Semiclassical Focusing NLS with Barrier Data
classification
🧮 math-ph
math.MP
keywords
barrierdatafocusingsemiclassicalanalysisarisingassociatedbehavior
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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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