KAM Theorem for the Nonlinear Schrödinger Equation

DOI10.2991/jnmp.2001.8.s.23zbMath0977.35133OpenAlexW2036013370MaRDI QIDQ2732469

Thomas Kappeler, Benoît Grébert

Publication date: 17 January 2002

Published in: Journal of Nonlinear Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://www.zora.uzh.ch/id/eprint/22028/1/8s-23e.pdf

zbMATH Keywords

Hamiltonian perturbationsdefocusing nonlinear Schrödinger equation

Mathematics Subject Classification ID

NLS equations (nonlinear Schrödinger equations) (35Q55) Perturbations, KAM theory for infinite-dimensional Hamiltonian and Lagrangian systems (37K55)

Cites Work

• Nearly integrable infinite-dimensional Hamiltonian systems
• Gap estimates of the spectrum of the Zakharov-Shabat system
• Invariant Cantor manifolds of quasi-periodic oscillations for a nonlinear Schrödinger equation
• On the symplectic structure of the phase space for periodic KdV, Toda, and defocusing NLS

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