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Article Dans Une Revue Physica D: Nonlinear Phenomena Année : 2012

Nonlinear quasimodes near elliptic periodic geodesics

Résumé

We consider the nonlinear Schrödinger equation on a compact manifold near an elliptic periodic geodesic. Using a geometric optics construction, we construct quasimodes to a nonlinear stationary problem which are highly localized near the periodic geodesic. We show the nonlinear Schrödinger evolution of such a quasimode remains localized near the geodesic, at least for short times.
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Dates et versions

hal-00577784 , version 1 (17-03-2011)

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  • HAL Id : hal-00577784 , version 1

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Pierre Albin, Hans Christianson, Jeremy Marzuola, Laurent Thomann. Nonlinear quasimodes near elliptic periodic geodesics. Physica D: Nonlinear Phenomena, 2012, 241 (4), pp.409--425. ⟨hal-00577784⟩
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