Diffractons: Solitary Waves Created by Diffraction in Periodic Media

Handle URI:
http://hdl.handle.net/10754/550149
Title:
Diffractons: Solitary Waves Created by Diffraction in Periodic Media
Authors:
Ketcheson, David I. ( 0000-0002-1212-126X ) ; Quezada de Luna, Manuel
Abstract:
A new class of solitary waves arises in the solution of nonlinear wave equations with constant impedance and no dispersive terms. These solitary waves depend on a balance between nonlinearity and a dispersion-like effect due to spatial variation in the sound speed of the medium. A high-order homogenized model confirms this effective dispersive behavior, and its solutions agree well with those obtained by direct simulation of the variable-coefficient system. These waves are observed to be long-time stable, globally attracting solutions that arise in general as solutions to nonlinear wave problems with periodically varying sound speed. They share some properties with known classes of solitary waves but possess important differences as well.
KAUST Department:
Computer, Electrical and Mathematical Sciences and Engineering (CEMSE) Division
Citation:
Diffractons: Solitary Waves Created by Diffraction in Periodic Media 2015, 13 (1):440 Multiscale Modeling & Simulation
Publisher:
Society for Industrial & Applied Mathematics (SIAM)
Journal:
Multiscale Modeling & Simulation
Issue Date:
31-Mar-2015
DOI:
10.1137/130946526
Type:
Article
ISSN:
1540-3459; 1540-3467
Additional Links:
http://epubs.siam.org/doi/10.1137/130946526
Appears in Collections:
Articles; Computer, Electrical and Mathematical Sciences and Engineering (CEMSE) Division

Full metadata record

DC FieldValue Language
dc.contributor.authorKetcheson, David I.en
dc.contributor.authorQuezada de Luna, Manuelen
dc.date.accessioned2015-04-16T05:40:27Zen
dc.date.available2015-04-16T05:40:27Zen
dc.date.issued2015-03-31en
dc.identifier.citationDiffractons: Solitary Waves Created by Diffraction in Periodic Media 2015, 13 (1):440 Multiscale Modeling & Simulationen
dc.identifier.issn1540-3459en
dc.identifier.issn1540-3467en
dc.identifier.doi10.1137/130946526en
dc.identifier.urihttp://hdl.handle.net/10754/550149en
dc.description.abstractA new class of solitary waves arises in the solution of nonlinear wave equations with constant impedance and no dispersive terms. These solitary waves depend on a balance between nonlinearity and a dispersion-like effect due to spatial variation in the sound speed of the medium. A high-order homogenized model confirms this effective dispersive behavior, and its solutions agree well with those obtained by direct simulation of the variable-coefficient system. These waves are observed to be long-time stable, globally attracting solutions that arise in general as solutions to nonlinear wave problems with periodically varying sound speed. They share some properties with known classes of solitary waves but possess important differences as well.en
dc.publisherSociety for Industrial & Applied Mathematics (SIAM)en
dc.relation.urlhttp://epubs.siam.org/doi/10.1137/130946526en
dc.rightsArchived with thanks to Multiscale Modeling & Simulationen
dc.subjectsolitary wavesen
dc.subjectperiodic mediaen
dc.subjectdiffractionen
dc.subjecthomogenizationen
dc.titleDiffractons: Solitary Waves Created by Diffraction in Periodic Mediaen
dc.typeArticleen
dc.contributor.departmentComputer, Electrical and Mathematical Sciences and Engineering (CEMSE) Divisionen
dc.identifier.journalMultiscale Modeling & Simulationen
dc.eprint.versionPublisher's Version/PDFen
dc.contributor.institutionDepartment of Mathematics, Texas A&M University, College Station, TX 77843en
kaust.authorKetcheson, David I.en
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