Interaction of modulated pulses in the nonlinear Schrodinger equation with periodic potential
| dc.contributor.author | Giannoulis, J. | en |
| dc.contributor.author | Mielke, A. | en |
| dc.contributor.author | Sparber, C. | en |
| dc.date.accessioned | 2015-11-24T17:24:53Z | |
| dc.date.available | 2015-11-24T17:24:53Z | |
| dc.identifier.issn | 0022-0396 | - |
| dc.identifier.uri | https://olympias.lib.uoi.gr/jspui/handle/123456789/12967 | |
| dc.rights | Default Licence | - |
| dc.subject | nonlinear schrodinger equation | en |
| dc.subject | bloch eigenvalue problem | en |
| dc.subject | two scale asymptotics | en |
| dc.subject | modulation equations | en |
| dc.subject | four-wave interaction | en |
| dc.subject | bloch waves | en |
| dc.subject | dynamics | en |
| dc.subject | asymptotics | en |
| dc.title | Interaction of modulated pulses in the nonlinear Schrodinger equation with periodic potential | en |
| heal.abstract | We consider a cubic nonlinear Schrodinger 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 interaction of these pulses. (C) 2008 Elsevier Inc. All rights reserved. | en |
| heal.access | campus | - |
| heal.fullTextAvailability | TRUE | - |
| heal.identifier.primary | DOI 10.1016/j.jde.2008.05.001 | - |
| heal.identifier.secondary | <Go to ISI>://000257169500005 | - |
| heal.identifier.secondary | http://ac.els-cdn.com/S0022039608002143/1-s2.0-S0022039608002143-main.pdf?_tid=cb855233e37e3aec1fe6487bd17c2717&acdnat=1339055496_5728577d983b975d05b54eb37eb92914 | - |
| heal.journalName | Journal of Differential Equations | en |
| heal.journalType | peer reviewed | - |
| heal.language | en | - |
| heal.publicationDate | 2008 | - |
| heal.publisher | Elsevier | en |
| heal.recordProvider | Πανεπιστήμιο Ιωαννίνων. Σχολή Θετικών Επιστημών. Τμήμα Μαθηματικών | el |
| heal.type | journalArticle | - |
| heal.type.el | Άρθρο Περιοδικού | el |
| heal.type.en | Journal article | en |
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