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Subjects
37-XX Dynamical systems and ergodic theory
37Lxx Infinite-dimensional dissipative dynamical systems
37L50 Noncompact semigroups; dispersive equations; perturbations of Hamiltonian systems

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Internal modes of solitons and near-integrable highly-dispersive nonlinear systems.

Charkina, Oksana V., Bogdan, Mikhail M. (2006)

SIGMA. Symmetry, Integrability and Geometry: Methods and Applications [electronic only]

Invariant measures for the defocusing Nonlinear Schrödinger equation

Nikolay Tzvetkov (2008)

Annales de l’institut Fourier

We prove the existence and the invariance of a Gibbs measure associated to the defocusing sub-quintic Nonlinear Schrödinger equations on the disc of the plane $ℝ^{2}$ . We also prove an estimate giving some intuition to what may happen in $3$ dimensions.

Currently displaying 1 – 2 of 2

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