Edit Profile (opens in new tab) Deconinck, Bernard Compute Distance To: Compute 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 all top 5 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. all top 5 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) Publications by Year all cited Publications top 5 cited Publications 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 1105.65119Deconinck, Bernard; Kutz, J. Nathan 53 2006 The instability of periodic surface gravity waves. Zbl 1241.76212Deconinck, Bernard; Oliveras, Katie 39 2011 Recovering the water-wave profile from pressure measurements. Zbl 1343.76005Oliveras, K. L.; Vasan, V.; Deconinck, B.; Henderson, D. 38 2012 KdV cnoidal waves are spectrally stable. Zbl 1178.35327Bottman, Nate; Deconinck, Bernard 35 2009 Computing Riemann matrices of algebraic curves. Zbl 1054.14079Deconinck, Bernard; van Hoeij, Mark 29 2001 The method of fokas for solving linear partial differential equations. Zbl 1295.35002Deconinck, Bernard; Trogdon, Thomas; Vasan, Vishal 27 2014 The orbital stability of the cnoidal waves of the Korteweg-de Vries equation. Zbl 1238.35128Deconinck, Bernard; Kapitula, Todd 25 2010 Computing Riemann theta functions. Zbl 1092.33018Deconinck, Bernard; Heil, Matthias; Bobenko, Alexander; van Hoeij, Mark; Schmies, Marcus 24 2004 Global existence for a coupled system of Schrödinger equations with power-type nonlinearities. Zbl 1286.35230Nguyen, Nghiem V.; Tian, Rushun; Deconinck, Bernard; Sheils, Natalie 24 2013 On the spectral and orbital stability of spatially periodic stationary solutions of generalized Korteweg-de Vries equations. Zbl 1331.35305Kapitula, Todd; Deconinck, Bernard 24 2015 Numerical inverse scattering for the Korteweg-de Vries and modified Korteweg-de Vries equations. Zbl 1248.65108Trogdon, Thomas; Olver, Sheehan; Deconinck, Bernard 19 2012 Elliptic solutions of the defocusing NLS equation are stable. Zbl 1222.81157Bottman, Nathaniel; Deconinck, Bernard; Nivala, Michael 18 2011 The stability analysis of the periodic traveling wave solutions of the mKdV equation. Zbl 1231.35197Deconinck, B.; Nivala, M. 18 2011 The inverse water wave problem of bathymetry detection. Zbl 1284.76077Vasan, Vishal; Deconinck, Bernard 15 2013 SpectrUW: a laboratory for the numerical exploration of spectra of linear operators. Zbl 1113.65058Deconinck, Bernard; Kiyak, Firat; Carter, John D.; Kutz, J. Nathan 15 2007 High-frequency instabilities of small-amplitude solutions of Hamiltonian PDEs. Zbl 1365.37057Deconinck, Bernard; Trichtchenko, Olga 15 2017 On the convergence of Hill’s method. Zbl 1205.34116Curtis, Christopher W.; Deconinck, Bernard 14 2010 Computational approach to Riemann surfaces. Zbl 1207.14002 14 2011 Continuous and discrete homotopy operators and the computation of conservation laws. Zbl 1161.65376Hereman, Willy; Colagrosso, Michael; Sayers, Ryan; Ringler, Adam; Deconinck, Bernard; Nivala, Michael; Hickman, Mark 13 2005 Dynamics and stability of Bose-Einstein condensates: the nonlinear Schrödinger equation with periodic potential. Zbl 1009.35078Deconinck, B.; Frigyik, B. A.; Kutz, J. N. 12 2002 Stability of periodic gravity waves in the presence of surface tension. Zbl 1297.76028Deconinck, Bernard; Trichtchenko, Olga 11 2014 Transverse instabilities