Interaction of modulated pulses in the nonlinear Schrödinger equation with periodic potential
| dc.bibliographicCitation.seriesTitle | WIAS Preprints | eng |
| dc.bibliographicCitation.volume | 1221 | |
| dc.contributor.author | Giannoulis, Johannes | |
| dc.contributor.author | Mielke, Alexander | |
| dc.contributor.author | Sparber, Christof | |
| dc.date.accessioned | 2016-03-24T17:38:14Z | |
| dc.date.available | 2019-06-28T08:02:32Z | |
| dc.date.issued | 2007 | |
| dc.description.abstract | We consider a cubic nonlinear Schrödinger 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. | eng |
| dc.description.version | publishedVersion | eng |
| dc.format | application/pdf | |
| dc.identifier.issn | 0946-8633 | |
| dc.identifier.uri | https://doi.org/10.34657/2539 | |
| dc.identifier.uri | https://oa.tib.eu/renate/handle/123456789/1860 | |
| dc.language.iso | eng | eng |
| dc.publisher | Berlin : Weierstraß-Institut für Angewandte Analysis und Stochastik | eng |
| dc.relation.issn | 0946-8633 | eng |
| dc.rights.license | This document may be downloaded, read, stored and printed for your own use within the limits of § 53 UrhG but it may not be distributed via the internet or passed on to external parties. | eng |
| dc.rights.license | Dieses Dokument darf im Rahmen von § 53 UrhG zum eigenen Gebrauch kostenfrei heruntergeladen, gelesen, gespeichert und ausgedruckt, aber nicht im Internet bereitgestellt oder an Außenstehende weitergegeben werden. | ger |
| dc.subject.ddc | 510 | eng |
| dc.title | Interaction of modulated pulses in the nonlinear Schrödinger equation with periodic potential | eng |
| dc.type | Report | eng |
| dc.type | Text | eng |
| tib.accessRights | openAccess | eng |
| wgl.contributor | WIAS | eng |
| wgl.subject | Mathematik | eng |
| wgl.type | Report / Forschungsbericht / Arbeitspapier | eng |
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