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Birkhoff Normal Form for the Derivative Nonlinear Schrödinger Equation (2009.11236v1)

Published 23 Sep 2020 in math.AP and math.DS

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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