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Author ID: deconinck.bernard Recent zbMATH articles by "Deconinck, Bernard"
Published as: Deconinck, Bernard; Deconinck, B.

Publications by Year

Citations contained in zbMATH Open

76 Publications have been cited 1,016 times in 581 Documents Cited by Year
Computing spectra of linear operators using the Floquet-Fourier-Hill method. Zbl 1105.65119
Deconinck, Bernard; Kutz, J. Nathan
66
2006
The instability of periodic surface gravity waves. Zbl 1241.76212
Deconinck, Bernard; Oliveras, Katie
55
2011
The method of fokas for solving linear partial differential equations. Zbl 1295.35002
Deconinck, Bernard; Trogdon, Thomas; Vasan, Vishal
44
2014
Recovering the water-wave profile from pressure measurements. Zbl 1343.76005
Oliveras, K. L.; Vasan, V.; Deconinck, B.; Henderson, D.
44
2012
KdV cnoidal waves are spectrally stable. Zbl 1178.35327
Bottman, Nate; Deconinck, Bernard
42
2009
On the spectral and orbital stability of spatially periodic stationary solutions of generalized Korteweg-de Vries equations. Zbl 1331.35305
Kapitula, Todd; Deconinck, Bernard
38
2015
Computing Riemann matrices of algebraic curves. Zbl 1054.14079
Deconinck, Bernard; van Hoeij, Mark
36
2001
Computing Riemann theta functions. Zbl 1092.33018
Deconinck, Bernard; Heil, Matthias; Bobenko, Alexander; van Hoeij, Mark; Schmies, Marcus
34
2004
The orbital stability of the cnoidal waves of the Korteweg-de Vries equation. Zbl 1238.35128
Deconinck, Bernard; Kapitula, Todd
32
2010
Elliptic solutions of the defocusing NLS equation are stable. Zbl 1222.81157
Bottman, Nathaniel; Deconinck, Bernard; Nivala, Michael
28
2011
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
26
2013
The stability analysis of the periodic traveling wave solutions of the mKdV equation. Zbl 1231.35197
Deconinck, B.; Nivala, M.
26
2011
The stability spectrum for elliptic solutions to the focusing NLS equation. Zbl 1415.35251
Deconinck, Bernard; Segal, Benjamin L.
24
2017
Computational approach to Riemann surfaces. Zbl 1207.14002
23
2011
Numerical inverse scattering for the Korteweg-de Vries and modified Korteweg-de Vries equations. Zbl 1248.65108
Trogdon, Thomas; Olver, Sheehan; Deconinck, Bernard
23
2012
High-frequency instabilities of small-amplitude solutions of Hamiltonian PDEs. Zbl 1365.37057
Deconinck, Bernard; Trichtchenko, Olga
21
2017
The inverse water wave problem of bathymetry detection. Zbl 1284.76077
Vasan, Vishal; Deconinck, Bernard
17
2013
On the convergence of Hill’s method. Zbl 1205.34116
Curtis, Christopher W.; Deconinck, Bernard
16
2010
The orbital stability of elliptic solutions of the focusing nonlinear Schrödinger equation. Zbl 1437.37096
Deconinck, Bernard; Upsal, Jeremy
15
2020
Stability of periodic traveling wave solutions to the Kawahara equation. Zbl 1404.76054
Trichtchenko, Olga; Deconinck, Bernard; Kollár, Richard
15
2018
The linear KdV equation with an interface. Zbl 1351.35170
Deconinck, Bernard; Sheils, Natalie E.; Smith, David A.
15
2016
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
15
2007
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
15
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.
14
2002
Transverse instabilities of deep-water solitary waves. Zbl 1149.76627
Deconinck, Bernard; Pelinovsky, Dmitry E.; Carter, John D.
