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arXiv · 0705.1139

Theory of Multidimensional Solitons

L. D. Carr·Joachim Brand
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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.

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L. D. Carr, Joachim Brand. 2007-05-08. Theory of Multidimensional Solitons. https://doi.org/10.1007/978-3-540-73591-5_7

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