Invariant tori for the fractional nonlinear Schrödinger equation with nonlinearity periodically depending on spatial variable

被引：0

作者：

Liu, Jieyu ^{[1
,2
]}

Zhang, Jing ^{[1
,2
]}

机构：

[1] East China Normal Univ, Sch Math Sci, Key Lab Math & Engn Applicat, Minist Educ, Shanghai 200241, Peoples R China

[2] East China Normal Univ, Shanghai Key Lab PMMP, Shanghai 200241, Peoples R China

来源：

FRACTIONAL CALCULUS AND APPLIED ANALYSIS | 2025年 / 28卷 / 03期

基金：

中国国家自然科学基金;

关键词：

Quasi-periodic solution; KAM theorem; Reversible system; Unbounded perturbation; WAVE-EQUATIONS; HAMILTONIAN PERTURBATIONS; SCHRODINGER-EQUATION; CANTOR MANIFOLDS; KAM THEOREM; EXISTENCE;

D O I：

10.1007/s13540-025-00409-1

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we focus on a type of fractional nonlinear Schr & ouml;dinger equation with odd periodic boundary conditions, where the nonlinearity periodically depending on spatial variable x. By an abstract KAM (Kolmogorov-Arnold-Moser) theorem for infinite dimensional reversible systems with unbounded perturbation, we obtain that there exists a lot of smooth quasi-periodic solutions with small amplitude for fractional nonlinear Schr & ouml;dinger equations.

引用

页码：1564 / 1610

页数：47

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