On the blow-up threshold for weakly coupled nonlinear Schroedinger equations
Analysis of PDEs
2016-03-24 v1 Mathematical Physics
math.MP
Abstract
We study the Cauchy problem for a system of two coupled nonlinear focusing Schroedinger equations arising in nonlinear optics. We discuss when the solutions are global in time or blow-up in finite time. Some results, in dependence of the data of the problem, are proved; in particular we give a bound, depending on the coupling parameter, for the blow-up threshold.
Cite
@article{arxiv.0705.0491,
title = {On the blow-up threshold for weakly coupled nonlinear Schroedinger equations},
author = {Luca Fanelli and Eugenio Montefusco},
journal= {arXiv preprint arXiv:0705.0491},
year = {2016}
}