Modulated amplitude waves with nonzero phases in Bose-Einstein condensates
Chaotic Dynamics
2015-05-27 v2 Pattern Formation and Solitons
Abstract
In this paper we give a frame for application of the averaging method to Bose-Einstein condensates (BECs) and obtain an abstract result upon the dynamics of BECs. Using aver- aging method, we determine the location where the modulated amplitude waves (periodic or quasi-periodic) exist and we also study the stability and instability of modulated amplitude waves (periodic or quasi-periodic). Compared with the previous work, modulated amplitude waves studied in this paper have nontrivial phases and this makes the problem become more diffcult, since it involves some singularities.
Cite
@article{arxiv.1103.5277,
title = {Modulated amplitude waves with nonzero phases in Bose-Einstein condensates},
author = {Qihuai Liu and Dingbian Qian},
journal= {arXiv preprint arXiv:1103.5277},
year = {2015}
}
Comments
17 pages, 2 figures