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

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dc.contributor.author Mortell, Michael P.
dc.contributor.author Seymour, Brian R.
dc.date.accessioned 2017-03-13T12:42:51Z
dc.date.available 2017-03-13T12:42:51Z
dc.date.issued 2017-03
dc.identifier.citation Mortell, 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:10.1088/1742-6596/811/1/012006 en
dc.identifier.volume 811 en
dc.identifier.issued 1 en
dc.identifier.startpage 12006-1 en
dc.identifier.endpage 12006-10 en
dc.identifier.issn 1742-6596
dc.identifier.uri http://hdl.handle.net/10468/3772
dc.identifier.doi 10.1088/1742-6596/811/1/012006
dc.description.abstract We 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.sponsorship NSERC Discovery Grant A9117 (BRS) en
dc.format.mimetype application/pdf en
dc.language.iso en en
dc.publisher IOP Publishing en
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.uri http://creativecommons.org/licenses/by/3.0/ en
dc.subject Wave reflections en
dc.subject Oscillation en
dc.subject Resonance en
dc.subject Hyperbolic waves en
dc.title Nonlinearization and waves in bounded media: old wine in a new bottle en
dc.type Article (peer-reviewed) en
dc.internal.authorcontactother Michael Mortell, School Of Mathematical Sciences, University College Cork, Cork, Ireland. +353-21-490-3000 Email: m.mortell@ucc.ie en
dc.internal.availability Full text available en
dc.date.updated 2017-03-13T12:33:57Z
dc.description.version Published Version en
dc.internal.rssid 386981745
dc.contributor.funder Natural Sciences and Engineering Research Council of Canada en
dc.description.status Peer reviewed en
dc.identifier.journaltitle Journal of Physics: Conference Series en
dc.internal.copyrightchecked No !!CORA!! en
dc.internal.licenseacceptance Yes en
dc.internal.IRISemailaddress m.mortell@ucc.ie en


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© 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. Except where otherwise noted, this item's license is described as © 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.
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