Birkhoff Normal Form for the Derivative Nonlinear Schr\"{o}dinger Equation
Analysis of PDEs
2020-09-24 v1 Dynamical Systems
Abstract
This paper is concerned with the derivative nonlinear Schr\"{o}dinger equation with periodic boundary conditions. We obtain complete Birkhoff normal form of order six. As an application, the long time stability for solutions of small amplitude is proved.
Cite
@article{arxiv.2009.11236,
title = {Birkhoff Normal Form for the Derivative Nonlinear Schr\"{o}dinger Equation},
author = {Jianjun Liu},
journal= {arXiv preprint arXiv:2009.11236},
year = {2020}
}