The WKB method and geometric instability for non linear Schrodinger equations on surfaces
Analysis of PDEs
2007-05-23 v2
Abstract
In this paper we are interested in constructing WKB approximations for the non linear cubic Schr\"odinger equation on a Riemannian surface which has a stable geodesic. These approximate solutions will lead to some instability properties of the equation.
Cite
@article{arxiv.math/0609805,
title = {The WKB method and geometric instability for non linear Schrodinger equations on surfaces},
author = {Laurent Thomann},
journal= {arXiv preprint arXiv:math/0609805},
year = {2007}
}
Comments
20 pages