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arXiv · 1710.09173

Stable and unstable time quasi periodic solutions for a system of coupled NLS equations

Benoît Grébert·Victor Vilaça da Rocha
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Abstract

We prove that a system of coupled nonlinear Schr{\"o}dinger equations on the torus exhibits both stable and unstable small KAM tori. In particular the unstable tori are related to a beating phenomena which has been proved recently in [6]. This is the first example of unstable tori for a 1d PDE.

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Benoît Grébert, Victor Vilaça da Rocha. 2017-10-25. Stable and unstable time quasi periodic solutions for a system of coupled NLS equations. https://doi.org/10.1088/1361-6544%2Faad3d9

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