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arXiv:0804.0746 [math.AP]AbstractReferencesReviewsResources

Orbital stability of the black soliton to the Gross-Pitaevskii equation

Fabrice Béthuel, Philippe Gravejat, Jean-Claude Saut, Didier Smets

Published 2008-04-04, updated 2009-02-09Version 2

We establish the orbital stability of the black soliton, or kink solution, $\v_0(x) = \th \big(\frac{x}{\sqrt{2}} \big)$, to the one-dimensional Gross-Pitaevskii equation, with respect to perturbations in the energy space.

Comments: Final version published in Indiana University Mathematics Journal
Journal: Indiana University Mathematics Journal 57, 6 (2008) 2611-2642
Categories: math.AP
Subjects: 35B35, 35Q40, 35Q55
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