Normal form theory for the NLS equation
Analysis of PDEs
2009-07-24 v1
Abstract
We consider the nonlinear Schrodinger equation with a cubic nonlinearity on the circle, which is known to represent an integrable Hamiltonian system. We construct a global coordinate systems, which puts this Hamiltonian into standard normal form, so that it depends only on the actions of the system.
Cite
@article{arxiv.0907.3938,
title = {Normal form theory for the NLS equation},
author = {Benoît Grébert and Thomas Kappeler and Jürgen Pöschel},
journal= {arXiv preprint arXiv:0907.3938},
year = {2009}
}
Comments
March 2009 version