of deep-water solitary waves. Zbl 1149.76627Deconinck, Bernard; Pelinovsky, Dmitry E.; Carter, John D. 11 2006 The linear KdV equation with an interface. Zbl 1351.35170Deconinck, Bernard; Sheils, Natalie E.; Smith, David A. 10 2016 Spectral stability of stationary solutions of a Boussinesq system describing long waves in dispersive media. Zbl 1300.35090Chen, Min; Curtis, Christopher W.; Deconinck, Bernard; Lee, Crystal W.; Nguyen, Nghiem 9 2010 Relating the bottom pressure and the surface elevation in the water wave problem. Zbl 1362.35220Deconinck, B.; Oliveras, K. L.; Vasan, V. 9 2012 The stability spectrum for elliptic solutions to the focusing NLS equation. Zbl 1415.35251Deconinck, Bernard; Segal, Benjamin L. 8 2017 The solution of linear constant-coefficient evolution PDEs with periodic boundary conditions. Zbl 1242.35011Trogdon, Thomas; Deconinck, Bernard 8 2012 A Riemann-Hilbert problem for the finite-genus solutions of the KdV equation and its numerical solution. Zbl 1278.37050Trogdon, Thomas; Deconinck, Bernard 8 2013 Periodic finite-genus solutions of the KdV equation are orbitally stable. Zbl 1189.37080Nivala, Michael; Deconinck, Bernard 8 2010 Computing with plane algebraic curves and Riemann surfaces: the algorithms of the Maple package “algcurves”. Zbl 1213.14114Deconinck, Bernard; Patterson, Matthew S. 8 2011 Pole dynamics for elliptic solutions of the Korteweg-de Vries equation. Zbl 0970.35130Deconinck, Bernard; Segur, Harvey 8 2000 Stability of periodic traveling wave solutions to the Kawahara equation. Zbl 1404.76054Trichtchenko, Olga; Deconinck, Bernard; Kollár, Richard 8 2018 The instability of Wilton ripples. Zbl 1467.76018Trichtchenko, Olga; Deconinck, Bernard; Wilkening, Jon 7 2016 Short-wave transverse instabilities of line solitons of the two-dimensional hyperbolic nonlinear Schrödinger equation. Zbl 1301.35156Pelinovsky, D. E.; Rouvinskaya, E. A.; Kurkina, O. E.; Deconinck, B. 7 2014 A numerical dressing method for the nonlinear superposition of solutions of the KdV equation. Zbl 1302.65234Trogdon, Thomas; Deconinck, Bernard 7 2014 Numerical computation of the finite-genus solutions of the Korteweg-de Vries equation via Riemann-Hilbert problems. Zbl 1255.65177Trogdon, Thomas; Deconinck, Bernard 7 2013 Dynamics of periodic multi-component Bose-Einstein condensates. Zbl 1038.82056Deconinck, Bernard; Kutz, J. Nathan; Patterson, Matthew S.; Warner, Brandon W. 7 2003 Interface problems for dispersive equations. Zbl 1314.35125Sheils, Natalie E.; Deconinck, Bernard 7 2015 Initial-to-interface maps for the heat equation on composite domains. Zbl 1346.35195Sheils, Natalie E.; Deconinck, Bernard 7 2016 The stability spectrum for elliptic solutions to the sine-Gordon equation. Zbl 1378.35028Deconinck, Bernard; McGill, Peter; Segal, Benjamin L. 6 2017 Well-posedness of boundary-value problems for the linear Benjamin-Bona-Mahony equation. Zbl 1277.35115Vasan, Vishal; Deconinck, Bernard 6 2013 Computing the Abel map. Zbl 1200.37069Deconinck, Bernard; Patterson, Matthew S. 6 2008 The interaction of long and short waves in dispersive media. Zbl 1349.76030Deconinck, Bernard; Nguyen, Nghiem V.; Segal, Benjamin L. 6 2016 Continuous and discrete homotopy operators: a theoretical approach made concrete. Zbl 