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math.AP2012
Asymptotic stability in the energy space for dark solitons of the Gross-Pitaevskii equation
Fabrice Béthuel, Philippe Gravejat, Didier Smets
We pursue our work on the dynamical stability of dark solitons for the one-dimensional Gross-Pitaevskii equation. In this paper, we prove their asymptotic stability under small per…
math.AP2012
Stability in the energy space for chains of solitons of the one-dimensional Gross-Pitaevskii equation
Fabrice Béthuel, Philippe Gravejat, Didier Smets
We establish the stability in the energy space for sums of solitons of the one-dimensional Gross-Pitaevskii equation when their speeds are mutually distinct and distinct from zero,…