Stability analysis of the D-dimensional nonlinear Schroedinger equation with trap and two- and three-body interactions
Soft Condensed Matter
2009-10-31 v1
Abstract
Considering the static solutions of the D-dimensional nonlinear Schroedinger equation with trap and attractive two-body interactions, the existence of stable solutions is limited to a maximum critical number of particles, when D is greater or equal 2. In case D=2, we compare the variational approach with the exact numerical calculations. We show that, the addition of a positive three-body interaction allows stable solutions beyond the critical number. In this case, we also introduce a dynamical analysis of the conditions for the collapse.
Keywords
Cite
@article{arxiv.cond-mat/0002042,
title = {Stability analysis of the D-dimensional nonlinear Schroedinger equation with trap and two- and three-body interactions},
author = {A. Gammal and T. Frederico and Lauro Tomio and F. Kh. Abdullaev},
journal= {arXiv preprint arXiv:cond-mat/0002042},
year = {2009}
}
Comments
6 pages, 7 figures