Stability of the solutions of the Gross-Pitaevskii equation

Details Stability of the solutions of the Gross-Pitaevskii equation Stability of the solutions of the Gross-Pitaevskii equation

2005-07-19

arxiv.org/abs/cond-mat/0507455v1

Phys. Rev. A 72 (2005) 053617

Physics

Condensed Matter

Other Condensed Matter

7 pages, 1 figure

Scientific paper

10.1103/PhysRevA.72.053617

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.

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