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

Saut, Jean-Claude; Gravejat, Philippe; Béthuel, Fabrice (2008), On the KP I transonic limit of two-dimensional Gross-Pitaevskii travelling waves, Dynamics of Partial Differential Equations, 5, 3, p. 241-280. http://dx.doi.org/10.4310/DPDE.2008.v5.n3.a3

Type
Article accepté pour publication ou publié
External document link
http://hal.archives-ouvertes.fr/hal-00285751/en/
Date
2008
Journal name
Dynamics of Partial Differential Equations
Volume
5
Number
3
Publisher
International Press
Pages
241-280
Publication identifier
Metadata
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Author(s)
Saut, Jean-Claude
Gravejat, Philippe
Béthuel, Fabrice
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).
Subjects / Keywords
Kadomtsev-Petviashvili equation; travelling wave; Gross-Pitaevskii equation; Equations différentielles