Periodic oscillations of dark solitons in parabolic potentials
| dc.creator | Pelinovsky, D. E. | |
| dc.creator | Kevrekidis, P. G. | |
| dc.date | 2007-05-08 | |
| dc.date.accessioned | 2026-07-07T07:59:57Z | |
| dc.date.available | 2026-07-07T07:59:57Z | |
| dc.description | We reformulate the Gross-Pitaevskii equation with an external parabolic potential as a discrete dynamical system, by using the basis of Hermite functions. We consider small amplitude stationary solutions with a single node, called dark solitons, and examine their existence and linear stability. Furthermore, we prove the persistence of a periodic motion in a neighborhood of such solutions. Our results are corroborated by numerical computations elucidating the existence, linear stability and dynamics of the relevant solutions. | |
| dc.description | 20 pages, 3 figures | |
| dc.identifier | https://arxiv.org/abs/0705.1016 | |
| dc.identifier | http://arxiv.org/abs/0705.1016 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/128561 | |
| dc.subject | Other Condensed Matter | |
| dc.title | Periodic oscillations of dark solitons in parabolic potentials | |
| dc.type | text |