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

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

2008-06-06

arxiv.org/abs/0806.1122v2

Dynamics of Partial Differential Equations (DPDE) 5, 3 (2008) 241-280

Mathematics

Analysis of PDEs

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

Scientific paper

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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