KAM theorems for nonlinear higher dimensional Schrödinger equation systems in three different ways

被引：0

作者：

Chang, Ningning ^{[1
]}

Sun, Yingnan ^{[2
]}

机构：

[1] Shijiazhuang Tiedao Univ, Dept Math & Phys, Shijiazhuang 050043, Peoples R China

[2] Nanjing Univ Aeronaut & Astronaut, Sch Math, Nanjing 211106, Peoples R China

来源：

COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION | 2025年 / 150卷

关键词：

KAM theory; Hamiltonian systems; Schr & ouml; dinger equation system; QUASI-PERIODIC SOLUTIONS; HAMILTONIAN PERTURBATIONS; SCHRODINGER-EQUATION; WAVE-EQUATIONS; NLS;

D O I：

10.1016/j.cnsns.2025.108981

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We prove an abstract KAM (Kolmogorov-Arnold-Moser) theorem constructed by Zhou (2017) in different ways and apply it to the nonlinear Schr & ouml;dinger equation systems with real Fourier Multiplier. We prove the existence of a class of Whitney smooth small amplitude quasi-periodic solutions for more types of equation systems.

引用

页数：17

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