Interaction of modulated pulses in the nonlinear Schroedinger equation with periodic potential

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dc.creatorGiannoulis, Johannes
dc.creatorMielke, Alexander
dc.creatorSparber, Christof
dc.date2007-05-01
dc.date.accessioned2026-07-07T08:18:39Z
dc.date.available2026-07-07T08:18:39Z
dc.descriptionWe consider a cubic nonlinear Schroedinger equation with periodic potential. In a semiclassical scaling the nonlinear interaction of modulated pulses concentrated in one or several Bloch bands is studied. The notion of closed mode systems is introduced which allows for the rigorous derivation of a finite system of amplitude equations describing the macroscopic dynamics of these pulses.
dc.identifierhttps://arxiv.org/abs/0705.0131
dc.identifierhttp://arxiv.org/abs/0705.0131
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/134509
dc.subjectAnalysis of PDEs
dc.subjectMathematical Physics
dc.subjectExactly Solvable and Integrable Systems
dc.subject81Q20, 34E13, 34E20, 35Q55
dc.titleInteraction of modulated pulses in the nonlinear Schroedinger equation with periodic potential
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