Bernard Deconinck
TitleCited byYear
Bose-Einstein condensates in standing waves: The cubic nonlinear Schrödinger equation with a periodic potential
JC Bronski, LD Carr, B Deconinck, JN Kutz
Physical Review Letters 86 (8), 1402, 2001
Stability of repulsive Bose-Einstein condensates in a periodic potential
JC Bronski, LD Carr, B Deconinck, JN Kutz, K Promislow
Physical Review E 63 (3), 036612, 2001
Computing spectra of linear operators using the Floquet–Fourier–Hill method
B Deconinck, JN Kutz
Journal of Computational Physics 219 (1), 296-321, 2006
Stability of attractive Bose-Einstein condensates in a periodic potential
JC Bronski, LD Carr, R Carretero-González, B Deconinck, JN Kutz, ...
Physical Review E 64 (5), 056615, 2001
Computing Riemann matrices of algebraic curves
B Deconinck, M Van Hoeij
Physica D: Nonlinear Phenomena 152, 28-46, 2001
Computing Riemann theta functions
B Deconinck, M Heil, A Bobenko, M Van Hoeij, M Schmies
Mathematics of Computation 73 (247), 1417-1442, 2004
KdV cnoidal waves are spectrally stable
N Bottman, B Deconinck
Discrete and Continuous Dynamical Systems-Series A (DCDS-A) 25 (4), 1163, 2009
Linearly coupled Bose-Einstein condensates: From Rabi oscillations and quasiperiodic solutions to oscillating domain walls and spiral waves
B Deconinck, PG Kevrekidis, HE Nistazakis, DJ Frantzeskakis
Physical Review A 70 (6), 063605, 2004
The instability of periodic surface gravity waves
B Deconinck, K Oliveras
Journal of Fluid Mechanics 675, 141-167, 2011
Dynamics of periodic multi-component Bose–Einstein condensates
B Deconinck, JN Kutz, MS Patterson, BW Warner
Journal of Physics A: Mathematical and General 36 (20), 5431, 2003
The method of Fokas for solving linear partial differential equations
B Deconinck, T Trogdon, V Vasan
SIAM Review 56 (1), 159-186, 2014
Recovering the water-wave profile from pressure measurements
KL Oliveras, V Vasan, B Deconinck, D Henderson
SIAM Journal on Applied Mathematics 72 (3), 897-918, 2012
On the convergence of Hill’s method
C Curtis, B Deconinck
Mathematics of computation 79 (269), 169-187, 2010
Continuous and discrete homotopy operators and the computation of conservation laws
W Hereman, M Colagrosso, R Sayers, A Ringler, B Deconinck, M Nivala, ...
Differential Equations with Symbolic Computation, 255-290, 2005
Dynamics and Stability of Bose-Einstein Condensates: The Nonlinear Schrödinger Equation with Periodic Potential.
B Deconinck, BA Frigyik, JN Kutz
Journal of Nonlinear Science 12 (3), 169-205, 2002
Global existence for a coupled system of Schrödinger equations with power-type nonlinearities
NV Nguyen, R Tian, B Deconinck, N Sheils
Journal of Mathematical Physics 54 (1), 011503, 2013
Numerical inverse scattering for the Korteweg–de Vries and modified Korteweg–de Vries equations
T Trogdon, S Olver, B Deconinck
Physica D: Nonlinear Phenomena 241 (11), 1003-1025, 2012
On the orbital (in) stability of spatially periodic stationary solutions of generalized Korteweg-de Vries equations
B Deconinck, T Kapitula
preprint, 2010
Transverse instabilities of deep-water solitary waves
B Deconinck, DE Pelinovsky, JD Carter
Proceedings of the Royal Society A: Mathematical, Physical and Engineering …, 2006
Stability of exact solutions of the defocusing nonlinear Schrödinger equation with periodic potential in two dimensions
B Deconinck, BA Frigyik, JN Kutz
Physics Letters A 283 (3-4), 177-184, 2001
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