Decay estimates and smoothness for solutions of the dispersion managed non-linear Schr\"odinger equation
Mathematical Physics
2008-04-24 v1 math.MP
Abstract
We study the decay and smoothness of solutions of the dispersion managed non-linear Schr\"odinger equation in the case of zero residual dispersion. Using new x-space versions of bilinear Strichartz estimates, we show that the solutions are not only smooth, but also fast decaying.
Keywords
Cite
@article{arxiv.0804.3778,
title = {Decay estimates and smoothness for solutions of the dispersion managed non-linear Schr\"odinger equation},
author = {Dirk Hundertmark and Young-Ran Lee},
journal= {arXiv preprint arXiv:0804.3778},
year = {2008}
}
Comments
24 pages