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 publiéExternal document link
http://hal.archives-ouvertes.fr/hal-00285751/en/Date
2008Journal name
Dynamics of Partial Differential EquationsVolume
5Number
3Publisher
International Press
Pages
241-280
Publication identifier
Metadata
Show full item recordAbstract (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 différentiellesRelated items
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