14
2006
Numerical computation of the finite-genus solutions of the Korteweg-de Vries equation via Riemann-Hilbert problems. Zbl 1255.65177
Trogdon, Thomas; Deconinck, Bernard
14
2013
The stability spectrum for elliptic solutions to the sine-Gordon equation. Zbl 1378.35028
Deconinck, Bernard; McGill, Peter; Segal, Benjamin L.
13
2017
Stability of periodic gravity waves in the presence of surface tension. Zbl 1297.76028
Deconinck, Bernard; Trichtchenko, Olga
13
2014
The instability of Wilton ripples. Zbl 1467.76018
Trichtchenko, Olga; Deconinck, Bernard; Wilkening, Jon
12
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
12
2010
A Riemann-Hilbert problem for the finite-genus solutions of the KdV equation and its numerical solution. Zbl 1278.37050
Trogdon, Thomas; Deconinck, Bernard
11
2013
A numerical dressing method for the nonlinear superposition of solutions of the KdV equation. Zbl 1302.65234
Trogdon, Thomas; Deconinck, Bernard
11
2014
Heat conduction on the ring: interface problems with periodic boundary conditions. Zbl 1314.80002
Sheils, Natalie E.; Deconinck, Bernard
11
2014
Relating the bottom pressure and the surface elevation in the water wave problem. Zbl 1362.35220
Deconinck, B.; Oliveras, K. L.; Vasan, V.
10
2012
Interface problems for dispersive equations. Zbl 1314.35125
Sheils, Natalie E.; Deconinck, Bernard
10
2015
Dynamics of periodic multi-component Bose-Einstein condensates. Zbl 1038.82056
Deconinck, Bernard; Kutz, J. Nathan; Patterson, Matthew S.; Warner, Brandon W.
10
2003
Periodic finite-genus solutions of the KdV equation are orbitally stable. Zbl 1189.37080
Nivala, Michael; Deconinck, Bernard
10
2010
Real Lax spectrum implies spectral stability. Zbl 1457.37094
Upsal, Jeremy; Deconinck, Bernard
10
2020
High-frequency instabilities of Stokes waves. Zbl 07482844
Creedon, Ryan P.; Deconinck, Bernard; Trichtchenko, Olga
10
2022
Initial-to-interface maps for the heat equation on composite domains. Zbl 1346.35195
Sheils, Natalie E.; Deconinck, Bernard
9
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.
9
2014
Computing with plane algebraic curves and Riemann surfaces: the algorithms of the Maple package “algcurves”. Zbl 1213.14114
Deconinck, Bernard; Patterson, Matthew S.
9
2011
Pole dynamics for elliptic solutions of the Korteweg-de Vries equation. Zbl 0970.35130
Deconinck, Bernard; Segur, Harvey
9
2000
The solution of linear constant-coefficient evolution PDEs with periodic boundary conditions. Zbl 1242.35011
Trogdon, Thomas; Deconinck, Bernard
9
2012
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
8
2019
Computing Riemann theta functions in Sage with applications. Zbl 1520.33013
Swierczewski, Christopher; Deconinck, Bernard
8
2016
High-frequency instabilities of the Kawahara equation: a perturbative approach. Zbl 1478.35072
Creedon, Ryan; Deconinck, Bernard; Trichtchenko, Olga
8
2021
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
7
2005
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.
7
2001
Well-posedness of boundary-value problems for the linear Benjamin-Bona-Mahony equation. Zbl 1277.35115
Vasan, Vishal; Deconinck, Bernard
7
2013
Symbolic integration using homotopy methods. Zbl 1182.65044
Deconinck, Bernard; Nivala, Michael
7
2009
Continuous and discrete homotopy operators: a theoretical approach made concrete. Zbl 1120.65073
Hereman, W.; Deconinck, B.; Poole, L. D.
7
2007
Computing the Abel map. Zbl 1200.37069
Deconinck, Bernard; Patterson, Matthew S.
