On the KP I transonic limit of two-dimensional Gross-Pitaevskii travelling waves
arXiv:0806.1122
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).
Final version published in Dynamics of Partial Differential Equations, 5, 3, 2008, p. 241-280