Dynamics of Partial Differential Equations
Volume 5 (2008)
On the KP I transonic limit of two-dimensional Gross-Pitaevskii travelling waves
Pages: 241 – 280
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).
transonic limit, Kadomtsev-Petviashvili equation, Gross-Pitaevskii equation, travelling waves
2010 Mathematics Subject Classification