Stability of KAM tori for nonlinear Schrodinger equation
Cong Hongzi, Liu Jianjun, Yuan Xiaoping
TL;DR
This paper proves that KAM tori, which correspond to quasi-periodic solutions, remain stable over long periods in the context of the nonlinear Schrödinger equation.
Contribution
It establishes the long-time stability of KAM tori for the nonlinear Schrödinger equation, advancing understanding of their persistence.
Findings
KAM tori are long-time stable for nonlinear Schrödinger equation
Quasi-periodic solutions persist over extended periods
Provides rigorous proof of stability in infinite-dimensional setting
Abstract
It is proved that the KAM tori (thus quasi-periodic solutions) are long time stable for nonlinear Schrodinger equation.
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Taxonomy
TopicsQuantum chaos and dynamical systems · Numerical methods for differential equations · Nonlinear Photonic Systems