Hydrodynamic approach to constructing solutions of Hydrodynamic approach to constructing solutions of nonlinear Schr\"odinger equation in the critical case
Analysis of PDEs
2007-05-23 v1 Mathematical Physics
math.MP
Abstract
Proceeding from the hydrodynamic approach, we construct exact solutions to nonlinear Schr\"odinger equation with special properties. The solutions describe collapse, in finite time, and scattering, over infinite time, of wave packets. They generalize known blow-up solutions based on the "ground state."
Keywords
Cite
@article{arxiv.math/0412088,
title = {Hydrodynamic approach to constructing solutions of Hydrodynamic approach to constructing solutions of nonlinear Schr\"odinger equation in the critical case},
author = {Olga S. Rozanova},
journal= {arXiv preprint arXiv:math/0412088},
year = {2007}
}
Comments
11 pages. Proc.Amer.Math.Soc.(in press)