On the Korteweg-de Vries long-wave approximation of the Gross-Pitaevskii equation II
In this paper, we proceed along our analysis of the Korteweg-de Vries approximation of the Gross-Pitaevskii equation initiated in a previous paper.
Béthuel, Fabrice +3 more
core +1 more source
We consider the time-dependent Gross-Pitaevskii equation describing the dynamics of rotating Bose-Einstein condensates and its discretization with the finite element method.
Henning, Patrick +8 more
core +1 more source
The Partition Function of the Bose-Einstein Condensation in Parabolic Trap
We have discussed the partition function of the Bose-Einstein condensation in parabolic trap associated to the one-dimensional Gross-Pitaevskii equation. The partition function itself is constructed by considering all the energy levels of the macroscopic
Sinta Latifa, Teguh Budi Prayitno
doaj
Derivation of the Time Dependent Gross-Pitaevskii Equation in Two Dimensions. [PDF]
Jeblick M, Leopold N, Pickl P.
europepmc +1 more source
Orbital stability of traveling waves for the one-dimensional Gross–Pitaevskii equation
In this paper, we prove the nonlinear orbital stability of the stationary traveling wave of the one-dimensional Gross–Pitaevskii equation by using Zakharov–Shabat's inverse scattering ...
Patrick Gérard +3 more
core +1 more source
Tunable band-gap structure and gap solitons in the generalized Gross-Pitaevskii equation with a periodic potential. [PDF]
Huang C, Dong L.
europepmc +1 more source
Nonexistence of traveling waves for a nonlocal Gross-Pitaevskii equation
International audienceWe consider a Gross-Pitaevskii equation with a nonlocal interaction potential. We provide sufficient conditions on the potential such that there exists a range of speeds in which nontrivial traveling waves do not ...
de Laire, André
core
Replication Data for: "Numerical simulation of the Gross-Pitaevskii equation via vortex tracking"
Data for reproducibility of the numerical simulations of the research paper "Numerical simulation of the Gross-Pitaevskii equation via vortex tracking".
Carvalho Corso, Thiago +3 more
core +1 more source
Non-autonomous multi-rogue waves for spin-1 coupled nonlinear Gross-Pitaevskii equation and management by external potentials. [PDF]
Li L, Yu F.
europepmc +1 more source
Macroscopic quantum tunnelling of a Bose-Einstein condensate in a Cubic-Plus-Quadratic Well
We study the macroscopic quantum tunnelling of an interacting Bose-Einstein condensate in a cubic-plus-quadratic well that was approximately realized in recent experiment.
Rui-Bin Liu +2 more
doaj +1 more source

