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Asymptotics for the travelling waves in the Gross-Pitaevskii equation

Gravejat, Philippe (2005), Asymptotics for the travelling waves in the Gross-Pitaevskii equation, Asymptotic Analysis, 45, 3-4, p. 227-299

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Type
Article accepté pour publication ou publié
Date
2005
Journal name
Asymptotic Analysis
Volume
45
Number
3-4
Publisher
IOS Press
Pages
227-299
Metadata
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Author(s)
Gravejat, Philippe
Abstract (EN)
We investigate the asymptotic behaviour of the subsonic travelling waves of finite energy in the Gross-Pitaevskii equation in dimension larger than two. In particular, we give their first-order asymptotics in the case they are axisymmetric, and link it to their energy and momentum.
Subjects / Keywords
nonlinear Schrödinger equation; travelling waves; asymptotic behaviour