Soliton dynamics for fractional Schrodinger equations
Analysis of PDEs
2013-05-24 v2
Abstract
We investigate the soliton dynamics for the fractional nonlinear Schrodinger equation by a suitable modulational inequality. In the semiclassical limit, the solution concentrates along a trajectory determined by a Newtonian equation depending of the fractional diffusion parameter.
Cite
@article{arxiv.1305.1804,
title = {Soliton dynamics for fractional Schrodinger equations},
author = {Simone Secchi and Marco Squassina},
journal= {arXiv preprint arXiv:1305.1804},
year = {2013}
}
Comments
22 pages