A KAM Theorem for Two Dimensional Completely Resonant Reversible Schrodinger Systems

被引：5

作者：

Geng, Jiansheng ^{[1
]}

Lou, Zhaowei ^{[2
]}

Sun, Yingnan ^{[1
]}

机构：

[1] Nanjing Univ, Dept Math, Nanjing 210093, Peoples R China

[2] Nanjing Univ Aeronaut & Astronaut, Coll Sci, Nanjing 211106, Peoples R China

来源：

JOURNAL OF DYNAMICS AND DIFFERENTIAL EQUATIONS | 2023年 / 35卷 / 02期

基金：

中国国家自然科学基金;

关键词：

KAM; NLS; Quasi-periodic solution; Reversible vector field; Birkhoff normal form;

D O I：

10.1007/s10884-021-09941-z

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we prove an abstract KAM (Kolmogorov-Arnold-Moser) theorem for infinite dimensional reversible Schrodinger systems. Using this KAM theorem together with partial Birkhoff normal form method, we obtain the existence of quasi-periodic solutions for a class of completely resonant reversible coupled nonlinear Schrodinger systems on two dimensional torus.

引用

页码：1611 / 1641

页数：31

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