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- W2004881242 abstract "We consider the nonlinear Schrödinger equation with cubic (focusing or defocusing) nonlinearity on the multidimensional torus. For special small initial data containing only five modes, we exhibit a countable set of time layers in which arbitrarily large modes are created. The proof relies on a reduction to multiphase weakly nonlinear geometric optics, and on the study of a particular two-dimensional discrete dynamical system." @default.
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- W2004881242 date "2012-01-01" @default.
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- W2004881242 title "Energy cascades for NLS on the torus" @default.
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- W2004881242 doi "https://doi.org/10.3934/dcds.2012.32.2063" @default.
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