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arXiv · 1705.01658

The Stability of Full Dimensional KAM tori for Nonlinear Schr\"odinger equation

Hongzi Cong·Jianjun Liu·Yunfeng Shi·Xiaoping Yuan
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Abstract

In this paper, it is proved that the full dimensional invariant tori obtained by Bourgain [J. Funct. Anal., \textbf{229} (2005), no. 1, 62-94.] is stable in a very long time for 1D nonlinear Schr\"{o}dinger equation with periodic boundary conditions.

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Hongzi Cong, Jianjun Liu, Yunfeng Shi, Xiaoping Yuan. 2017-05-03. The Stability of Full Dimensional KAM tori for Nonlinear Schr\"odinger equation. https://arxiv.org/abs/1705.01658

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