Show simple item record

dc.contributor.authorKetcheson, David I.
dc.contributor.authorQuezada de Luna, Manuel
dc.date.accessioned2015-04-16T05:40:27Z
dc.date.available2015-04-16T05:40:27Z
dc.date.issued2015-03-31
dc.identifier.citationDiffractons: Solitary Waves Created by Diffraction in Periodic Media 2015, 13 (1):440 Multiscale Modeling & Simulation
dc.identifier.issn1540-3459
dc.identifier.issn1540-3467
dc.identifier.doi10.1137/130946526
dc.identifier.urihttp://hdl.handle.net/10754/550149
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.
dc.publisherSociety for Industrial & Applied Mathematics (SIAM)
dc.relation.urlhttp://epubs.siam.org/doi/10.1137/130946526
dc.rightsArchived with thanks to Multiscale Modeling & Simulation
dc.subjectsolitary waves
dc.subjectperiodic media
dc.subjectdiffraction
dc.subjecthomogenization
dc.titleDiffractons: Solitary Waves Created by Diffraction in Periodic Media
dc.typeArticle
dc.contributor.departmentApplied Mathematics and Computational Science Program
dc.contributor.departmentComputer, Electrical and Mathematical Sciences and Engineering (CEMSE) Division
dc.contributor.departmentNumerical Mathematics Group
dc.identifier.journalMultiscale Modeling & Simulation
dc.eprint.versionPublisher's Version/PDF
dc.contributor.institutionDepartment of Mathematics, Texas A&M University, College Station, TX 77843
dc.identifier.arxividarXiv:1312.4122
kaust.personKetcheson, David I.
refterms.dateFOA2018-06-14T04:53:06Z
dc.date.published-online2015-03-31
dc.date.published-print2015-01


Files in this item

Thumbnail
Name:
130946526.pdf
Size:
1.728Mb
Format:
PDF
Description:
Main article

This item appears in the following Collection(s)

Show simple item record