Results 211 to 220 of about 3,107,805 (229)

Stability of optical knots in atmospheric turbulence. [PDF]

Nat Commun
Pires DG, Tsvetkov D, Barati Sedeh H, Chandra N, Litchinitser NM.   +4 more
europepmc   +1 more source

Traveling waves of the nonlocal Gross-Pitaevskii : equation analysis and simulations

, 2019
Pierre Mennuni
openalex   +1 more source

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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

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

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

Scattering for the 3D Gross–Pitaevskii Equation

Communications in Mathematical Physics, 2016
We study the Cauchy problem for the 3D Gross–Pitaevskii equation. The global well-posedness in the natural energy space was proved by Gérard (Ann. Inst. H. Poincaré Anal. Non Linéaire 23(5):765–779, 2006). In this paper we prove scattering for small data
Zihua Guo, Z. Hani, K. Nakanishi
semanticscholar   +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

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