7
2008
A constructive test for integrability of semi-discrete systems. Zbl 1037.37505
Deconinck, Bernard
6
1996
The interaction of long and short waves in dispersive media. Zbl 1349.76030
Deconinck, Bernard; Nguyen, Nghiem V.; Segal, Benjamin L.
6
2016
Fokas’s unified transform method for linear systems. Zbl 1407.35004
Deconinck, Bernard; Guo, Qi; Shlizerman, Eli; Vasan, Vishal
6
2018
The Bernoulli boundary condition for traveling water waves. Zbl 1320.76022
Vasan, Vishal; Deconinck, Bernard
6
2013
The KP equation with quasiperiodic initial data. Zbl 0938.35165
Deconinck, Bernard; Segur, Harvey
5
1998
Explicit solutions for a long-wave model with constant vorticity. Zbl 1408.76087
Segal, Benjamin L.; Moldabayev, Daulet; Kalisch, Henrik; Deconinck, Bernard
4
2017
Instabilities of one-dimensional trivial-phase solutions of the two-dimensional cubic nonlinear Schrödinger equation. Zbl 1091.35086
Carter, John D.; Deconinck, Bernard
4
2006
Stability of elliptic solutions to the sinh-Gordon equation. Zbl 1472.35040
Sun, Wen-Rong; Deconinck, Bernard
4
2021
The time-dependent Schrödinger equation with piecewise constant potentials. Zbl 1506.35187
Sheils, Natalie E.; Deconinck, Bernard
4
2020
A method to recover water-wave profiles from pressure measurements. Zbl 1524.76103
Vasan, Vishal; Oliveras, Katie; Henderson, Diane; Deconinck, Bernard
3
2017
Dispersive and soliton perturbations of finite-genus solutions of the KdV equation: computational results. Zbl 1331.35312
Trogdon, Thomas; Deconinck, Bernard
3
2014
The pole dynamics of rational solutions of the viscous Burgers equation. Zbl 1119.35074
Deconinck, Bernard; Kimura, Yoshifumi; Segur, Harvey
3
2007
The implementation of the unified transform to the nonlinear Schrödinger equation with periodic initial conditions. Zbl 1466.35325
Deconinck, B.; Fokas, A. S.; Lenells, J.
3
2021
A high-order asymptotic analysis of the Benjamin-Feir instability spectrum in arbitrary depth. Zbl 1516.76032
Creedon, Ryan P.; Deconinck, Bernard
3
2023
Canonical variables for multiphase solutions of the KP equation. Zbl 1002.37033
Deconinck, Bernard
2
2000
Singular instability of exact stationary solutions of the non-local Gross-Pitaevskii equation. Zbl 1045.35077
Deconinck, Bernard; Kutz, J. Nathan
2
2003
Instabilities of one-dimensional stationary solutions of the cubic nonlinear Schrödinger equation. Zbl 1085.81041
Thelwell, Roger J.; Carter, John D.; Deconinck, Bernard
2
2006
The numerical solutions of linear semidiscrete evolution problems on the half-line using the unified transform method. Zbl 07476236
Cisneros, Jorge; Deconinck, Bernard
2
2021
On the nonintegrability of equations for long- and short-wave interactions. Zbl 1396.35052
Deconinck, Bernard; Upsal, Jeremy
1
2018
The instabilities of periodic traveling water waves with respect to transverse perturbations. Zbl 1326.35283
Oliveras, Katie; Deconinck, Bernard
1
2015
Data analysis and reduction using stationary solutions of the NLS equation. Zbl 1191.81110
Deconinck, Bernard; Lovit, David O.
