Stability of KAM tori for nonlinear Schrodinger equation

2014/04/30 by Hongzi Cong, Hongzi, Cong, Jianjun, Liu +1
Mathematics · Physics and Astronomy · #Dynamical Systems (math.DS) #FOS: Mathematics #Nonlinear Photonic Systems #Numerical methods for differential equations #Quantum chaos and dynamical systems

paper · pdf · doi:10.48550/arxiv.1404.7557

openalex publication_date 2014/04/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

It is proved that the KAM tori (thus quasi-periodic solutions) are long time stable for nonlinear Schrodinger equation.

Citations

• Newton's method and periodic solutions of nonlinear wave equations
• Periodic and quasi-periodic solutions of nonlinear wave equations via KAM theory

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• The Stability of Full Dimensional KAM tori for Nonlinear Schrödinger equation
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• Long time stability of KAM tori for nonlinear wave equation
• A note on stability of Eliasson-Kuksin's KAM tori for the nonlinear Schrödinger equation