Results 141 to 150 of about 32,263 (260)

Spatially localized trains of soliton in attractive Bose-Einstein condensates with periodic potential

Partial Differential Equations in Applied Mathematics
We investigate the spatial profiles of periodic localized modes in attractive Bose-Einstein condensates, by solving the mean-field Gross-Pitaevskii equation in the presence of elliptic-type periodic potential.
Nkeh Oma Nfor, Akoni Brikly Njinabo, Francois Marie Moukam Kakmeni   +2 more
doaj   +1 more source

Exact soliton solutions of the generalized Gross-Pitaevskii equation based on expansion method

AIP Advances, 2014
We give a more generalized treatment of the 1D generalized Gross-Pitaevskii equation (GGPE) with variable term coefficients. External harmonic trapping potential is fully considered and the nonlinear interaction term is of arbitrary polytropic index of ...
Ying Wang, Yu Zhou
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A Conservative Scheme with Optimal Error Estimates for a Multidimensional Space–Fractional Gross–Pitaevskii Equation

International Journal of Applied Mathematics and Computer Science, 2019
The present work departs from an extended form of the classical multi-dimensional Gross–Pitaevskii equation, which considers fractional derivatives of the Riesz type in space, a generalized potential function and angular momentum rotation.
Hendy Ahmed S., Macías-Díaz Jorge E.
doaj   +1 more source

First order asymptotics for the travelling waves in the Gross-Pitaevskii equation [PDF]

, 2006
Philippe Gravejat
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Dynamics of Bose-Einstein Condensates Subject to the Pöschl-Teller Potential through Numerical and Variational Solutions of the Gross-Pitaevskii Equation. [PDF]

Materials (Basel), 2020
Pereira LC, Nascimento VAD.
europepmc   +1 more source

Superfluid Mutual-friction Coefficients from Vortex Dynamics in the Two-dimensional Galerkin-truncated Gross-Pitaevskii Equation [PDF]

, 2014
Vishwanath Shukla, Marc Brächet, Rahul Pandit   +2 more
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The stochastic Gross-Pitaevskii equation [PDF]

Journal of Physics B: Atomic, Molecular and Optical Physics, 2002
C W Gardiner, J R Anglin, T I A Fudge
openaire   +1 more source

Singularity Formation and Collapse in the Attractive Gross-Pitaevskii Equation [PDF]

, 2001
A. V. Rybin, G. G. Varzugin, Jaakko V. I. Timonen   +2 more
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Soliton Solutions and Collisions for the Multicomponent Gross–Pitaevskii Equation in Spinor Bose–Einstein Condensates [PDF]

, 2020
Ming Wang, Guoliang He
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Localized modes in the Gross-Pitaevskii equation with a parabolic trapping potential and a nonlinear lattice pseudopotential [PDF]

, 2018
G. L. Alfimov, L.A. Gegel, Maxim Lebedev, Boris A. Malomed, Dmitry A. Zezyulin   +4 more
openalex   +1 more source