1120.65073Hereman, W.; Deconinck, B.; Poole, L. D. 6 2007 Direct characterization of spectral stability of small-amplitude periodic waves in scalar Hamiltonian problems via dispersion relation. Zbl 1426.37053Kollár, Richard; Deconinck, Bernard; Trichtchenko, Olga 5 2019 Exact nonstationary solutions to the mean-field equations of motion for two-component Bose-Einstein condensates in periodic potentials. Zbl 1136.82339Bradley, R. Mark; Deconinck, Bernard; Kutz, J. Nathan 5 2005 The KP equation with quasiperiodic initial data. Zbl 0938.35165Deconinck, Bernard; Segur, Harvey 5 1998 Stability of exact solutions of the defocusing nonlinear Schrödinger equation with periodic potential in two dimensions. Zbl 0984.81028Deconinck, B.; Frigyik, B. A.; Kutz, J. N. 5 2001 Heat conduction on the ring: interface problems with periodic boundary conditions. Zbl 1314.80002Sheils, Natalie E.; Deconinck, Bernard 5 2014 Symbolic integration using homotopy methods. Zbl 1182.65044Deconinck, Bernard; Nivala, Michael 5 2009 Fokas’s unified transform method for linear systems. Zbl 1407.35004Deconinck, Bernard; Guo, Qi; Shlizerman, Eli; Vasan, Vishal 4 2018 Real Lax spectrum implies spectral stability. Zbl 1457.37094Upsal, Jeremy; Deconinck, Bernard 4 2020 Instabilities of one-dimensional trivial-phase solutions of the two-dimensional cubic nonlinear Schrödinger equation. Zbl 1091.35086Carter, John D.; Deconinck, Bernard 4 2006 The Bernoulli boundary condition for traveling water waves. Zbl 1320.76022Vasan, Vishal; Deconinck, Bernard 4 2013 A constructive test for integrability of semi-discrete systems. Zbl 1037.37505Deconinck, Bernard 4 1996 Explicit solutions for a long-wave model with constant vorticity. Zbl 1408.76087Segal, Benjamin L.; Moldabayev, Daulet; Kalisch, Henrik; Deconinck, Bernard 3 2017 A method to recover water-wave profiles from pressure measurements. Zbl 07213212Vasan, Vishal; Oliveras, Katie; Henderson, Diane; Deconinck, Bernard 3 2017 Computing Riemann theta functions in Sage with applications. Zbl 07313685Swierczewski, Christopher; Deconinck, Bernard 3 2016 Canonical variables for multiphase solutions of the KP equation. Zbl 1002.37033Deconinck, Bernard 2 2000 Singular instability of exact stationary solutions of the non-local Gross-Pitaevskii equation. Zbl 1045.35077Deconinck, Bernard; Kutz, J. Nathan 2 2003 The orbital stability of elliptic solutions of the focusing nonlinear Schrödinger equation. Zbl 1437.37096Deconinck, Bernard; Upsal, Jeremy 2 2020 The pole dynamics of rational solutions of the viscous Burgers equation. Zbl 1119.35074Deconinck, Bernard; Kimura, Yoshifumi; Segur, Harvey 2 2007 High-frequency instabilities of the Kawahara equation: a perturbative approach. Zbl 1478.35072Creedon, Ryan; Deconinck, Bernard; Trichtchenko, Olga 2 2021 On the nonintegrability of equations for long- and short-wave interactions. Zbl 1396.35052Deconinck, Bernard; Upsal, Jeremy 1 2018 Data analysis and reduction using stationary solutions of the NLS equation. Zbl 1191.81110Deconinck, Bernard; Lovit, David O. 1 2010 The instabilities of periodic traveling water waves with respect to transverse perturbations. Zbl 1326.35283Oliveras, Katie; Deconinck, Bernard 1 2015 Dispersive and soliton perturbations of finite-genus solutions of the