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arXiv · 2009.11236

Birkhoff Normal Form for the Derivative Nonlinear Schr\"{o}dinger Equation

Jianjun Liu
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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.

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Jianjun Liu. 2020-09-23. Birkhoff Normal Form for the Derivative Nonlinear Schr\"{o}dinger Equation. https://arxiv.org/abs/2009.11236

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