## Deconinck, Bernard

Compute Distance To:
 Author ID: deconinck.bernard Published as: Deconinck, Bernard; Deconinck, B.
 Documents Indexed: 76 Publications since 1996 1 Contribution as Editor · 1 Further Contribution Co-Authors: 56 Co-Authors with 74 Joint Publications 1,041 Co-Co-Authors
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### Co-Authors

 4 single-authored 9 Trogdon, Thomas 8 Vasan, Vishal 7 Kutz, J. Nathan 7 Trichtchenko, Olga 6 Sheils, Natalie E. 5 Carter, John D. 5 Nivala, Michael 5 Oliveras, Katie L. 4 Nguyen, Nghiem V. 4 Patterson, Matthew S. 4 Segal, Benjamin Louis 4 Segur, Harvey 3 Upsal, Jeremy 2 Bobenko, Alexander Ivanovich 2 Bottman, Nathaniel 2 Creedon, Ryan P. 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 Schmies, Markus 2 Tian, Rushun 2 van Hoeij, Mark 2 Yang, Xin 1 Bradley, R. Mark 1 Chen, Min 1 Cisneros, Jorge 1 Colagrosso, Michael 1 Crowdy, Darren Gregory 1 Fokas, Athanassios S. 1 Frauendiener, Jörg 1 Guo, Qi 1 Heil, Matthias 1 Hickman, Mark S. 1 Hidalgo, Rubén Antonio 1 Kalisch, Henrik 1 Kimura, Yoshifumi 1 Kiyak, Firat 1 Klein, Christian 1 Kokotov, Aleksey 1 Kurkina, O. E. 1 Lee, Crystal W. 1 Lenells, Jonatan 1 Lovit, David O. 1 Marshall, J. D. 1 McGill, Peter 1 Mercat, Christian 1 Moldabayev, Daulet 1 Olver, Sheehan Shakiban 1 Poole, L. D. 1 Ringler, Adam 1 Rouvinskaya, E. A. 1 Sayers, Ryan 1 Seppälä, Mika 1 Shlizerman, Eli 1 Smith, David Andrew 1 Sun, Wen-Rong 1 Swierczewski, Christopher 1 Thelwell, Roger J. 1 Warner, Brandon W. 1 Wilkening, Jon A.
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### Serials

 10 Physica D 7 Studies in Applied Mathematics 6 Physics Letters. A 4 Mathematics and Computers in Simulation 4 Journal of Physics A: Mathematical and Theoretical 3 Journal of Fluid Mechanics 3 Applied Mathematics Letters 3 Journal of Physics A: Mathematical and General 3 SIAM Review 3 Discrete and Continuous Dynamical Systems 3 SIAM Journal on Applied Dynamical Systems 2 Applicable Analysis 2 Wave Motion 2 Mathematics of Computation 2 SIAM Journal on Mathematical Analysis 2 Journal of Nonlinear Science 2 European Journal of Mechanics. B. Fluids 1 Communications in Mathematical Physics 1 IMA Journal of Numerical Analysis 1 Journal of Computational Physics 1 Journal of Mathematical Physics 1 Letters in Mathematical Physics 1 Nonlinearity 1 Theoretical and Mathematical Physics 1 Quarterly of Applied Mathematics 1 SIAM Journal on Applied Mathematics 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 1 Lecture Notes in Mathematics
all top 5

### Fields

 53 Partial differential equations (35-XX) 27 Dynamical systems and ergodic theory (37-XX) 17 Fluid mechanics (76-XX) 15 Numerical analysis (65-XX) 6 Algebraic geometry (14-XX) 5 Ordinary differential equations (34-XX) 5 Quantum theory (81-XX) 3 General and overarching topics; collections (00-XX) 3 Functions of a complex variable (30-XX) 3 Statistical mechanics, structure of matter (82-XX) 2 Special functions (33-XX) 2 Harmonic analysis on Euclidean spaces (42-XX) 2 Computer science (68-XX) 2 Classical thermodynamics, heat transfer (80-XX) 1 History and biography (01-XX) 1 Number theory (11-XX) 1 Difference and functional equations (39-XX) 1 Operator theory (47-XX) 1 Mechanics of particles and systems (70-XX) 1 Geophysics (86-XX) 1 Systems theory; control (93-XX)