1
2010
Numerical inverse scattering for the sine-Gordon equation. Zbl 1453.65290
Deconinck, Bernard; Trogdon, Thomas; Yang, Xin
1
2019
The numerical unified transform method for initial-boundary value problems on the half-line. Zbl 07524719
Deconinck, Bernard; Trogdon, Thomas; Yang, Xin
1
2022
A high-order asymptotic analysis of the Benjamin-Feir instability spectrum in arbitrary depth. Zbl 1516.76032
Creedon, Ryan P.; Deconinck, Bernard
3
2023
High-frequency instabilities of Stokes waves. Zbl 07482844
Creedon, Ryan P.; Deconinck, Bernard; Trichtchenko, Olga
10
2022
The numerical unified transform method for initial-boundary value problems on the half-line. Zbl 07524719
Deconinck, Bernard; Trogdon, Thomas; Yang, Xin
1
2022
High-frequency instabilities of the Kawahara equation: a perturbative approach. Zbl 1478.35072
Creedon, Ryan; Deconinck, Bernard; Trichtchenko, Olga
8
2021
Stability of elliptic solutions to the sinh-Gordon equation. Zbl 1472.35040
Sun, Wen-Rong; Deconinck, Bernard
4
2021
The implementation of the unified transform to the nonlinear Schrödinger equation with periodic initial conditions. Zbl 1466.35325
Deconinck, B.; Fokas, A. S.; Lenells, J.
3
2021
The numerical solutions of linear semidiscrete evolution problems on the half-line using the unified transform method. Zbl 07476236
Cisneros, Jorge; Deconinck, Bernard
2
2021
The orbital stability of elliptic solutions of the focusing nonlinear Schrödinger equation. Zbl 1437.37096
Deconinck, Bernard; Upsal, Jeremy
15
2020
Real Lax spectrum implies spectral stability. Zbl 1457.37094
Upsal, Jeremy; Deconinck, Bernard
10
2020
The time-dependent Schrödinger equation with piecewise constant potentials. Zbl 1506.35187
Sheils, Natalie E.; Deconinck, Bernard
4
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
8
2019
Numerical inverse scattering for the sine-Gordon equation. Zbl 1453.65290
Deconinck, Bernard; Trogdon, Thomas; Yang, Xin
1
2019
Stability of periodic traveling wave solutions to the Kawahara equation. Zbl 1404.76054
Trichtchenko, Olga; Deconinck, Bernard; Kollár, Richard
15
2018
Fokas’s unified transform method for linear systems. Zbl 1407.35004
Deconinck, Bernard; Guo, Qi; Shlizerman, Eli; Vasan, Vishal
6
2018
On the nonintegrability of equations for long- and short-wave interactions. Zbl 1396.35052
Deconinck, Bernard; Upsal, Jeremy
1
2018
The stability spectrum for elliptic solutions to the focusing NLS equation. Zbl 1415.35251
Deconinck, Bernard; Segal, Benjamin L.
24
2017
High-frequency instabilities of small-amplitude solutions of Hamiltonian PDEs. Zbl 1365.37057
Deconinck, Bernard; Trichtchenko, Olga
21
2017
The stability spectrum for elliptic solutions to the sine-Gordon equation. Zbl 1378.35028
Deconinck, Bernard; McGill, Peter; Segal, Benjamin L.
13
2017
Explicit solutions for a long-wave model with constant vorticity. Zbl 1408.76087
Segal, Benjamin L.; Moldabayev, Daulet; Kalisch, Henrik; Deconinck, Bernard
4
2017
A method to recover water-wave profiles from pressure measurements. Zbl 1524.76103
Vasan, Vishal; Oliveras, Katie; Henderson, Diane; Deconinck, Bernard
3
2017
The linear KdV equation with an interface. Zbl 1351.35170
Deconinck, Bernard; Sheils, Natalie E.; Smith, David A.
15
2016
The instability of Wilton ripples. Zbl 1467.76018
Trichtchenko, Olga; Deconinck, Bernard; Wilkening, Jon
12
2016
Initial-to-interface maps for the heat equation on composite domains. Zbl 1346.35195
Sheils, Natalie E.; Deconinck, Bernard
9
2016
Computing Riemann theta functions in Sage with applications. Zbl 1520.33013
Swierczewski, Christopher; Deconinck, Bernard
8
2016
The interaction of long and short waves in dispersive media. Zbl 1349.76030
Deconinck, Bernard; Nguyen, Nghiem V.; Segal, Benjamin L.
