高维非线性薛定谔方程平面波周围的准周期解

IF 2.4 2区数学 Q1 MATHEMATICS

Journal of Differential Equations Pub Date : 2025-03-17 DOI:10.1016/j.jde.2025.113229

Meina Gao , Jianjun Liu , Zejing Liu

引用次数: 0

摘要

本文在定性非退化条件下建立了具有多个法向频率的退化 KAM 定理。作为应用，本文得到了具有周期性边界条件的高维非线性薛定谔方程在平面波周围的准周期解。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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Quasi-periodic solutions around plane wave of high dimensional nonlinear Schrödinger equation

In this paper, a degenerate KAM theorem with multiple normal frequencies is established under qualitative non-degenerate conditions. As an application, quasi-periodic solutions around plane wave are obtained for high dimensional nonlinear Schrödinger equation with periodic boundary conditions.

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来源期刊

Journal of Differential Equations 数学-数学

CiteScore

4.40

自引率

8.30%

发文量

543

审稿时长

9 months

期刊介绍： The Journal of Differential Equations is concerned with the theory and the application of differential equations. The articles published are addressed not only to mathematicians but also to those engineers, physicists, and other scientists for whom differential equations are valuable research tools. Research Areas Include: • Mathematical control theory • Ordinary differential equations • Partial differential equations • Stochastic differential equations • Topological dynamics • Related topics