Geometric structure of NLS evolution
Analysis of PDEs
2008-09-11 v1
Abstract
We clarify the relation between the Hamiltonian and Lagrangian approaches to nonlinear evolution equations, focusing specifically on the nonlinear Schroedinger equation. In particular, we explain the least action principle and the Noether theorem in this context.
Cite
@article{arxiv.0809.1844,
title = {Geometric structure of NLS evolution},
author = {Justin Holmer and Maciej Zworski},
journal= {arXiv preprint arXiv:0809.1844},
year = {2008}
}