### Citations contained in zbMATH Open

67 Publications have been cited 729 times in 429 Documents Cited by Year
Computing spectra of linear operators using the Floquet-Fourier-Hill method. Zbl 1105.65119
Deconinck, Bernard; Kutz, J. Nathan
2006
The instability of periodic surface gravity waves. Zbl 1241.76212
Deconinck, Bernard; Oliveras, Katie
2011
Recovering the water-wave profile from pressure measurements. Zbl 1343.76005
Oliveras, K. L.; Vasan, V.; Deconinck, B.; Henderson, D.
2012
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
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
Computing Riemann theta functions. Zbl 1092.33018
Deconinck, Bernard; Heil, Matthias; Bobenko, Alexander; van Hoeij, Mark; Schmies, Marcus
2004
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
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
The inverse water wave problem of bathymetry detection. Zbl 1284.76077
Vasan, Vishal; Deconinck, Bernard
2013
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
On the convergence of Hill’s method. Zbl 1205.34116
Curtis, Christopher W.; Deconinck, Bernard
2010
Computational approach to Riemann surfaces. Zbl 1207.14002
2011
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
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
Transverse instabilities of deep-water solitary waves. Zbl 1149.76627
Deconinck, Bernard; Pelinovsky, Dmitry E.; Carter, John D.
2006
The linear KdV equation with an interface. Zbl 1351.35170
Deconinck, Bernard; Sheils, Natalie E.; Smith, David A.
2016
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
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 stability spectrum for elliptic solutions to the focusing NLS equation. Zbl 1415.35251
Deconinck, Bernard; Segal, Benjamin L.
2017
The solution of linear constant-coefficient evolution PDEs with periodic boundary conditions. Zbl 1242.35011
Trogdon, Thomas; Deconinck, Bernard
2012
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
Computing with plane algebraic curves and Riemann surfaces: the algorithms of the Maple package “algcurves”. Zbl 1213.14114
Deconinck, Bernard; Patterson, Matthew S.
2011
Pole dynamics for elliptic solutions of the Korteweg-de Vries equation. Zbl 0970.35130
Deconinck, Bernard; Segur, Harvey
2000
Stability of periodic traveling wave solutions to the Kawahara equation. Zbl 1404.76054
Trichtchenko, Olga; Deconinck, Bernard; Kollár, Richard
2018
The instability of Wilton ripples. Zbl 1467.76018
Trichtchenko, Olga; Deconinck, Bernard; Wilkening, Jon
2016
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
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
Dynamics of periodic multi-component Bose-Einstein condensates. Zbl 1038.82056
Deconinck, Bernard; Kutz, J. Nathan; Patterson, Matthew S.; Warner, Brandon W.
2003
Interface problems for dispersive equations. Zbl 1314.35125
Sheils, Natalie E.; Deconinck, Bernard
2015
Initial-to-interface maps for the heat equation on composite domains. Zbl 1346.35195
Sheils, Natalie E.; Deconinck, Bernard
2016
The stability spectrum for elliptic solutions to the sine-Gordon equation. Zbl 1378.35028
Deconinck, Bernard; McGill, Peter; Segal, Benjamin L.
2017
Well-posedness of boundary-value problems for the linear Benjamin-Bona-Mahony equation. Zbl 1277.35115
Vasan, Vishal; Deconinck, Bernard
2013
Computing the Abel map. Zbl 1200.37069
Deconinck, Bernard; Patterson, Matthew S.
2008
The interaction of long and short waves in dispersive media. Zbl 1349.76030
Deconinck, Bernard; Nguyen, Nghiem V.; Segal, Benjamin L.
2016
Continuous and discrete homotopy operators: a theoretical approach made concrete. Zbl 1120.65073
Hereman, W.; Deconinck, B.; Poole, L. D.
2007
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
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
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
Heat conduction on the ring: interface problems with periodic boundary conditions. Zbl 1314.80002
Sheils, Natalie E.; Deconinck, Bernard
2014
Symbolic integration using homotopy methods. Zbl 1182.65044
Deconinck, Bernard; Nivala, Michael
2009
