Abstract
A three-wave resonant interaction of collective modes and related soliton excitations in a disk-shaped Bose-Einstein condensate are investigated. The phase-matching conditions for the resonant interaction are satisfied by suitably choosing the wavevectors and the frequencies of the collective modes. A set of nonlinearly coupled envelope equations describing the spatio-temporal evolution of the three-wave resonant interaction are derived by using a method of multiple-scales, and some explicit (2+1)-dimensional three-wave soliton solutions are also presented and discussed.
| Original language | English |
|---|---|
| Pages (from-to) | 3563-3574 |
| Number of pages | 12 |
| Journal | International Journal of Modern Physics B |
| Volume | 19 |
| Issue number | 23 |
| DOIs | |
| Publication status | Published - 20 Sept 2005 |
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User-Defined Keywords
- Bose-Einstein condensation
- Solitons
- Three-wave interaction
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