论文标题

Birkhoff的衍生非线性schrödinger方程的正常形式

Birkhoff Normal Form for the Derivative Nonlinear Schrödinger Equation

论文作者

Liu, Jianjun

论文摘要

本文与具有周期性边界条件的衍生性非线性Schrödinger方程有关。我们获得了第六名的完整Birkhoff正常形式。作为一种应用,证明了小幅度解决方案的长期稳定性。

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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