Orbital stability of the black soliton to the Gross-Pitaevskii equation
Béthuel, Fabrice; Gravejat, Philippe; Saut, Jean-Claude; Smets, Didier (2008), Orbital stability of the black soliton to the Gross-Pitaevskii equation, Indiana University Mathematics Journal, 57, 6, p. 2611-2642. http://dx.doi.org/10.1512/iumj.2008.57.3632
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Article accepté pour publication ou publiéExternal document link
http://hal.archives-ouvertes.fr/hal-00270348/en/Date
2008Journal name
Indiana University Mathematics JournalVolume
57Number
6Pages
2611-2642
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Show full item recordAbstract (EN)
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.Subjects / Keywords
Gross-Pitaevskii equation; kink solution; black soliton; orbital stabilityRelated items
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