Theory of Multidimensional Solitons
Other Condensed Matter
2010-06-01 v1 Mesoscale and Nanoscale Physics
Pattern Formation and Solitons
Abstract
We review a number of topics germane to higher-dimensional solitons in Bose-Einstein condensates. For dark solitons, we discuss dark band and planar solitons; ring dark solitons and spherical shell solitons; solitary waves in restricted geometries; vortex rings and rarefaction pulses; and multi-component Bose-Einstein condensates. For bright solitons, we discuss instability, stability, and metastability; bright soliton engineering, including pulsed atom lasers; solitons in a thermal bath; soliton-soliton interactions; and bright ring solitons and quantum vortices. A thorough reference list is included.
Cite
@article{arxiv.0705.1139,
title = {Theory of Multidimensional Solitons},
author = {L. D. Carr and Joachim Brand},
journal= {arXiv preprint arXiv:0705.1139},
year = {2010}
}