Fokas’s unified transform method for linear systems. Zbl 1407.35004
Deconinck, Bernard; Guo, Qi; Shlizerman, Eli; Vasan, Vishal
2018
Real Lax spectrum implies spectral stability. Zbl 1457.37094
Upsal, Jeremy; Deconinck, Bernard
2020
Instabilities of one-dimensional trivial-phase solutions of the two-dimensional cubic nonlinear Schrödinger equation. Zbl 1091.35086
Carter, John D.; Deconinck, Bernard
2006
The Bernoulli boundary condition for traveling water waves. Zbl 1320.76022
Vasan, Vishal; Deconinck, Bernard
2013
A constructive test for integrability of semi-discrete systems. Zbl 1037.37505
Deconinck, Bernard
1996
Explicit solutions for a long-wave model with constant vorticity. Zbl 1408.76087
Segal, Benjamin L.; Moldabayev, Daulet; Kalisch, Henrik; Deconinck, Bernard
2017
A method to recover water-wave profiles from pressure measurements. Zbl 07213212
Vasan, Vishal; Oliveras, Katie; Henderson, Diane; Deconinck, Bernard
2017
Computing Riemann theta functions in Sage with applications. Zbl 07313685
Swierczewski, Christopher; Deconinck, Bernard
2016
Canonical variables for multiphase solutions of the KP equation. Zbl 1002.37033
Deconinck, Bernard
2000
Singular instability of exact stationary solutions of the non-local Gross-Pitaevskii equation. Zbl 1045.35077
Deconinck, Bernard; Kutz, J. Nathan
2003
The orbital stability of elliptic solutions of the focusing nonlinear Schrödinger equation. Zbl 1437.37096
Deconinck, Bernard; Upsal, Jeremy
2020
The pole dynamics of rational solutions of the viscous Burgers equation. Zbl 1119.35074
Deconinck, Bernard; Kimura, Yoshifumi; Segur, Harvey
2007
High-frequency instabilities of the Kawahara equation: a perturbative approach. Zbl 1478.35072
Creedon, Ryan; Deconinck, Bernard; Trichtchenko, Olga
2021
On the nonintegrability of equations for long- and short-wave interactions. Zbl 1396.35052
Deconinck, Bernard; Upsal, Jeremy
2018
Data analysis and reduction using stationary solutions of the NLS equation. Zbl 1191.81110
Deconinck, Bernard; Lovit, David O.
2010
The instabilities of periodic traveling water waves with respect to transverse perturbations. Zbl 1326.35283
Oliveras, Katie; Deconinck, Bernard
2015
Dispersive and soliton perturbations of finite-genus solutions of the KdV equation: computational results. Zbl 1331.35312
Trogdon, Thomas; Deconinck, Bernard
2014
High-frequency instabilities of the Kawahara equation: a perturbative approach. Zbl 1478.35072
Creedon, Ryan; Deconinck, Bernard; Trichtchenko, Olga
2021
Real Lax spectrum implies spectral stability. Zbl 1457.37094
Upsal, Jeremy; Deconinck, Bernard
2020
The orbital stability of elliptic solutions of the focusing nonlinear Schrödinger equation. Zbl 1437.37096
Deconinck, Bernard; Upsal, Jeremy
2020
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
On the nonintegrability of equations for long- and short-wave interactions. Zbl 1396.35052
Deconinck, Bernard; Upsal, Jeremy
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 focusing NLS equation. Zbl 1415.35251
Deconinck, Bernard; Segal, Benjamin L.
2017
The stability spectrum for elliptic solutions to the sine-Gordon equation. Zbl 1378.35028
Deconinck, Bernard; McGill, Peter; 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
A method to recover water-wave profiles from pressure measurements. Zbl 07213212
Vasan, Vishal; Oliveras, Katie; Henderson, Diane; Deconinck, Bernard
2017
The linear KdV equation with an interface. Zbl 1351.35170
Deconinck, Bernard; Sheils, Natalie E.; Smith, David A.
2016
The instability of Wilton ripples. Zbl 1467.76018
Trichtchenko, Olga; Deconinck, Bernard; Wilkening, Jon
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
Computing Riemann theta functions in Sage with applications. Zbl 07313685
Swierczewski, Christopher; Deconinck, Bernard
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
Dispersive and soliton perturbations of finite-genus solutions of the KdV equation: computational results. Zbl 1331.35312
Trogdon, Thomas; 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
Computational approach to Riemann surfaces. Zbl 1207.14002
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 515 Authors