6
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
38
2015
Interface problems for dispersive equations. Zbl 1314.35125
Sheils, Natalie E.; Deconinck, Bernard
10
2015
The instabilities of periodic traveling water waves with respect to transverse perturbations. Zbl 1326.35283
Oliveras, Katie; Deconinck, Bernard
1
2015
The method of fokas for solving linear partial differential equations. Zbl 1295.35002
Deconinck, Bernard; Trogdon, Thomas; Vasan, Vishal
44
2014
Stability of periodic gravity waves in the presence of surface tension. Zbl 1297.76028
Deconinck, Bernard; Trichtchenko, Olga
13
2014
A numerical dressing method for the nonlinear superposition of solutions of the KdV equation. Zbl 1302.65234
Trogdon, Thomas; Deconinck, Bernard
11
2014
Heat conduction on the ring: interface problems with periodic boundary conditions. Zbl 1314.80002
Sheils, Natalie E.; Deconinck, Bernard
11
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.
9
2014
Dispersive and soliton perturbations of finite-genus solutions of the KdV equation: computational results. Zbl 1331.35312
Trogdon, Thomas; Deconinck, Bernard
3
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
26
2013
The inverse water wave problem of bathymetry detection. Zbl 1284.76077
Vasan, Vishal; Deconinck, Bernard
17
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
14
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
11
2013
Well-posedness of boundary-value problems for the linear Benjamin-Bona-Mahony equation. Zbl 1277.35115
Vasan, Vishal; Deconinck, Bernard
7
2013
The Bernoulli boundary condition for traveling water waves. Zbl 1320.76022
Vasan, Vishal; Deconinck, Bernard
6
2013
Recovering the water-wave profile from pressure measurements. Zbl 1343.76005
Oliveras, K. L.; Vasan, V.; Deconinck, B.; Henderson, D.
44
2012
Numerical inverse scattering for the Korteweg-de Vries and modified Korteweg-de Vries equations. Zbl 1248.65108
Trogdon, Thomas; Olver, Sheehan; Deconinck, Bernard
23
2012
Relating the bottom pressure and the surface elevation in the water wave problem. Zbl 1362.35220
Deconinck, B.; Oliveras, K. L.; Vasan, V.
10
2012
The solution of linear constant-coefficient evolution PDEs with periodic boundary conditions. Zbl 1242.35011
Trogdon, Thomas; Deconinck, Bernard
9
2012
The instability of periodic surface gravity waves. Zbl 1241.76212
Deconinck, Bernard; Oliveras, Katie
55
2011
Elliptic solutions of the defocusing NLS equation are stable. Zbl 1222.81157
Bottman, Nathaniel; Deconinck, Bernard; Nivala, Michael
28
2011
The stability analysis of the periodic traveling wave solutions of the mKdV equation. Zbl 1231.35197
Deconinck, B.; Nivala, M.
26
2011
Computational approach to Riemann surfaces. Zbl 1207.14002
23
2011
Computing with plane algebraic curves and Riemann surfaces: the algorithms of the Maple package “algcurves”. Zbl 1213.14114
Deconinck, Bernard; Patterson, Matthew S.
9
2011
The orbital stability of the cnoidal waves of the Korteweg-de Vries equation. Zbl 1238.35128
Deconinck, Bernard; Kapitula, Todd
32
2010
On the convergence of Hill’s method. Zbl 1205.34116
Curtis, Christopher W.; Deconinck, Bernard
16
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
12
2010
Periodic finite-genus solutions of the KdV equation are orbitally stable. Zbl 1189.37080
Nivala, Michael; Deconinck, Bernard
10
2010
Data analysis and reduction using stationary solutions of the NLS equation. Zbl 1191.81110
Deconinck, Bernard; Lovit, David O.
