Semiclassical Focusing NLS with Barrier Data
arXiv:math-ph/0309026
Abstract
We study the semiclassical behavior of the focusing nonlinear Schroedinger equation in 1+1-dimensions under discontinuous "barrier" data and we describe the violent oscillations arising in terms of theta functions. The construction of proofs relies on the analysis of the associated Riemann-Hilbert problem.
41 pages, 2 figures