The energy graph of the non-linear Schrödinger equation

DOI10.4171/RLM/654zbMath1294.35146arXiv1205.1751OpenAlexW3112633816MaRDI QIDQ361771

Michela Procesi, Claudio Procesi, Bich Van Nguyen

Publication date: 19 August 2013

Published in: Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Serie IX. Rendiconti Lincei. Matematica e Applicazioni (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1205.1751

zbMATH Keywords

stabilitynormal formCayley graphsNLS equation

Mathematics Subject Classification ID

Graph polynomials (05C31) NLS equations (nonlinear Schrödinger equations) (35Q55) Perturbations, KAM theory for infinite-dimensional Hamiltonian and Lagrangian systems (37K55)

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Cites Work

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• A KAM algorithm for the resonant non-linear Schrödinger equation
• KAM for the quantum harmonic oscillator
• A normal form for the Schrödinger equation with analytic non-linearities
• Birkhoff normal form for partial differential equations with tame modulus
• Transfer of energy to high frequencies in the cubic defocusing nonlinear Schrödinger equation

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