KdV equation: computational results. Zbl 1331.35312Trogdon, Thomas; Deconinck, Bernard 1 2014 High-frequency instabilities of the Kawahara equation: a perturbative approach. Zbl 1478.35072Creedon, Ryan; Deconinck, Bernard; Trichtchenko, Olga 2 2021 Real Lax spectrum implies spectral stability. Zbl 1457.37094Upsal, Jeremy; Deconinck, Bernard 4 2020 The orbital stability of elliptic solutions of the focusing nonlinear Schrödinger equation. Zbl 1437.37096Deconinck, Bernard; Upsal, Jeremy 2 2020 Direct characterization of spectral stability of small-amplitude periodic waves in scalar Hamiltonian problems via dispersion relation. Zbl 1426.37053Kollár, Richard; Deconinck, Bernard; Trichtchenko, Olga 5 2019 Stability of periodic traveling wave solutions to the Kawahara equation. Zbl 1404.76054Trichtchenko, Olga; Deconinck, Bernard; Kollár, Richard 8 2018 Fokas’s unified transform method for linear systems. Zbl 1407.35004Deconinck, Bernard; Guo, Qi; Shlizerman, Eli; Vasan, Vishal 4 2018 On the nonintegrability of equations for long- and short-wave interactions. Zbl 1396.35052Deconinck, Bernard; Upsal, Jeremy 1 2018 High-frequency instabilities of small-amplitude solutions of Hamiltonian PDEs. Zbl 1365.37057Deconinck, Bernard; Trichtchenko, Olga 15 2017 The stability spectrum for elliptic solutions to the focusing NLS equation. Zbl 1415.35251Deconinck, Bernard; Segal, Benjamin L. 8 2017 The stability spectrum for elliptic solutions to the sine-Gordon equation. Zbl 1378.35028Deconinck, Bernard; McGill, Peter; Segal, Benjamin L. 6 2017 Explicit solutions for a long-wave model with constant vorticity. Zbl 1408.76087Segal, Benjamin L.; Moldabayev, Daulet; Kalisch, Henrik; Deconinck, Bernard 3 2017 A method to recover water-wave profiles from pressure measurements. Zbl 07213212Vasan, Vishal; Oliveras, Katie; Henderson, Diane; Deconinck, Bernard 3 2017 The linear KdV equation with an interface. Zbl 1351.35170Deconinck, Bernard; Sheils, Natalie E.; Smith, David A. 10 2016 The instability of Wilton ripples. Zbl 1467.76018Trichtchenko, Olga; Deconinck, Bernard; Wilkening, Jon 7 2016 Initial-to-interface maps for the heat equation on composite domains. Zbl 1346.35195Sheils, Natalie E.; Deconinck, Bernard 7 2016 The interaction of long and short waves in dispersive media. Zbl 1349.76030Deconinck, Bernard; Nguyen, Nghiem V.; Segal, Benjamin L. 6 2016 Computing Riemann theta functions in Sage with applications. Zbl 07313685Swierczewski, Christopher; Deconinck, Bernard 3 2016 On the spectral and orbital stability of spatially periodic stationary solutions of generalized Korteweg-de Vries equations. Zbl 1331.35305Kapitula, Todd; Deconinck, Bernard 24 2015 Interface problems for dispersive equations. Zbl 1314.35125Sheils, Natalie E.; Deconinck, Bernard 7 2015 The instabilities of periodic traveling water waves with respect to transverse perturbations. Zbl 1326.35283Oliveras, Katie; Deconinck, Bernard 1 2015 The method of fokas for solving linear partial differential equations. Zbl 1295.35002Deconinck, Bernard; Trogdon, Thomas; Vasan, Vishal 27 2014 Stability of periodic gravity waves in the presence of surface tension. Zbl 1297.76028Deconinck, Bernard; Trichtchenko, Olga 11 2014 Short-wave transverse instabilities of line solitons of the two-dimensional