Physics – Mathematical Physics
Scientific paper
2003-09-11
Physics
Mathematical Physics
41 pages, 2 figures
Scientific paper
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.
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