Results 241 to 250 of about 32,263 (260)

Some qualitative studies of the focusing inhomogeneous Gross–Pitaevskii equation

, 2019
We study the Cauchy problem for an inhomogeneous Gross–Pitaevskii equation. We first derive a sharp threshold for global existence and blowup of the solution.
Alex H. Ardila, Van Duong Dinh
semanticscholar   +1 more source

Dynamics of nearly parallel vortex filaments for the Gross–Pitaevskii equation

Calculus of Variations and Partial Differential Equations, 2020
Klein et al. (J Fluid Mech 288:201–248, 1995) have formally derived a simplified asymptotic motion law for the evolution of nearly parallel vortex filaments in the context of the three dimensional Euler equation for incompressible fluids.
R. Jerrard, D. Smets
semanticscholar   +1 more source

Conserved Gross–Pitaevskii equations with a parabolic potential

Communications in Theoretical Physics, 2022
Abstract An integrable Gross–Pitaevskii equation with a parabolic potential is presented where particle density ∣u∣2 is conserved. We also present an integrable vector Gross–Pitaevskii system with a parabolic potential, where the total particle density
Liu, Shi-min, Zhang, Da-jun
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Higher-dimensional soliton structures of a variable-coefficient Gross–Pitaevskii equation with the partially nonlocal nonlinearity under a harmonic potential

Nonlinear dynamics, 2022
Jing Yang, Yu Zhu, Wei Qin, Shao-hui Wang, C. Dai, Jitao Li   +5 more
semanticscholar   +1 more source

Localized waves and mixed interaction solutions with dynamical analysis to the Gross–Pitaevskii equation in the Bose–Einstein condensate

Nonlinear dynamics, 2021
Haotian Wang, Qin Zhou, A. Biswas, Wenjun Liu   +3 more
semanticscholar   +1 more source

The Gross–Pitaevskii (GP) Equation

Abstract In the next few chapters we cover some further techniques based on NLS-type equations by focusing on a particularly attractive application in atomic physics: Bose-Einstein condensates (BECs). The mean-field dynamics of BECs can be modeled by the Gross-Pitaevskii (GP) equation which is a generalization of the NLS equation that ...
R. Carretero-González, D.J. Frantzeskakis, P.G. Kevrekidis   +2 more
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Long-Time Asymptotics for the Spin-1 Gross–Pitaevskii Equation

, 2021
X. Geng, Kedong Wang, Mingming Chen
semanticscholar   +1 more source

Comparative Analysis of Numerical with Optical Soliton Solutions Ofstochastic Gross-Pitaevskii Equation in Dispersive Media

Social Science Research Network, 2022
M. Baber, N. Ahmed, M. Yasin, M. Iqbal, A. Akgül, M. Riaz, M. Rafiq, A. Raza   +7 more
semanticscholar   +1 more source

Rotons and the gross-pitaevskii equation

Physics Letters A, 1980
Abstract With a plausible assumption for ψ( r ), a bubble-solution of the GP-equation in the three-dimensional case is obtained. The relation between a roton and a “bubble” is examined. The roton spectrum is derived in order to test the suggested theory of condensate wavefunctions.
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The multisymplectic numerical method for Gross–Pitaevskii equation

Computer Physics Communications, 2008
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Tian, Yimin, Qin, Mengzhao, Zhang, Yongming, Ma, Tao   +3 more
openaire   +1 more source