hyperbolic nonlinear Schrödinger equation. Zbl 1301.35156Pelinovsky, D. E.; Rouvinskaya, E. A.; Kurkina, O. E.; Deconinck, B. 7 2014 A numerical dressing method for the nonlinear superposition of solutions of the KdV equation. Zbl 1302.65234Trogdon, Thomas; Deconinck, Bernard 7 2014 Heat conduction on the ring: interface problems with periodic boundary conditions. Zbl 1314.80002Sheils, Natalie E.; Deconinck, Bernard 5 2014 Dispersive and soliton perturbations of finite-genus solutions of the KdV equation: computational results. Zbl 1331.35312Trogdon, Thomas; Deconinck, Bernard 1 2014 Global existence for a coupled system of Schrödinger equations with power-type nonlinearities. Zbl 1286.35230Nguyen, Nghiem V.; Tian, Rushun; Deconinck, Bernard; Sheils, Natalie 24 2013 The inverse water wave problem of bathymetry detection. Zbl 1284.76077Vasan, Vishal; Deconinck, Bernard 15 2013 A Riemann-Hilbert problem for the finite-genus solutions of the KdV equation and its numerical solution. Zbl 1278.37050Trogdon, Thomas; Deconinck, Bernard 8 2013 Numerical computation of the finite-genus solutions of the Korteweg-de Vries equation via Riemann-Hilbert problems. Zbl 1255.65177Trogdon, Thomas; Deconinck, Bernard 7 2013 Well-posedness of boundary-value problems for the linear Benjamin-Bona-Mahony equation. Zbl 1277.35115Vasan, Vishal; Deconinck, Bernard 6 2013 The Bernoulli boundary condition for traveling water waves. Zbl 1320.76022Vasan, Vishal; Deconinck, Bernard 4 2013 Recovering the water-wave profile from pressure measurements. Zbl 1343.76005Oliveras, K. L.; Vasan, V.; Deconinck, B.; Henderson, D. 38 2012 Numerical inverse scattering for the Korteweg-de Vries and modified Korteweg-de Vries equations. Zbl 1248.65108Trogdon, Thomas; Olver, Sheehan; Deconinck, Bernard 19 2012 Relating the bottom pressure and the surface elevation in the water wave problem. Zbl 1362.35220Deconinck, B.; Oliveras, K. L.; Vasan, V. 9 2012 The solution of linear constant-coefficient evolution PDEs with periodic boundary conditions. Zbl 1242.35011Trogdon, Thomas; Deconinck, Bernard 8 2012 The instability of periodic surface gravity waves. Zbl 1241.76212Deconinck, Bernard; Oliveras, Katie 39 2011 Elliptic solutions of the defocusing NLS equation are stable. Zbl 1222.81157Bottman, Nathaniel; Deconinck, Bernard; Nivala, Michael 18 2011 The stability analysis of the periodic traveling wave solutions of the mKdV equation. Zbl 1231.35197Deconinck, B.; Nivala, M. 18 2011 Computational approach to Riemann surfaces. Zbl 1207.14002 14 2011 Computing with plane algebraic curves and Riemann surfaces: the algorithms of the Maple package “algcurves”. Zbl 1213.14114Deconinck, Bernard; Patterson, Matthew S. 8 2011 The orbital stability of the cnoidal waves of the Korteweg-de Vries equation. Zbl 1238.35128Deconinck, Bernard; Kapitula, Todd 25 2010 On the convergence of Hill’s method. Zbl 1205.34116Curtis, Christopher W.; Deconinck, Bernard 14 2010 Spectral stability of stationary solutions of a Boussinesq system describing long waves in dispersive media. Zbl 1300.35090Chen, Min; Curtis, Christopher W.; Deconinck, Bernard; Lee, Crystal W.; Nguyen, Nghiem 9 2010 Periodic finite-genus solutions of the KdV equation are orbitally stable. Zbl 1189.37080Nivala, Michael; Deconinck, Bernard 