Semiclassical Focusing NLS with Barrier Data

2003/09/11 by Spyridon Kamvissis, Kamvissis, Spyridon
Mathematics · Physics and Astronomy · #FOS: Physical sciences #Mathematical Physics (math-ph) #math-ph #math.MP

paper · pdf · doi:10.48550/arxiv.math-ph/0309026

41 pages, 2 figures

arxiv created 2009/07/17 · arxiv updated 2009/12/01

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.

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