 36 Deconinck, Bernard 19 Johnson, Mathew A. 13 Pelinovsky, Dmitry Efimovich 10 Fokas, Athanassios S. 10 Trogdon, Thomas 9 Kapitula, Todd M. 8 Hur, Vera Mikyoung 8 Trichtchenko, Olga 8 Zumbrun, Kevin R. 7 Barker, Blake 7 Carter, John D. 7 Kalimeris, Konstantinos 7 Klein, Christian 7 Rodrigues, Luis Miguel 7 Saanouni, Tarek 6 Akers, Benjamin F. 6 Frauendiener, Jörg 6 Haragus, Mariana 6 Kalisch, Henrik 6 Nicholls, David P. 6 Sheils, Natalie E. 6 Stanislavova, Milena 6 Stefanov, Atanas G. 6 Vasan, Vishal 5 Bilman, Deniz 5 Biondini, Gino 5 Bronski, Jared C. 5 Constantin, Adrian 5 Himonas, A. Alexandrou 5 Mantzavinos, Dionyssios 5 Noble, Pascal 5 Oliveras, Katie L. 5 Pastor, Ademir 4 Bogatyrev, Andrei Borisovich 4 Cavalcante, Márcio André Araújo 4 Clamond, Didier 4 Colbrook, Matthew J. 4 Natali, Fábio M. Amorin 4 Părău, Emilian I. 4 Sherratt, Jonathan A. 4 Smith, David Andrew 4 Wang, Dengshan 4 Zhang, Yingnan 4 Zharinov, Victor Victorovich 3 Abid, Malek 3 Basu, Biswajit 3 Blyth, Mark G. 3 Camassa, Roberto 3 Chen, Jinbing 3 Chen, Robin Ming 3 Chien, Mao-Ting 3 Corcho, Adán J. 3 Crowdy, Darren Gregory 3 Ehrnström, Mats 3 Geng, Xianguo 3 Grigor’ev, O. A. 3 Hakkaev, Sevdzhan A. 3 Henry, David 3 Kevrekidis, Panayotis G. 3 Kharif, Christian 3 Lyons, Tony 3 Malomed, Boris A. 3 Marangell, Robert 3 Nachbin, André 3 Nakazato, Hiroshi 3 Naz, Rehana 3 Nguyen, Nghiem V. 3 Nivala, Michael 3 Olver, Sheehan Shakiban 3 Plaza, Ramón G. 3 Shimabukuro, Yusuke 3 Sturmfels, Bernd 3 Sun, Jianqing 3 Upsal, Jeremy 3 Vanden-Broeck, Jean-Marc 3 Walsh, Samuel 3 Wen, Xiaoyong 3 Wilkening, Jon A. 3 Yan, Fangchi 2 Ablowitz, Mark Jay 2 Abou-Dina, Moustafa S. 2 Agostini, Daniele 2 Amann, Dominic 2 Anco, Stephen C. 2 Andrade, David 2 Ashton, Anthony C. L. 2 Bhattarai, Santosh 2 Bobenko, Alexander Ivanovich 2 Claassen, Kyle M. 2 Cole, Justin T. 2 Creedon, Ryan P. 2 Curtis, Christopher W. 2 Dasgupta, Anirvan 2 Dutykh, Denys 2 Farah, Luiz Gustavo 2 Gerdzhikov, Vladimir Stefanov 2 Gesztesy, Fritz 2 Ghaleb, Ahmed Fouad 2 Gou, Tianxiang 2 Grinevich, Pëtr Georgievich ...and 415 more Authors
all top 5

