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nonlinear sciences - pattern formation and solitons (15) 15
physics - pattern formation and solitons (12) 12
physics, mathematical (11) 11
stability (11) 11
mathematics, applied (9) 9
optics (9) 9
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vortices (9) 9
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classical and quantum mechanics, general physics (4) 4
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optical lattices (3) 3
physics (3) 3
physics - data analysis, statistics and probability (3) 3
superconductivity (3) 3
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wave-guide lattices (3) 3
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Journal of Computational and Applied Mathematics, ISSN 0377-0427, 05/2014, Volume 262, Issue 1, pp. 127 - 138
Journal Article
Physical Review Letters, ISSN 0031-9007, 05/2011, Volume 106, Issue 19
Journal Article
Monthly Weather Review, ISSN 0027-0644, 11/2012, Volume 140, Issue 11, pp. 3757 - 3782
Journal Article
Physical Review Letters, ISSN 0031-9007, 12/2013, Volume 111, Issue 23, p. 235301
Fluids subjected to suitable forcing will exhibit turbulence, with characteristics strongly affected by the fluid's physical properties and dimensionality. In... 
RED SPOT | STATISTICAL-MECHANICS | MODEL | PHYSICS, MULTIDISCIPLINARY | Physics - Quantum Gases
Journal Article
Physical Review Letters, ISSN 0031-9007, 10/2010, Volume 105, Issue 16, p. 160405
We report the numerical realization of robust two-component structures in 2D and 3D Bose-Einstein condensates with nontrivial topological charge in one... 
DYNAMICS | GAS | STATES | VORTICES | PHYSICS, MULTIDISCIPLINARY | Physics - Pattern Formation and Solitons | TOPOLOGY | MATHEMATICS | SOLITONS | CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS | CONFINEMENT | POTENTIALS | THREE-DIMENSIONAL CALCULATIONS | TWO-DIMENSIONAL CALCULATIONS | QUASI PARTICLES | BOSE-EINSTEIN CONDENSATION
Journal Article
Journal of Quantitative Spectroscopy and Radiative Transfer, ISSN 0022-4073, 01/2020, Volume 240, Issue C, p. 106671
•Machine learning finds a model when no physics based model exists.•Using ML methods, reduced forward and direct inverse models can be obtained.•Models trained... 
FIELD PITCH-ANGLE | OPTIMIZATION | OPTICS | SPECTROSCOPY | DISCHARGES | LINES | ATOMIC AND MOLECULAR PHYSICS
Journal Article
Multiscale Modeling and Simulation, ISSN 1540-3459, 2018, Volume 16, Issue 4, pp. 1756 - 1794
Bayesian state estimation of a dynamical system from a stream of noisy measurements is important in many geophysical and engineering applications where high... 
3DVAR | model error | stochastic parameterization | data assimilation | SPEKF | Navier-Stokes equation | STABILITY | ECMWF IMPLEMENTATION | PHYSICS, MATHEMATICAL | STATE ESTIMATION | COVARIANCE STATISTICS | MATHEMATICS, INTERDISCIPLINARY APPLICATIONS | ENSEMBLE KALMAN FILTERS | VARIATIONAL ASSIMILATION 3D-VAR | DYNAMICAL-SYSTEMS | DISCRETE | DETERMINING NODES | MESOSCALE
Journal Article
Inverse Problems, ISSN 0266-5611, 09/2013, Volume 29, Issue 9, pp. 95017 - 27
We consider the inverse problem of estimating an unknown function u from noisy measurements y of a known, possibly nonlinear, map G applied to u. We adopt a... 
MATHEMATICS, APPLIED | NOISE | PHYSICS, MATHEMATICAL | GAUSSIAN PROCESS PRIORS | Inverse problems | Noise | Mathematical analysis | Consistency | Estimating | Bayesian analysis | Estimators | Navier-Stokes equations | Mathematics - Probability
Journal Article
Nature Communications, ISSN 2041-1723, 12/2018, Volume 9, Issue 1, pp. 513 - 11
Journal Article
Nonlinearity, ISSN 0951-7715, 10/2014, Volume 27, Issue 10, pp. 2579 - 2603
The ensemble Kalman filter (EnKF) is a method for combining a dynamical model with data in a sequential fashion. Despite its widespread use, there has been... 
stochastic analysis | data assimilation | ensemble Kalman filter | MATHEMATICS, APPLIED | PHYSICS, MATHEMATICAL | Additives | Algorithms | Inflation | Mathematical analysis | Mathematical models | Two dimensional | Variance | Navier-Stokes equations | Mathematics - Probability
Journal Article
Physical Review A - Atomic, Molecular, and Optical Physics, ISSN 1050-2947, 05/2014, Volume 89, Issue 5
We study conditions under which vortices in a highly oblate harmonically trapped Bose-Einstein condensate (BEC) can be stabilized due to pinning by a... 
