Results 111 to 120 of about 32,263 (260)

Exploring Solitons and Modulation Instability in the Nonlinear Fractional Coupled Painlevé–Burgers Model

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, Asim Zafar, Naif Almusallam, Fawaz Khaled Alarfaj, Pramita Mishra   +4 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, D. J. Heinzen, D. Walls, E. A. Burt, E. P. Gross, J. J. Hope, J. J. Hope, J. J. Hope, J. Javanainen, J. Javanainen, K. Góral, L. P. Pitaevskii, M. H. Anderson, M. Holland, M. J. Steel, M. K. Olsen, M. K. Olsen, M. K. Olsen, M. K. Olsen, M. K. Olsen, M. Mackie, P. D. Drummond, P. D. Drummond, P. D. Drummond, P. S. Julienne, R. Graham, R. Graham, R. J. Ballagh, R. Onofrio, R. Wynar, U. V. Poulsen   +30 more
core   +2 more sources

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, Alexey Yulin, Sebastian Klembt, Sven Höfling, María Dolores Martín, Luis Viña   +5 more
wiley   +1 more source

Bright soliton solution of a Gross–Pitaevskii equation

Applied Mathematics Letters, 2013
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Ma, Manjun, Huang, Zhe
openaire   +1 more source

Using Artificial Neural Networks to Solve the Gross–Pitaevskii Equation

Axioms
The current work proposes the incorporation of an artificial neural network to solve the Gross–Pitaevskii equation (GPE) efficiently, using a few realistic external potentials.
Ioannis G. Tsoulos, Vasileios N. Stavrou, Dimitrios Tsalikakis   +2 more
doaj   +1 more source

Berry phases for the nonlocal Gross-Pitaevskii equation with a quadratic potential

, 2005
A countable set of asymptotic space -- localized solutions is constructed by the complex germ method in the adiabatic approximation for the nonstationary Gross -- Pitaevskii equation with nonlocal nonlinearity and a quadratic potential.
A V Shapovalov, A Yu Trifonov, Bang O Krolikowski W Wyller J Rasmussen J J, Belov V V, Belov V V, Belov V V, Berry M V, Berry M V, Biswas S N, Chen Z-D Liang J-Q Shen S-Q Xie W F, Deconinck B Kutz J N, Dodonov V V, F N Litvinets, Ginibre J, Gross E P, Hannay J H, Hartree D R, Hartree D R, Hartree D R, Hayashi N, Kivshar Y S, Klyshko D N, Landau L D, Lisok A L, Lisok A L, Maslov V P, Maslov V P, Messia A, Pitaevskii L P, Pitaevskii L P, Pitaevskii L P, Shchesnovich V S, Trifonov A Yu, Vinitskii S I, Yakubovich V A, Zakharov V E, Zakharov V E   +36 more
core   +1 more source

Scattering theory for the Gross-Pitaevskii equation in three dimensions [PDF]

, 2008
We study global behavior of small solutions of the Gross-Pitaevskii equation in three dimensions. We prove that disturbances from the constant equilibrium with small, localized energy, disperse for large time, according to the linearized equation ...
S. Gustafson, K. Nakanishi, Tai-Peng Tsai   +2 more
semanticscholar   +1 more source

Vortex helices for the Gross–Pitaevskii equation

Journal de Mathématiques Pures et Appliquées, 2005
We prove the existence of travelling vortex helices to the Gross-Pitaevskii equation in R^3. These solutions have an infi nite energy, are periodic in the direction of the axis of the helix and have a degree one at infinity in the orthogonal direction.
openaire   +2 more sources

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

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, Man Ho Chan, Tiberiu Harko, Shi-Dong Liang, Chun Sing Leung   +4 more
doaj   +1 more source