Volume 19, Issue 2, June 2012, Pages 255 - 268
Construction of Modulated Amplitude Waves via Averaging in Collisionally Inhomogeneous Bose–Einstein Condensates
Authors
Qihuai Liu
School of Mathematics and Computing Science, Guilin University of Electronic Technology, No. 1, Jinji Road, 541004, Guilin, P. R. China,qhuailiu@gmail.com
Dingbian Qian
School of Mathematical Sciences, Soochow University, No. 1, Shizi Street, 215003, Suzhou, P. R. China,dbqian@suda.edu.cn
Received 27 December 2011, Accepted 21 February 2012, Available Online 4 July 2012.
- DOI
- 10.1142/S1402925112500179How to use a DOI?
- Keywords
- Modulated amplitude waves; Gross–Pitaevskii equations; collisionally inhomogeneous Bose–Einstein condensates; periodic potentials; averaging method
- Abstract
We apply the averaging method to analyze spatio-temportal structures in nonlinear Schrödinger equations and thereby study the dynamics of quasi-one-dimensional collisionally inhomogeneous Bose–Einstein condensates with the scattering length varying periodically in space and crossing zero. Infinitely many modulated amplitude waves with nontrivial phases are shown.
- Copyright
- © 2012 The Authors. Published by Atlantis Press and Taylor & Francis
- Open Access
- This is an open access article distributed under the CC BY-NC 4.0 license (http://creativecommons.org/licenses/by-nc/4.0/).
Cite this article
TY - JOUR AU - Qihuai Liu AU - Dingbian Qian PY - 2012 DA - 2012/07/04 TI - Construction of Modulated Amplitude Waves via Averaging in Collisionally Inhomogeneous Bose–Einstein Condensates JO - Journal of Nonlinear Mathematical Physics SP - 255 EP - 268 VL - 19 IS - 2 SN - 1776-0852 UR - https://doi.org/10.1142/S1402925112500179 DO - 10.1142/S1402925112500179 ID - Liu2012 ER -