1
2010
KdV cnoidal waves are spectrally stable. Zbl 1178.35327
Bottman, Nate; Deconinck, Bernard
42
2009
Symbolic integration using homotopy methods. Zbl 1182.65044
Deconinck, Bernard; Nivala, Michael
7
2009
Computing the Abel map. Zbl 1200.37069
Deconinck, Bernard; Patterson, Matthew S.
7
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
15
2007
Continuous and discrete homotopy operators: a theoretical approach made concrete. Zbl 1120.65073
Hereman, W.; Deconinck, B.; Poole, L. D.
7
2007
The pole dynamics of rational solutions of the viscous Burgers equation. Zbl 1119.35074
Deconinck, Bernard; Kimura, Yoshifumi; Segur, Harvey
3
2007
Computing spectra of linear operators using the Floquet-Fourier-Hill method. Zbl 1105.65119
Deconinck, Bernard; Kutz, J. Nathan
66
2006
Transverse instabilities of deep-water solitary waves. Zbl 1149.76627
Deconinck, Bernard; Pelinovsky, Dmitry E.; Carter, John D.
14
2006
Instabilities of one-dimensional trivial-phase solutions of the two-dimensional cubic nonlinear Schrödinger equation. Zbl 1091.35086
Carter, John D.; Deconinck, Bernard
4
2006
Instabilities of one-dimensional stationary solutions of the cubic nonlinear Schrödinger equation. Zbl 1085.81041
Thelwell, Roger J.; Carter, John D.; Deconinck, Bernard
2
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
15
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
7
2005
Computing Riemann theta functions. Zbl 1092.33018
Deconinck, Bernard; Heil, Matthias; Bobenko, Alexander; van Hoeij, Mark; Schmies, Marcus
34
2004
Dynamics of periodic multi-component Bose-Einstein condensates. Zbl 1038.82056
Deconinck, Bernard; Kutz, J. Nathan; Patterson, Matthew S.; Warner, Brandon W.
10
2003
Singular instability of exact stationary solutions of the non-local Gross-Pitaevskii equation. Zbl 1045.35077
Deconinck, Bernard; Kutz, J. Nathan
2
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.
14
2002
Computing Riemann matrices of algebraic curves. Zbl 1054.14079
Deconinck, Bernard; van Hoeij, Mark
36
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.
7
2001
Pole dynamics for elliptic solutions of the Korteweg-de Vries equation. Zbl 0970.35130
Deconinck, Bernard; Segur, Harvey
9
2000
Canonical variables for multiphase solutions of the KP equation. Zbl 1002.37033
Deconinck, Bernard
2
2000
The KP equation with quasiperiodic initial data. Zbl 0938.35165
Deconinck, Bernard; Segur, Harvey
5
1998
A constructive test for integrability of semi-discrete systems. Zbl 1037.37505
Deconinck, Bernard
6
1996
all top 5

Cited by 714 Authors

