The nonlinear Schrodinger equation as a macroscopic limit for an oscillator chain with cubic nonlinearities
| dc.contributor.author | Giannoulis, J. | en |
| dc.contributor.author | Mielke, A. | en |
| dc.date.accessioned | 2015-11-24T17:21:35Z | |
| dc.date.available | 2015-11-24T17:21:35Z | |
| dc.identifier.issn | 0951-7715 | - |
| dc.identifier.uri | https://olympias.lib.uoi.gr/jspui/handle/123456789/12484 | |
| dc.rights | Default Licence | - |
| dc.subject | forced lattice-vibrations | en |
| dc.subject | solitary waves | en |
| dc.subject | traveling-waves | en |
| dc.subject | fpu lattices | en |
| dc.subject | systems | en |
| dc.subject | existence | en |
| dc.subject | modulation | en |
| dc.title | The nonlinear Schrodinger equation as a macroscopic limit for an oscillator chain with cubic nonlinearities | en |
| heal.abstract | We consider the nonlinear model of an infinite oscillator chain embedded in a background field. We start from an appropriate modulation ansatz of the space-time periodic solutions to the linearized (microscopic) model and derive formally the associated (macroscopic) modulation equation, which turns out-to be the nonlinear Schrodinger equation. Then we justify this necessary condition rigorously for the case of nonlinearities with cubic leading terms; i.e. we show that solutions that have the form of the assumed ansatz for t = 0 preserve this form over time-intervals with a positive macroscopic length. Finally, we transfer this result to the analogous case of a finite but large periodic chain and illustrate it by a numerical example. | en |
| heal.access | campus | - |
| heal.fullTextAvailability | TRUE | - |
| heal.identifier.primary | Doi 10.1088/0951-7715/17/2/011 | - |
| heal.identifier.secondary | <Go to ISI>://000220523400012 | - |
| heal.identifier.secondary | http://iopscience.iop.org/0951-7715/17/2/011/pdf/0951-7715_17_2_011.pdf | - |
| heal.journalName | Nonlinearity | en |
| heal.journalType | peer reviewed | - |
| heal.language | en | - |
| heal.publicationDate | 2004 | - |
| heal.publisher | Institute of Physics | 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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