Vortex interaction dynamics in trapped Bose-Einstein condensates
type: Item
instance of: scholarly article
title: Vortex interaction dynamics in trapped Bose-Einstein condensates
zbMATH Open document ID: 1238.34098
author: Pedro J. Torres
author: R. Carretero-González
author: S. Middelkamp
author: P. Schmelcher
author: D. J. Frantzeskakis
author: Panayotis G. Kevrekidis
published in: Communications on Pure and Applied Analysis
publication date: 2011-12-19T00:00:00Z
review text: The mathematical model considered in this paper is as follows \[ \displaylines{\displaystyle{\dot{x}_i = -c(t)S_iy_i - b\sum_{k\neq i} S_k{{y_i-y_k}\over{r_{ik}^{\alpha}}}}\text{,}\cr \displaystyle{\dot{y}_i = +c(t)S_ix_i + b\sum_{k\neq i} S_k{{x_i-x_k}\over{r_{ik}^{\alpha}}}}\;,\;i=1,\ldots n,} \] with \(c(t)>0\), \(b>0\), \(\displaystyle{r_{ik} = \sqrt{(x_i-x_k)^2+(y_i-y_k)^2}}\) and \(\alpha>0\) is some parameter that does not affect the basic results. The case \(n=2\) is studied in detail. Exact (closed form) solutions are presented. Also qualitative studies are performed using energy functions and techniques from the analysis of periodic solutions.
reviewed by: Vladimir Răsvan
Mathematics Subject Classification ID: 34C60
Mathematics Subject Classification ID: 34C15
Mathematics Subject Classification ID: 34D20
Mathematics Subject Classification ID: 82B26
zbMATH DE Number: 5989680
zbMATH Keywords: Bose-Einstein condensates
zbMATH Keywords: vortices
zbMATH Keywords: vortex dipoles
MaRDI profile type: Publication
full work available at URL: cpaa.2011.10.1589
OpenAlex ID: W2315267540
DOI: 10.3934/CPAA.2011.10.1589
description: scientific article; zbMATH DE number 5989680