8 2010 Data analysis and reduction using stationary solutions of the NLS equation. Zbl 1191.81110Deconinck, Bernard; Lovit, David O. 1 2010 KdV cnoidal waves are spectrally stable. Zbl 1178.35327Bottman, Nate; Deconinck, Bernard 35 2009 Symbolic integration using homotopy methods. Zbl 1182.65044Deconinck, Bernard; Nivala, Michael 5 2009 Computing the Abel map. Zbl 1200.37069Deconinck, Bernard; Patterson, Matthew S. 6 2008 SpectrUW: a laboratory for the numerical exploration of spectra of linear operators. Zbl 1113.65058Deconinck, Bernard; Kiyak, Firat; Carter, John D.; Kutz, J. Nathan 15 2007 Continuous and discrete homotopy operators: a theoretical approach made concrete. Zbl 1120.65073Hereman, W.; Deconinck, B.; Poole, L. D. 6 2007 The pole dynamics of rational solutions of the viscous Burgers equation. Zbl 1119.35074Deconinck, Bernard; Kimura, Yoshifumi; Segur, Harvey 2 2007 Computing spectra of linear operators using the Floquet-Fourier-Hill method. Zbl 1105.65119Deconinck, Bernard; Kutz, J. Nathan 53 2006 Transverse instabilities of deep-water solitary waves. Zbl 1149.76627Deconinck, Bernard; Pelinovsky, Dmitry E.; Carter, John D. 11 2006 Instabilities of one-dimensional trivial-phase solutions of the two-dimensional cubic nonlinear Schrödinger equation. Zbl 1091.35086Carter, John D.; Deconinck, Bernard 4 2006 Continuous and discrete homotopy operators and the computation of conservation laws. Zbl 1161.65376Hereman, Willy; Colagrosso, Michael; Sayers, Ryan; Ringler, Adam; Deconinck, Bernard; Nivala, Michael; Hickman, Mark 13 2005 Exact nonstationary solutions to the mean-field equations of motion for two-component Bose-Einstein condensates in periodic potentials. Zbl 1136.82339Bradley, R. Mark; Deconinck, Bernard; Kutz, J. Nathan 5 2005 Computing Riemann theta functions. Zbl 1092.33018Deconinck, Bernard; Heil, Matthias; Bobenko, Alexander; van Hoeij, Mark; Schmies, Marcus 24 2004 Dynamics of periodic multi-component Bose-Einstein condensates. Zbl 1038.82056Deconinck, Bernard; Kutz, J. Nathan; Patterson, Matthew S.; Warner, Brandon W. 7 2003 Singular instability of exact stationary solutions of the non-local Gross-Pitaevskii equation. Zbl 1045.35077Deconinck, Bernard; Kutz, J. Nathan 2 2003 Dynamics and stability of Bose-Einstein condensates: the nonlinear Schrödinger equation with periodic potential. Zbl 1009.35078Deconinck, B.; Frigyik, B. A.; Kutz, J. N. 12 2002 Computing Riemann matrices of algebraic curves. Zbl 1054.14079Deconinck, Bernard; van Hoeij, Mark 29 2001 Stability of exact solutions of the defocusing nonlinear Schrödinger equation with periodic potential in two dimensions. Zbl 0984.81028Deconinck, B.; Frigyik, B. A.; Kutz, J. N. 5 2001 Pole dynamics for elliptic solutions of the Korteweg-de Vries equation. Zbl 0970.35130Deconinck, Bernard; Segur, Harvey 8 2000 Canonical variables for multiphase solutions of the KP equation. Zbl 1002.37033Deconinck, Bernard 2 2000 The KP equation with quasiperiodic initial data. Zbl 0938.35165Deconinck, Bernard; Segur, Harvey 5 1998 A constructive test for integrability of semi-discrete systems. Zbl 1037.37505Deconinck, Bernard 4 1996 all cited Publications top 5 cited Publications 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) Citations by Year