VORTICES | PHYSICS, ATOMIC, MOLECULAR & CHEMICAL | OPTICS
Journal Article
Physical Review E - Statistical, Nonlinear, and Soft Matter Physics, ISSN 1539-3755, 10/2009, Volume 80, Issue 4, p. 046611
We study the existence and stability of localized modes in the two-dimensional (2D) nonlinear Schrödinger/Gross-Pitaevskii (NLS/GP) equation with a symmetric... 
Models, Theoretical | Quantum Theory | Algorithms | Computer Simulation | Light | Photons | Nonlinear Dynamics | Physics - Pattern Formation and Solitons
Journal Article
Physica D: Nonlinear Phenomena, ISSN 0167-2789, 02/2013, Volume 245, Issue 1, pp. 34 - 45
Data assimilation methodologies are designed to incorporate noisy observations of a physical system into an underlying model in order to infer the properties... 
Cycled 3DVAR | Navier–Stokes | Inverse problems | Tikhonov–Phillips regularization | Dissipative PDE | Data assimilation | Navier-Stokes | Tikhonov-Phillips regularization | MATHEMATICS, APPLIED | PHYSICS, MULTIDISCIPLINARY | PHYSICS, MATHEMATICAL | Weather | Algorithms | Noise control | Analysis | Differential equations | Mathematics - Optimization and Control
Journal Article
Physical Review A - Atomic, Molecular, and Optical Physics, ISSN 1050-2947, 05/2009, Volume 79, Issue 5
Journal Article
Physical Review A - Atomic, Molecular, and Optical Physics, ISSN 1050-2947, 09/2008, Volume 78, Issue 3
Solitons and necklaces in the first band gap of a two-dimensional optically induced honeycomb defocusing photonic lattice are theoretically considered. It is... 
NONLINEAR SCHRODINGER LATTICES | WAVE-GUIDE LATTICES | STABILITY | PHYSICS, ATOMIC, MOLECULAR & CHEMICAL | DYNAMICS | BREATHERS | OPTICS | DISCRETE SOLITONS | OPTICAL LATTICES | Physics - Pattern Formation and Solitons
Journal Article
Physical Review A - Atomic, Molecular, and Optical Physics, ISSN 1050-2947, 08/2009, Volume 80, Issue 2
We consider the manipulation of Bose-Einstein condensate vortices by optical potentials generated by focused laser beams. It is shown that for appropriate... 
DEFECTS | DARK SOLITONS | PHYSICS, ATOMIC, MOLECULAR & CHEMICAL | DYNAMICS | SUPERCONDUCTING FILMS | VORTEX STABILITY | CURRENTS | OPTICS | MATTER-WAVE SOLITONS | Physics - Pattern Formation and Solitons
Journal Article
Physical Review A - Atomic, Molecular, and Optical Physics, ISSN 1050-2947, 09/2010, Volume 82, Issue 3
Stable vortices with topological charges of 3 and 4 are examined numerically and analytically in photonic quasicrystals created by interference of five as well... 
WAVE | SCHRODINGER LATTICES | STABILITY | PHYSICS, ATOMIC, MOLECULAR & CHEMICAL | OPTICAL VORTICES | OPTICS | DISCRETE SOLITONS | VORTEX SOLITONS | TOPOLOGY | VORTICES | CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS | BEAMS | PHOTONS | SIMULATION | ELEMENTARY PARTICLES | BOSONS | COMPUTERIZED SIMULATION | MATHEMATICS | NONLINEAR PROBLEMS | PHOTON BEAMS | MASSLESS PARTICLES | INTERFERENCE
Journal Article
Physica D: Nonlinear Phenomena, ISSN 0167-2789, 2008, Volume 237, Issue 23, pp. 3123 - 3134
Dipole and quadrupole solitons in a two-dimensional optically induced defocusing photonic lattice are theoretically predicted and experimentally observed. It... 
Defocusing photonic lattices | Dipoles | Quadrupoles | Solitons | MATHEMATICS, APPLIED | WAVE-GUIDE LATTICES | PHYSICS, MULTIDISCIPLINARY | STABILITY | LIGHT | PHYSICS, MATHEMATICAL | ARRAYS | VORTEX SOLITONS | DYNAMICS | BREATHERS | Physics - Pattern Formation and Solitons
Journal Article
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