 SIAM Journal on Applied Dynamical Systems 1 International Journal of Geometric Methods in Modern Physics 1 Advances in Difference Equations 1 Proceedings of the Steklov Institute of Mathematics 1 Nonlinear Oscillations 1 Mathematics in Computer Science 1 Complex Analysis and Operator Theory ...and 8 more Serials
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#### Cited in 42 Fields

 259 Partial differential equations (35-XX) 95 Fluid mechanics (76-XX) 78 Dynamical systems and ergodic theory (37-XX) 47 Numerical analysis (65-XX) 28 Algebraic geometry (14-XX) 15 Ordinary differential equations (34-XX) 13 Geophysics (86-XX) 12 Operator theory (47-XX) 12 Computer science (68-XX) 11 Quantum theory (81-XX) 10 Special functions (33-XX) 10 Statistical mechanics, structure of matter (82-XX) 9 Functions of a complex variable (30-XX) 9 Optics, electromagnetic theory (78-XX) 8 Mechanics of deformable solids (74-XX) 6 Mechanics of particles and systems (70-XX) 5 Number theory (11-XX) 5 Linear and multilinear algebra; matrix theory (15-XX) 5 Difference and functional equations (39-XX) 4 Commutative algebra (13-XX) 4 Calculus of variations and optimal control; optimization (49-XX) 3 Several complex variables and analytic spaces (32-XX) 3 Harmonic analysis on Euclidean spaces (42-XX) 3 Global analysis, analysis on manifolds (58-XX) 3 Relativity and gravitational theory (83-XX) 3 Systems theory; control (93-XX) 2 History and biography (01-XX) 2 Field theory and polynomials (12-XX) 2 Probability theory and stochastic processes (60-XX) 2 Statistics (62-XX) 2 Classical thermodynamics, heat transfer (80-XX) 2 Biology and other natural sciences (92-XX) 1 General and overarching topics; collections (00-XX) 1 Combinatorics (05-XX) 1 $$K$$-theory (19-XX) 1 Real functions (26-XX) 1 Measure and integration (28-XX) 1 Potential theory (31-XX) 1 Integral equations (45-XX) 1 Functional analysis (46-XX) 1 Geometry (51-XX) 1 Operations research, mathematical programming (90-XX)