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MiS Preprint
14/2005

Semiclassical Limit of the Focusing Nonlinear Schrödinger Equation under Barrier Initial Data

Spyridon Kamvissis

Abstract

We study the semiclassical behavior of the focusing nonlinear Schrödinger equation in 1+1 dimensions under discontinuous "barrier" initial 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 factorization problem.

Received:
Feb 20, 2005
Published:
Feb 20, 2005
Keywords:
semiclassical, nonlinear schrödinger equation, riemann-hilbert problems

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Preprint
2005 Repository Open Access
Spyridon Kamvissis

Semiclassical limit of the focusing nonlinear Schrödinger equation under barrier initial data