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arXiv · 0806.1122

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

Fabrice Béthuel·Philippe Gravejat·Jean-Claude Saut
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Abstract

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).

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Fabrice Béthuel, Philippe Gravejat, Jean-Claude Saut. 2008-10-04. On the KP I transonic limit of two-dimensional Gross-Pitaevskii travelling waves. https://arxiv.org/abs/0806.1122

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