18 citations · 18 across the 4 of their papers we have counts for
5 papers
Stable NLS solitons in a cubic-quintic medium with a delta-function potential
François Genoud, Boris A. Malomed, Rada M. Weishäupl
We study the one-dimensional nonlinear Schrödinger equation with the cubic-quintic combination of attractive and repulsive nonlinearities, and a trapping potential represented by a…
On the Gross-Pitaevskii equation with pumping and decay: stationary states and their stability
Jesús Sierra, Aslan Kasimov, Peter Markowich +1
We investigate the behavior of solutions of the complex Gross-Pitaevskii equation, a model that describes the dynamics of pumped decaying Bose-Einstein condensates. The stationary…
Asymptotic behavior of nonlinear Schroedinger Systems with Linear Coupling
Paolo Antonelli, Rada Maria Weishaeupl
A system of two coupled nonlinear Schroedinger equations is treated. In addition, a linear coupling which models an external driven field described by the Rabi frequency is conside…
Strongly separated pairs of core electrons in computed ground states of small molecules
Alex D. Gottlieb, Rada M. Weishaeupl
We have performed full configuration interaction computations of the ground states of the molecules Be, BeH_2, Li, LiH, B, and BH and verified that the core electrons constitute "s…
Convergence rate of dimension reduction in Bose-Einstein condensates
Weizhu Bao, Yunyi Ge, Dieter Jaksch +2
In this paper, we study dimension reduction of the three-dimensional (3D) Gross-Pitaevskii equation (GPE) modelling Bose-Einstein condensation under different limiting interaction…