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Asymptotic stability of the black soliton for the Gross–Pitaevskii equation
Author(s) -
Gravejat Philippe,
Smets Didier
Publication year - 2015
Publication title -
proceedings of the london mathematical society
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.899
H-Index - 65
eISSN - 1460-244X
pISSN - 0024-6115
DOI - 10.1112/plms/pdv025
Subject(s) - soliton , stability (learning theory) , gross–pitaevskii equation , mathematical physics , physics , mathematics , quantum mechanics , bose–einstein condensate , computer science , nonlinear system , machine learning
We introduce a new framework for the analysis of the stability of solitons for the one‐dimensional Gross–Pitaevskii equation. In particular, we establish the asymptotic stability of the black soliton with zero speed.