On the non-existence of local Birkhoff coordinates for the focusing NLS equation
Analysis of PDEs
2018-09-28 v2
Abstract
We prove that there exist potentials so that near them the focusing non-linear Schr\"odinger equation does not admit local Birkhoff coordinates. The proof is based on the construction of a local normal form of the linearization of the equation at such potentials.
Keywords
Cite
@article{arxiv.1807.02455,
title = {On the non-existence of local Birkhoff coordinates for the focusing NLS equation},
author = {T. Kappeler and P. Topalov},
journal= {arXiv preprint arXiv:1807.02455},
year = {2018}
}