Results 71 to 80 of about 15,266 (159)
Journal of Mathematics, Volume 2025, Issue 1, 2025.This work reveals the novel types of exact solitons for the coupled (2 + 1)‐dimensional Painlevé’s–Burgers model in the sense of novel fractional derivative. To gain the different kinds of exact solitons, we utilized the modified extended direct algebraic technique.
Waseem Razzaq +4 more
wiley +1 more source
Slowly rotating Bose Einstein condensate galactic dark matter halos, and their rotation curves
European Physical Journal C: Particles and Fields, 2018 If dark matter is composed of massive bosons, a Bose–Einstein condensation process must have occurred during the cosmological evolution. Therefore galactic dark matter may be in a form of a condensate, characterized by a strong self-interaction.
Xiaoyue Zhang +4 more
doaj +1 more source
Coupling Dynamics and Linear Polarization Phenomena in Codirectional Polariton Waveguide Couplers
Advanced Optical Materials, Volume 12, Issue 33, November 25, 2024.Rozas and co‐workers examine integrated devices utilizing polariton waveguides, forming codirectional couplers. With appropriate parameters, the transfer of polariton condensates between the arms is triggered and tunable Josephson‐type oscillations arise.
Elena Rozas +5 more
wiley +1 more source
Quantum field effects in coupled atomic and molecular Bose-Einstein condensates
, 2001 This paper examines the parameter regimes in which coupled atomic and molecular Bose-Einstein condensates do not obey the Gross-Pitaevskii equation. Stochastic field equations for coupled atomic and molecular condensates are derived using the functional ...
B. Levi +30 more
core +2 more sources
Mathematische Nachrichten, Volume 297, Issue 10, Page 3870-3886, October 2024.Abstract The Gross–Pitaevskii (GP) equation is a model for the description of the dynamics of Bose–Einstein condensates. Here, we consider the GP equation in a two‐dimensional setting with an external periodic potential in the x$x$‐direction and a harmonic oscillator potential in the y$y$‐direction in the so‐called tight‐binding limit.
Steffen Gilg, Guido Schneider
wiley +1 more source
Analytical Solution for the Gross-Pitaevskii Equation in Phase Space and Wigner Function
Advances in High Energy Physics, 2020 In this work, we study symplectic unitary representations for the Galilei group. As a consequence a nonlinear Schrödinger equation is derived in phase space.
A. X. Martins +6 more
doaj +1 more source
Rigorous Derivation of the Gross-Pitaevskii Equation
, 2006 The time dependent Gross-Pitaevskii equation describes the dynamics of initially trapped Bose-Einstein condensates. We present a rigorous proof of this fact starting from a many-body bosonic Schroedinger equation with a short scale repulsive interaction ...
Benjamin Schlein +4 more
core +1 more source
Complex Ginzburg–Landau equation for time‐varying anisotropic media
Studies in Applied Mathematics, Volume 153, Issue 3, October 2024.Abstract When extending the complex Ginzburg–Landau equation (CGLE) to more than one spatial dimension, there is an underlying question of whether one is capturing all the interesting physics inherent in these higher dimensions. Although spatial anisotropy is far less studied than its isotropic counterpart, anisotropy is fundamental in applications to ...
Robert A. Van Gorder
wiley +1 more source
Hydrodynamical form for the one-dimensional Gross-Pitaevskii equation
Electronic Journal of Differential Equations, 2014 We establish a well-posedness result for the hydrodynamical form (HGP) of the one dimensional Gross-Pitaevskii equation (GP) via the classical form of this equation.
Haidar Mohamad
doaj
Order Parameter at the Boundary of a Trapped Bose Gas
, 1996 Through a suitable expansion of the Gross-Pitaevskii equation near the classical turning point, we obtain an explicit solution for the order parameter at the boundary of a trapped Bose gas interacting with repulsive forces.
A. Griffin +12 more
core +1 more source