### Cited in 128 Serials

 41 Physica D 22 Journal of Fluid Mechanics 17 Journal of Mathematical Physics 15 Studies in Applied Mathematics 11 Journal of Differential Equations 11 European Journal of Mechanics. B. Fluids 10 Journal of Mathematical Analysis and Applications 9 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 9 Journal of Nonlinear Science 8 Nonlinearity 8 SIAM Journal on Mathematical Analysis 8 Discrete and Continuous Dynamical Systems 7 Communications in Mathematical Physics 7 Physics Letters. A 7 Mathematics of Computation 7 Applied Mathematics Letters 7 SIAM Journal on Applied Mathematics 7 Communications in Nonlinear Science and Numerical Simulation 6 Wave Motion 6 Mathematics and Computers in Simulation 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 Archive for Rational Mechanics and Analysis 5 Journal of Computational Physics 5 Theoretical and Mathematical Physics 5 Quarterly of Applied Mathematics 5 Nonlinear Dynamics 5 Analysis and Mathematical Physics 4 Applicable Analysis 4 Journal of Symbolic Computation 4 Journal of Dynamics and Differential Equations 4 Water Waves 3 Computers & Mathematics with Applications 3 Letters in Mathematical Physics 3 ZAMP. Zeitschrift für angewandte Mathematik und Physik 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 Linear Algebra and its Applications 3 Journal of Mathematical Fluid Mechanics 3 SIAM Journal on Applied Dynamical Systems 3 Proceedings of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences 2 Journal of Engineering Mathematics 2 Mathematical Methods in the Applied Sciences 2 Acta Applicandae Mathematicae 2 European Journal of Applied Mathematics 2 Applied Mathematical Modelling 2 Experimental Mathematics 2 Advances in Computational Mathematics 2 Abstract and Applied Analysis 2 Chaos 2 Communications in Contemporary Mathematics 2 Journal of Evolution Equations 2 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications 2 Proceedings of the Steklov Institute of Mathematics 2 Discrete and Continuous Dynamical Systems. Series S 2 Arabian Journal of Mathematics 2 East Asian Journal on Applied Mathematics 2 SIAM Journal on Applied Algebra and Geometry 1 International Journal of Modern Physics B 1 Acta Mechanica 1 Communications on Pure and Applied Mathematics 1 International Journal of Theoretical Physics 1 Inverse Problems 1 Journal of Mathematical Biology 1 Linear and Multilinear Algebra 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 Calcolo 1 Czechoslovak Mathematical Journal 1 Duke Mathematical Journal 1 Journal of Approximation Theory 1 Journal of Functional Analysis 1 Mathematische Annalen 1 Memoirs of the American Mathematical Society 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 Numerical Algorithms 1 Communications in Partial Differential Equations 1 SIAM Review 1 Archive of Applied Mechanics 1 SIAM Journal on Scientific Computing 1 NoDEA. Nonlinear Differential Equations and Applications 1 Opuscula Mathematica 1 Integral Transforms and Special Functions 1 Mathematical Problems in Engineering 1 Vietnam Journal of Mathematics 1 Mathematical Physics, Analysis and Geometry ...and 28 more Serials
all top 5

### Cited in 43 Fields

 312 Partial differential equations (35-XX) 117 Fluid mechanics (76-XX) 96 Dynamical systems and ergodic theory (37-XX) 55 Numerical analysis (65-XX) 31 Algebraic geometry (14-XX) 18 Operator theory (47-XX) 16 Ordinary differential equations (34-XX) 15 Geophysics (86-XX) 14 Quantum theory (81-XX) 13 Special functions (33-XX) 13 Computer science (68-XX) 13 Statistical mechanics, structure of matter (82-XX) 12 Functions of a complex variable (30-XX) 12 Optics, electromagnetic theory (78-XX) 9 Mechanics of deformable solids (74-XX) 6 Linear and multilinear algebra; matrix theory (15-XX) 6 Difference and functional equations (39-XX) 5 Number theory (11-XX) 5 Mechanics of particles and systems (70-XX) 4 Commutative algebra (13-XX) 4 Harmonic analysis on Euclidean spaces (42-XX) 4 Calculus of variations and optimal control; optimization (49-XX) 3 History and biography (01-XX) 3 Several complex variables and analytic spaces (32-XX) 3 Global analysis, analysis on manifolds (58-XX) 3 Classical thermodynamics, heat transfer (80-XX) 3 Relativity and gravitational theory (83-XX) 3 Biology and other natural sciences (92-XX) 3 Systems theory; control (93-XX) 2 Field theory and polynomials (12-XX) 2 Real functions (26-XX) 2 Potential theory (31-XX) 2 Integral transforms, operational calculus (44-XX) 2 Functional analysis (46-XX) 2 Probability theory and stochastic processes (60-XX) 2 Statistics (62-XX) 1 General and overarching topics; collections (00-XX) 1 Combinatorics (05-XX) 1 $$K$$-theory (19-XX) 1 Measure and integration (28-XX) 1 Integral equations (45-XX) 1 Geometry (51-XX) 1 Operations research, mathematical programming (90-XX)