Speaker: Robert Jenkins (UCF, Mathematics Dept) Title: Talanov self-focusing in the focusing nonlinear Schrödinger hierarchy. Abstract: I’ll describe some recent work in which we investigate the small dispersion limit behavior of parabolic pulse initial data for the focusing NLS equation. Talanov showed in the 1960s that such initial data exhibit singular self-focusing with finite-time blow up of their amplitude. Suleimanov recently …
Mathematics Event