42 Deconinck, Bernard
19 Johnson, Mathew A.
16 Pelinovsky, Dmitry Efimovich
12 Trogdon, Thomas
11 Fokas, Athanassios S.
10 Hur, Vera Mikyoung
9 Kapitula, Todd M.
9 Klein, Christian
9 Rodrigues, Luis Miguel
9 Stefanov, Atanas G.
9 Trichtchenko, Olga
8 Akers, Benjamin F.
8 Biondini, Gino
8 Haragus, Mariana
8 Kalimeris, Konstantinos
8 Mantzavinos, Dionyssios
8 Saanouni, Tarek
8 Stanislavova, Milena
8 Zumbrun, Kevin R.
7 Barker, Blake
7 Carter, John D.
7 Frauendiener, Jörg
7 Himonas, A. Alexandrou
7 Natali, Fábio M. Amorin
7 Sheils, Natalie E.
6 Bilman, Deniz
6 Bronski, Jared C.
6 Clamond, Didier
6 Hakkaev, Sevdzhan A.
6 Kalisch, Henrik
6 Nicholls, David P.
6 Noble, Pascal
6 Smith, David Andrew
6 Sun, Jianqing
6 Vasan, Vishal
6 Wang, Dengshan
6 Yan, Fangchi
6 Zhang, Yingnan
5 Cavalcante, Márcio André Araújo
5 Constantin, Adrian
5 Kevrekidis, Panayotis G.
5 Ling, Liming
5 Marangell, Robert
5 Oliveras, Katie L.
5 Pastor, Ademir
5 Sun, Wen-Rong
5 Wen, Xiaoyong
5 Wilkening, Jon A.
4 Berti, Massimiliano
4 Blyth, Mark G.
4 Bogatyrev, Andrei Borisovich
4 Chen, Jinbing
4 Colbrook, Matthew J.
4 Cole, Justin T.
4 Geng, Xianguo
4 Henry, David
4 Hu, Xingbiao
4 Malomed, Boris A.
4 Maspero, Alberto
4 Părău, Emilian I.
4 Pelinovsky, Efim
4 Plaza, Ramón G.
4 Sherratt, Jonathan A.
4 Shimabukuro, Yusuke
4 Sun, Xuan
4 Vanden-Broeck, Jean-Marc
4 Ventura, Paolo
4 Zharinov, Victor Victorovich
3 Abid, Malek
3 Ablowitz, Mark Jay
3 Agostini, Daniele
3 Amaral, Sabrina
3 Basu, Biswajit
3 Camassa, Roberto
3 Chen, Robin Ming
3 Chien, Mao-Ting
3 Coclite, Giuseppe Maria
3 Corcho, Adán J.
3 Creedon, Ryan P.
3 Crowdy, Darren Gregory
3 Di Ruvo, Lorenzo
3 Dyachenko, Sergey A.
3 Ehrnström, Mats
3 Grigor’ev, O. A.
3 Jia, Minxin
3 Kengne, Emmanuel
3 Kharif, Christian
3 Lafortune, Stéphane
3 Liu, Wuming
3 Lyons, Tony
3 Musslimani, Ziad H.
3 Nabelek, Patrik V.
3 Nachbin, André
3 Nakazato, Hiroshi
3 Naz, Rehana
3 Nguyen, Nghiem V.
3 Nivala, Michael
3 Olver, Sheehan Shakiban
3 Pelloni, Beatrice
3 Semenova, Anastassiya
...and 614 more Authors
all top 5

Cited in 157 Serials

51 Physica D
32 Journal of Fluid Mechanics
21 Studies in Applied Mathematics
19 Journal of Mathematical Physics
17 Nonlinearity
16 Communications in Nonlinear Science and Numerical Simulation
14 Journal of Differential Equations
13 Journal of Mathematical Analysis and Applications
12 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
12 Journal of Nonlinear Science
11 European Journal of Mechanics. B. Fluids
10 Communications in Mathematical Physics
10 Physics Letters. A
10 Wave Motion
10 SIAM Journal on Mathematical Analysis
9 Applied Mathematics Letters
9 Discrete and Continuous Dynamical Systems
8 Quarterly of Applied Mathematics
8 Journal of Physics A: Mathematical and Theoretical
7 Archive for Rational Mechanics and Analysis
7 Journal of Computational Physics
7 Mathematics of Computation
7 Mathematics and Computers in Simulation
7 SIAM Journal on Applied Mathematics
7 Nonlinear Analysis. Real World Applications
6 European Journal of Applied Mathematics
6 Computational Methods and Function Theory
6 Philosophical Transactions of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences
6 Water Waves
5 Applicable Analysis
5 Theoretical and Mathematical Physics
5 Nonlinear Dynamics
5 SIAM Journal on Applied Dynamical Systems
5 Analysis and Mathematical Physics
4 Computers & Mathematics with Applications
4 ZAMP. Zeitschrift für angewandte Mathematik und Physik
4 Applied Mathematics and Computation
4 Proceedings of the American Mathematical Society
4 Journal of Symbolic Computation
4 Journal of Dynamics and Differential Equations
