Nonlinearization and waves in bounded media: old wine in a new bottle

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dc.contributor.authorMortell, Michael P.
dc.contributor.authorSeymour, Brian R.
dc.contributor.funderNatural Sciences and Engineering Research Council of Canadaen
dc.date.accessioned2017-03-13T12:42:51Z
dc.date.available2017-03-13T12:42:51Z
dc.date.issued2017-03
dc.date.updated2017-03-13T12:33:57Z
dc.description.abstractWe consider problems such as a standing wave in a closed straight tube, a self-sustained oscillation, damped resonance, evolution of resonance and resonance between concentric spheres. These nonlinear problems, and other similar ones, have been solved by a variety of techniques when it is seen that linear theory fails. The unifying approach given here is to initially set up the appropriate linear difference equation, where the difference is the linear travel time. When the linear travel time is replaced by a corrected nonlinear travel time, the nonlinear difference equation yields the required solution.en
dc.description.sponsorshipNSERC Discovery Grant A9117 (BRS)en
dc.description.statusPeer revieweden
dc.description.versionPublished Versionen
dc.format.mimetypeapplication/pdfen
dc.identifier.citationMortell, M. P. and Seymour, B. R. (2017) 'Nonlinearization and waves in bounded media: old wine in a new bottle', Journal of Physics: Conference Series, 811(1), pp. 012006. doi:10.1088/1742-6596/811/1/012006en
dc.identifier.doi10.1088/1742-6596/811/1/012006
dc.identifier.endpage12006-10en
dc.identifier.issn1742-6596
dc.identifier.issued1en
dc.identifier.journaltitleJournal of Physics: Conference Seriesen
dc.identifier.startpage12006-1en
dc.identifier.urihttps://hdl.handle.net/10468/3772
dc.identifier.volume811en
dc.language.isoenen
dc.publisherIOP Publishingen
dc.rights© 2017. Published under licence in Journal of Physics: Conf. Series by IOP Publishing Ltd. Content from this work may be used under the terms of the Creative Commons Attribution 3.0 licence. Any further distribution of this work must maintain attribution to the authors and the title of the work, journal citation and DOI.en
dc.rights.urihttp://creativecommons.org/licenses/by/3.0/en
dc.subjectWave reflectionsen
dc.subjectOscillationen
dc.subjectResonanceen
dc.subjectHyperbolic wavesen
dc.titleNonlinearization and waves in bounded media: old wine in a new bottleen
dc.typeArticle (peer-reviewed)en
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