The Whitham approach to dispersive shocks in systems with cubic–quintic nonlinearities

Handle URI:
http://hdl.handle.net/10754/554390
Title:
The Whitham approach to dispersive shocks in systems with cubic–quintic nonlinearities
Authors:
Crosta, M; Trillo, S; Fratalocchi, Andrea ( 0000-0001-6769-4439 )
Abstract:
By employing a rigorous approach based on the Whitham modulation theory, we investigate dispersive shock waves arising in a high-order nonlinear Schrödinger equation with competing cubic and quintic nonlinear responses. This model finds important applications in both nonlinear optics and Bose–Einstein condensates. Our theory predicts the formation of dispersive shocks with totally controllable properties, encompassing both steering and compression effects. Numerical simulations confirm these results perfectly. Quite remarkably, shock tuning can be achieved in the regime of a very small high order, i.e. quintic, nonlinearity.
KAUST Department:
PRIMALIGHT Research Group; Electrical Engineering Program; Computer, Electrical and Mathematical Sciences and Engineering (CEMSE) Division
Citation:
The Whitham approach to dispersive shocks in systems with cubic–quintic nonlinearities 2012, 14 (9):093019 New Journal of Physics
Publisher:
IOP Publishing
Journal:
New Journal of Physics
Issue Date:
12-Sep-2012
DOI:
10.1088/1367-2630/14/9/093019
Type:
Article
ISSN:
1367-2630
Additional Links:
http://stacks.iop.org/1367-2630/14/i=9/a=093019?key=crossref.13a4ffad594e9d0d75197777285c9006
Appears in Collections:
Articles; PRIMALIGHT Research Group; PRIMALIGHT Research Group; Electrical Engineering Program; Computer, Electrical and Mathematical Sciences and Engineering (CEMSE) Division; Computer, Electrical and Mathematical Sciences and Engineering (CEMSE) Division

Full metadata record

DC FieldValue Language
dc.contributor.authorCrosta, Men
dc.contributor.authorTrillo, Sen
dc.contributor.authorFratalocchi, Andreaen
dc.date.accessioned2015-05-21T07:10:43Zen
dc.date.available2015-05-21T07:10:43Zen
dc.date.issued2012-09-12en
dc.identifier.citationThe Whitham approach to dispersive shocks in systems with cubic–quintic nonlinearities 2012, 14 (9):093019 New Journal of Physicsen
dc.identifier.issn1367-2630en
dc.identifier.doi10.1088/1367-2630/14/9/093019en
dc.identifier.urihttp://hdl.handle.net/10754/554390en
dc.description.abstractBy employing a rigorous approach based on the Whitham modulation theory, we investigate dispersive shock waves arising in a high-order nonlinear Schrödinger equation with competing cubic and quintic nonlinear responses. This model finds important applications in both nonlinear optics and Bose–Einstein condensates. Our theory predicts the formation of dispersive shocks with totally controllable properties, encompassing both steering and compression effects. Numerical simulations confirm these results perfectly. Quite remarkably, shock tuning can be achieved in the regime of a very small high order, i.e. quintic, nonlinearity.en
dc.publisherIOP Publishingen
dc.relation.urlhttp://stacks.iop.org/1367-2630/14/i=9/a=093019?key=crossref.13a4ffad594e9d0d75197777285c9006en
dc.rightsContent from this work may be used under the terms of the Creative Commons Attribution-NonCommercial-ShareAlike 3.0 licence. Any further distribution of this work must maintain attribution to the author(s) and the title of the work, journal citation and DOI. http://creativecommons.org/licenses/by-nc-sa/3.0en
dc.titleThe Whitham approach to dispersive shocks in systems with cubic–quintic nonlinearitiesen
dc.typeArticleen
dc.contributor.departmentPRIMALIGHT Research Groupen
dc.contributor.departmentElectrical Engineering Programen
dc.contributor.departmentComputer, Electrical and Mathematical Sciences and Engineering (CEMSE) Divisionen
dc.identifier.journalNew Journal of Physicsen
dc.eprint.versionPublisher's Version/PDFen
dc.contributor.institutionDipartimento di Ingegneria, Università di Ferrara, Via Saragat 1, 44122 Ferrara, Italyen
kaust.authorFratalocchi, Andreaen
kaust.authorCrosta, Matteoen
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