3 Letters in Mathematical Physics
3 Mathematical Methods in the Applied Sciences
3 Journal of Computational and Applied Mathematics
3 Transactions of the American Mathematical Society
3 Linear Algebra and its Applications
3 Journal of Mathematical Fluid Mechanics
3 Proceedings of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences
2 International Journal of Modern Physics B
2 Communications on Pure and Applied Mathematics
2 Inverse Problems
2 Journal of Engineering Mathematics
2 Physica A
2 Advances in Mathematics
2 Systems & Control Letters
2 Acta Applicandae Mathematicae
2 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire
2 Applied Numerical Mathematics
2 Numerical Algorithms
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 Nonlinear Mathematical Physics
2 Journal of Evolution Equations
2 Discrete and Continuous Dynamical Systems. Series B
2 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications
2 Proceedings of the Steklov Institute of Mathematics
2 Mathematical Modelling of Natural Phenomena
2 Discrete and Continuous Dynamical Systems. Series S
2 Communications in Theoretical Physics
2 Journal of Spectral Theory
2 Arabian Journal of Mathematics
2 East Asian Journal on Applied Mathematics
2 SIAM Journal on Applied Algebra and Geometry
2 SN Partial Differential Equations and Applications
1 Acta Mechanica
1 Computer Physics Communications
1 International Journal of Theoretical Physics
1 Israel Journal of Mathematics
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 Bulletin de la Société Mathématique de France
1 Calcolo
1 Czechoslovak Mathematical Journal
1 Duke Mathematical Journal
1 Inventiones Mathematicae
1 Journal of Approximation Theory
1 Journal of Functional Analysis
1 Journal of the Indian Institute of Science
1 Mathematische Annalen
1 Mathematische Nachrichten
1 Memoirs of the American Mathematical Society
...and 57 more Serials
all top 5

Cited in 45 Fields

419 Partial differential equations (35-XX)
157 Fluid mechanics (76-XX)
136 Dynamical systems and ergodic theory (37-XX)
69 Numerical analysis (65-XX)
39 Algebraic geometry (14-XX)
24 Ordinary differential equations (34-XX)
24 Operator theory (47-XX)
22 Geophysics (86-XX)
20 Special functions (33-XX)
20 Statistical mechanics, structure of matter (82-XX)
19 Quantum theory (81-XX)
18 Computer science (68-XX)
16 Optics, electromagnetic theory (78-XX)
14 Functions of a complex variable (30-XX)
11 Difference and functional equations (39-XX)
9 Mechanics of deformable solids (74-XX)
7 Mechanics of particles and systems (70-XX)
6 Number theory (11-XX)
6 Linear and multilinear algebra; matrix theory (15-XX)
6 Statistics (62-XX)
6 Systems theory; control (93-XX)
5 Commutative algebra (13-XX)
5 Harmonic analysis on Euclidean spaces (42-XX)
5 Calculus of variations and optimal control; optimization (49-XX)
5 Global analysis, analysis on manifolds (58-XX)
4 Several complex variables and analytic spaces (32-XX)
4 Probability theory and stochastic processes (60-XX)
3 History and biography (01-XX)
3 Combinatorics (05-XX)
3 Functional analysis (46-XX)
3 Classical thermodynamics, heat transfer (80-XX)
3 Relativity and gravitational theory (83-XX)
3 Biology and other natural sciences (92-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 Integral equations (45-XX)
1 General and overarching topics; collections (00-XX)
1 \(K\)-theory (19-XX)
1 Measure and integration (28-XX)
1 Approximations and expansions (41-XX)
1 Geometry (51-XX)
1 Differential geometry (53-XX)
1 Operations research, mathematical programming (90-XX)

Citations by Year