Results 201 to 210 of about 33,314 (234)

Controllable nonautonomous localized waves and dynamics for a quasi-1D Gross-Pitaevskii equation in Bose-Einstein condensations with attractive interaction.

Chaos
This paper investigates dynamical behaviors and controllability of some nonautonomous localized waves based on the Gross-Pitaevskii equation with attractive interatomic interactions.
Haotian Wang, Hujiang Yang, Ye Tian, Wenjun Liu   +3 more
semanticscholar   +1 more source

Operator-compensation methods with mass and energy conservation for solving the Gross-Pitaevskii equation

, 2020
In this work, operator-compensation based high order methods are presented to solve the Gross-Pitaevskii equation modeling Bose-Einstein condensation (BEC).
Xiang-Gui Li, Yongyong Cai, Pengde Wang
semanticscholar   +1 more source

Analytical matter wave solutions of a (2+1)-dimensional partially nonlocal distributed-coefficient Gross–Pitaevskii equation with a linear potential

, 2020
A (2+1)-dimensional partially nonlocal distributed-coefficient Gross–Pitaevskii equation with a linear potential and nonlinearity localized in x direction and non-localized in y-direction is considered, and a mapping relationship between a distributed ...
Qing Liu
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
openaire   +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.
Manjun Ma, Zhe Huang 0007
exaly   +2 more sources

The multisymplectic numerical method for Gross–Pitaevskii equation

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

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

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

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