Birkhoff Normal Form for the Derivative Nonlinear Schrödinger Equation

2020/09/23 by Liu, Jianjun
#Analysis of PDEs (math.AP) #Dynamical Systems (math.DS) #FOS: Mathematics

paper · doi:10.48550/arxiv.2009.11236

Abstract

This paper is concerned with the derivative nonlinear Schrödinger 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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