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2015, Grundlehren der mathematischen Wissenschaften, ISBN 9783319247779, Volume 351., xxi, 581 pages
This monograph provides a concise presentation of a mathematical approach to metastability, a wide-spread phenomenon in the dynamics of non-linear systems -... 
Markov processes | Stability | Noise | Nonlinear systems | Mathematical physics | Distribution (Probability theory | Probability Theory and Stochastic Processes | Mathematics | Mathematical Physics | Theoretical, Mathematical and Computational Physics
Book
2011, London Mathematical Society lecture note series, ISBN 9781107621541, Volume 390., x, 398
This book provides a comprehensive treatment of the Gross–Pitaevskii equation with a periodic potential; in particular, the localized modes supported by the... 
Localization theory | Schrödinger equation | Gross-Pitaevskii equations | Schrodinger operator | Lattice theory | Bose-Einstein condensation
Book
Physical Review Letters, ISSN 0031-9007, 02/2007, Volume 98, Issue 7, p. 074102
Novel soliton solutions for the nonautonomous nonlinear Schrodinger equation models with linear and harmonic oscillator potentials substantially extend the... 
BOOMERON | WAVES | EVOLUTION | PHYSICS, MULTIDISCIPLINARY | VARYING DISPERSION | DYNAMICS | MEDIA | MODEL | COMPRESSION | NONLINEAR SCHRODINGER-EQUATION | LATTICE
Journal Article
Physical Review Letters, ISSN 0031-9007, 01/2008, Volume 100, Issue 3, p. 030402
We investigate the effect of nonlinearity on beam dynamics in parity-time (PT) symmetric potentials. We show that a novel class of one- and two-dimensional... 
EIGENVALUES | PHYSICS, MULTIDISCIPLINARY | REAL | DIFFRACTION | SPECTRA | EQUATION | NON-HERMITIAN HAMILTONIANS | PARITY | SOLITONS | NONLINEAR PROBLEMS | CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS | TRAPPING | BEAM DYNAMICS | POTENTIALS | TWO-DIMENSIONAL CALCULATIONS | PERIODICITY
Journal Article
Reviews of Modern Physics, ISSN 0034-6861, 04/2013, Volume 85, Issue 2, pp. 553 - 601
Journal Article
Physical Review A - Atomic, Molecular, and Optical Physics, ISSN 1050-2947, 01/2014, Volume 89, Issue 1
Existence and stability of PT-symmetric gap solitons in a periodic structure with defocusing nonlocal nonlinearity are studied both theoretically and... 
OSCILLATORY INSTABILITIES | STABILITY | PHYSICS, ATOMIC, MOLECULAR & CHEMICAL | CRYSTALS | MEDIA | LATTICES | OPTICS | SPATIAL SOLITONS | PROPAGATION | Physics - Pattern Formation and Solitons
Journal Article
Physical Review Letters, ISSN 0031-9007, 11/2015, Volume 115, Issue 19, p. 193902
Journal Article
Physical Review A - Atomic, Molecular, and Optical Physics, ISSN 1050-2947, 10/2011, Volume 84, Issue 4
The existence and stability of fundamental, dipole, and tripole solitons in Kerr nonlinear media with parity-time-symmetric Gaussian complex potentials are... 
OPTICS | SOLITARY WAVES | ITERATION METHODS | DIRAC-EQUATION | PHYSICS, ATOMIC, MOLECULAR & CHEMICAL | Physics - Optics | PHYSICS OF ELEMENTARY PARTICLES AND FIELDS | DIPOLES | PARITY | SOLITONS | SYMMETRY | NONLINEAR PROBLEMS | T INVARIANCE | CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS | P INVARIANCE | STABILITY | POTENTIALS | MODULATION
Journal Article
Scientific Reports, ISSN 2045-2322, 06/2014, Volume 4, Issue 1, p. 5274
Non-zero curvature in a waveguide leads to the appearance of an attractive quantum potential which crucially affects the dynamics in matter-wave circuits.... 
QUANTUM CARPETS | COLD ATOMS | BOSE-EINSTEIN CONDENSATE | BOUND-STATES | MULTIDISCIPLINARY SCIENCES | PROPAGATION | Circuits | Quantum theory
Journal Article
Journal of the European Mathematical Society, ISSN 1435-9855, 2018, Volume 20, Issue 4, pp. 929 - 1004
We settle the longstanding problem of establishing pointwise potential estimates for vectorial solutions u : Omega -> R-N to the non-homogeneous p-Laplacean... 
Measure data | Nonlinear potential theory | Regularity | Degenerate elliptic systems | MATHEMATICS, APPLIED | INTEGRABILITY | PARABOLIC EQUATIONS | APPROXIMATION | measure data | ZYGMUND THEORY | GRADIENT REGULARITY | regularity | REARRANGEMENTS | MATHEMATICS | degenerate elliptic systems | SYSTEMS | P-HARMONIC MAPS | RIGHT-HAND SIDE | ELLIPTIC-EQUATIONS
Journal Article
PROCEEDINGS OF THE ROYAL SOCIETY A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES, ISSN 1364-5021, 06/2019, Volume 475, Issue 2226, p. 20190144
Generalizing Maxwell's (Maxwell 1867 IV. Phil. Trans. R. Soc. Lond. 157, 49-88 (doi: 10.1098/rstl.1867.0004)) classical formula, this paper shows how the... 
energy landscape | elastic failure | MECHANICS | THERMODYNAMICS | MULTIDISCIPLINARY SCIENCES | nonlinear Onsager symmetry | DILATANCY | MODEL | dissipative systems | PLASTICITY
Journal Article