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

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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).
Final version published in Dynamics of Partial Differential Equations, 5, 3, 2008, p. 241-280

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Analysis of PDEs, 35Q40, 35Q53, 35Q55

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http://salesiana.dossiersoluciones.com/handle/123456789/170593

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/0806.1122
 http://arxiv.org/abs/0806.1122
 Dynamics of Partial Differential Equations (DPDE) 5, 3 (2008) 241-280

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arXiv