Perturbations of the defocusing nonlinear Schrödinger equation

DOI10.1007/s00032-002-0018-2zbMath1048.37067OpenAlexW1994206189MaRDI QIDQ1878648

Benoît Grébert, Thomas Kappeler

Publication date: 7 September 2004

Published in: Milan Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00032-002-0018-2

zbMATH Keywords

nonlinear Schrödinger equationKAM theorysmall perturbationspersistence of invariant tori

Mathematics Subject Classification ID

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

Related Items (6)

KAM for PDEs ⋮ Arnold--Liouville Theorem for Integrable PDEs: A Case Study of the Focusing NLS Equation ⋮ Resonant dynamics for the quintic nonlinear Schrödinger equation ⋮ mKdV and its Birkhoff coordinates ⋮ Birkhoff coordinates for the focusing NLS equation ⋮ A KAM theorem for the defocusing NLS equation

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