On the KP I transonic limit of two-dimensional Gross-Pitaevskii travelling waves

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Date
2008
Link to item file
http://hal.archives-ouvertes.fr/hal-00285751/en/
Dewey
Analyse
Sujet
Kadomtsev-Petviashvili equation; travelling wave; Gross-Pitaevskii equation; Equations différentielles
Journal issue
Dynamics of Partial Differential Equations
Volume
5
Number
3
Publication date
09-2008
Article pages
241-280
Publisher
International Press
DOI
http://dx.doi.org/10.4310/DPDE.2008.v5.n3.a3
URI
https://basepub.dauphine.fr/handle/123456789/559
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Author
Saut, Jean-Claude
Gravejat, Philippe
Béthuel, Fabrice
Type
Article accepté pour publication ou publié
Abstract (EN)
We provide a rigorous mathematical derivation of the convergence in the long-wave transonic limit of the minimizing travelling waves for the two-dimensional Gross-Pitaevskii equation towards ground states for the Kadomtsev-Petviashvili equation (KP I).