Results 41 to 50 of about 1,617,542 (166)
Standing waves of nonlinear Schrödinger systems with all attractive forces
Journal of the London Mathematical Society, Volume 113, Issue 6, June 2026.Abstract Since the pioneering work of Lin and Wei on nonlinear Schrödinger systems of n$n$ components with interaction forces aij$a_{ij}$ between the i$i$‐th and j$j$‐th components for 1⩽i,j⩽n$1\leqslant i,j\leqslant n$, there have been numerous further developments in many directions. However, even in the simplest case where all interaction forces are
Jaeyoung Byeon
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Multiple front and pulse solutions in spatially periodic systems
Journal of the London Mathematical Society, Volume 113, Issue 4, April 2026.Abstract In this paper, we develop a comprehensive mathematical toolbox for the construction and spectral stability analysis of stationary multiple front and pulse solutions to general semilinear evolution problems on the real line with spatially periodic coefficients.
Lukas Bengel, Björn de Rijk
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Self-Similarity Analysis of the Nonlinear Schrödinger Equation in the Madelung Form
Advances in Mathematical Physics, 2018 In the present study a particular case of Gross-Pitaevskii or nonlinear Schrödinger equation is rewritten to a form similar to a hydrodynamic Euler equation using the Madelung transformation.
Imre F. Barna +2 more
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Emerging Device Applications From Strong Light–Matter Interactions in 2D Materials
Advanced Science, Volume 13, Issue 17, 23 March 2026.Two‐dimensional semiconductors enable extremely compact optoelectronic devices such as solar cells, sensors, LEDs, and lasers. Their strong light–matter interactions allow efficient light emission, detection, and energy conversion. This review article discusses the recent progress in integrating these materials with optical cavities and nanostructures ...
Janani Archana K +7 more
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Acta Polytechnica, 2013 We investigate the Gross-Pitaevskii equation for a Bose-Einstein condensate in a PT symmetric double-well potential by means of the time-dependent variational principle and numerically exact solutions.
Holger Cartarius +5 more
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Dynamical behaviour and solutions in the fractional Gross–Pitaevskii model
Mathematical and Computer Modelling of Dynamical SystemsThe Gross–Pitaevskii equation is widely known for its applications in fields such as Bose–Einstein condensates and optical fibres. This study investigates the dynamical behaviour of various wave solutions to the M-fractional nonlinear Gross–Pitaevskii ...
Beenish +3 more
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An Efficient Compact Finite Difference Method for the Solution of the Gross-Pitaevskii Equation
Advances in Condensed Matter Physics, 2015 We present an efficient, unconditionally stable, and accurate numerical method for the solution of the Gross-Pitaevskii equation. We begin with an introduction on the gradient flow with discrete normalization (GFDN) for computing stationary states of a ...
Rongpei Zhang, Jia Liu, Guozhong Zhao
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Vortex Line Density in a Superfluid Turbulent Wake in the Zero Temperature Limit
Annalen der Physik, Volume 538, Issue 1, January 2026.The quasiclassical conjecture for quantum turbulence in a pure superfluid straightforwardly leads to the definition of the superfluid Reynolds number, Res=ud/κ$Re_s=ud/\kappa$, and suggests that the effective quantum viscosity should be of the order of the circulation quantum κ$\kappa$.
Hiromitsu Takeuchi
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Dynamical Symmetry and Breathers in a Two-Dimensional Bose Gas
Physical Review X, 2019 A fluid is said to be scale invariant when its interaction and kinetic energies have the same scaling in a dilation operation. In association with the more general conformal invariance, scale invariance provides a dynamical symmetry which has profound ...
R. Saint-Jalm +7 more
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Broadening of Spectral Lines for Decaying Trapped States of Photonic Meta‐Atoms
Electronics Letters, Volume 62, Issue 1, January/December 2026.We discuss the phase‐matched capture‐and‐decay of dispersive waves by a photonic meta‐atom, enabled by higher‐order dispersive effects in a nonlinear waveguide. The emitted resonant modes exhibit a Lorentzian lineshape, with width determined by the lifetime of the decay process.
Shihao Zhang +4 more
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