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Phys. Rev. A 72, 053617 (2005) [7 pages]

Stability of the solutions of the Gross-Pitaevskii equation

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A. D. Jackson1, G. M. Kavoulakis2, and E. Lundh3
1Niels Bohr Institute, Blegdamsvej 17, DK-2100, Copenhagen Ø, Denmark
2Mathematical Physics, Lund Institute of Technology, P. O. Box 118, SE-22100 Lund, Sweden
3Department of Physics, KTH, SE-10691, Stockholm, Sweden

Received 19 July 2005; published 17 November 2005

We examine the static and dynamic stability of the solutions of the Gross-Pitaevskii equation and demonstrate the intimate connection between them. All salient features related to dynamic stability are reflected systematically in static properties. We find, for example, the obvious result that static stability always implies dynamic stability and present a simple explanation of the fact that dynamic stability can exist even in the presence of static instability.


©2005 The American Physical Society

URL: http://link.aps.org/doi/10.1103/PhysRevA.72.053617
DOI: 10.1103/PhysRevA.72.053617
PACS: 03.75.Kk, 67.40.Vs

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