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KAM theorem for the nonlinear Schrödinger equation. (English) Zbl 0977.35133

Summary: We prove the persistence of finite-dimensional invariant tori associated with the defocusing nonlinear Schrödinger equation under small Hamiltonian perturbations. The invariant tori are not necessarily small.

MSC:

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

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