Quasi-periodic solutions for Schrodinger equation with derivative nonlinearity (|u|2pu)x

被引：4
|
作者：
Shi, Yanling [1 ]
Lu, Xuezhu [2 ]
Xu, Junxiang [2 ]
Xu, Xindong [2 ]
机构：
[1] Yancheng Inst Technol, Dept Basic Sci, Yancheng 224051, Peoples R China
[2] Southeast Univ, Dept Math, Nanjing 210096, Jiangsu, Peoples R China
来源：
DYNAMICAL SYSTEMS-AN INTERNATIONAL JOURNAL | 2015年 / 30卷 / 02期
关键词：
37N10; 37K55; 35Q35; normal form; quasi-periodic solution; Schrodinger equation; KAM theory; PARTIAL-DIFFERENTIAL-EQUATIONS; KAM THEOREM; HAMILTONIAN-SYSTEMS; WAVE-EQUATION; PERTURBATIONS; TORI;
D O I：
10.1080/14689367.2014.993924
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, one-dimensional derivative Schrodinger equation,with periodic boundary condition is considered. It is proved that the above equation admits a Whitney smooth family of small amplitude, quasi-periodic solutions with two-dimensional Diophantine frequencies. The proof is based on infinite-dimensional Kolmogorov-Arnold-Moser (KAM) theory, partial Birkhoff normalization and scaling skills.
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页码：158 / 188
页数：31
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