|
| Semiclassical limit of the focusing NLS equation
Abstract:
We study the semiclassical limit of the focusing NLS equation near the point of
gradient catastrophe of the corresponding dispersionless equations. It is
argued that the NLS slution near this points is asymptotically given by the
tritronquée solution of the Painlevé I equation. We present numerical
evidence for this conjecture.
Click this link to download a PDF file of the talk.
|