Semiclassical Focusing NLS with Barrier Data
数学物理
2009-07-17 v2 math.MP
摘要
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.
引用
@article{arxiv.math-ph/0309026,
title = {Semiclassical Focusing NLS with Barrier Data},
author = {Spyridon Kamvissis},
journal= {arXiv preprint arXiv:math-ph/0309026},
year = {2009}
}
备注
41 pages, 2 figures