Smooth parametric dependence of asymptotics of the semiclassical focusing NLS
Analysis of PDEs
2016-01-20 v2 Mathematical Physics
math.MP
Abstract
We consider the one dimensional focusing (cubic) Nonlinear Schr\"odinger equation (NLS) in the semiclassical limit with exponentially decaying complex-valued initial data, whose phase is multiplied by a real parameter. We prove smooth dependence of the asymptotic solution on the parameter. Numerical results supporting our estimates of important quantities are presented.
Keywords
Cite
@article{arxiv.1211.7111,
title = {Smooth parametric dependence of asymptotics of the semiclassical focusing NLS},
author = {Sergey Belov and Stephanos Venakides},
journal= {arXiv preprint arXiv:1211.7111},
year = {2016}
}
Comments
28 pages, 4 figures