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Conference Paper: Doubly periodic and multiple pole solutions of the sinh-Poisson equation: Application of reciprocal transformations in subsonic gas dynamics
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TitleDoubly periodic and multiple pole solutions of the sinh-Poisson equation: Application of reciprocal transformations in subsonic gas dynamics
 
AuthorsChow, KW1
Mak, CC1
Rogers, C2
Schief, WK2
 
KeywordsReciprocal Transformations
Sinh-Poisson Equation
Subsonic Gas Dynamics
 
Issue Date2006
 
PublisherElsevier BV. The Journal's web site is located at http://www.elsevier.com/locate/cam
 
CitationJournal Of Computational And Applied Mathematics, 2006, v. 190 n. 1-2, p. 114-126 [How to Cite?]
DOI: http://dx.doi.org/10.1016/j.cam.2004.12.042
 
AbstractVortex patterns associated with the sinh-Poisson equation arise in a remarkable manner as relaxation states of the Navier-Stokes equations. Here, doubly periodic and multiple-pole solutions of the sinh-Poisson equation are generated via the Hirota bilinear operator formalism and exploitation of the phenomenon of coalescence of wave numbers. It is then shown how the multi-parameter reciprocal transformations of gas dynamics may be applied to a seed doubly periodic solution of the sinh-Poisson equation to generate associated periodic vortex structures valid in the subsonic flow of a generalized Kármán-Tsien gas. © 2005 Elsevier B.V. All rights reserved.
 
ISSN0377-0427
2013 Impact Factor: 1.077
2013 SCImago Journal Rankings: 1.148
 
DOIhttp://dx.doi.org/10.1016/j.cam.2004.12.042
 
ISI Accession Number IDWOS:000235851200008
 
ReferencesReferences in Scopus
 
DC FieldValue
dc.contributor.authorChow, KW
 
dc.contributor.authorMak, CC
 
dc.contributor.authorRogers, C
 
dc.contributor.authorSchief, WK
 
dc.date.accessioned2012-08-08T09:04:46Z
 
dc.date.available2012-08-08T09:04:46Z
 
dc.date.issued2006
 
dc.description.abstractVortex patterns associated with the sinh-Poisson equation arise in a remarkable manner as relaxation states of the Navier-Stokes equations. Here, doubly periodic and multiple-pole solutions of the sinh-Poisson equation are generated via the Hirota bilinear operator formalism and exploitation of the phenomenon of coalescence of wave numbers. It is then shown how the multi-parameter reciprocal transformations of gas dynamics may be applied to a seed doubly periodic solution of the sinh-Poisson equation to generate associated periodic vortex structures valid in the subsonic flow of a generalized Kármán-Tsien gas. © 2005 Elsevier B.V. All rights reserved.
 
dc.description.natureLink_to_subscribed_fulltext
 
dc.identifier.citationJournal Of Computational And Applied Mathematics, 2006, v. 190 n. 1-2, p. 114-126 [How to Cite?]
DOI: http://dx.doi.org/10.1016/j.cam.2004.12.042
 
dc.identifier.doihttp://dx.doi.org/10.1016/j.cam.2004.12.042
 
dc.identifier.epage126
 
dc.identifier.hkuros109071
 
dc.identifier.isiWOS:000235851200008
 
dc.identifier.issn0377-0427
2013 Impact Factor: 1.077
2013 SCImago Journal Rankings: 1.148
 
dc.identifier.issue1-2
 
dc.identifier.scopuseid_2-s2.0-31944451677
 
dc.identifier.spage114
 
dc.identifier.urihttp://hdl.handle.net/10722/158955
 
dc.identifier.volume190
 
dc.languageeng
 
dc.publisherElsevier BV. The Journal's web site is located at http://www.elsevier.com/locate/cam
 
dc.publisher.placeNetherlands
 
dc.relation.ispartofJournal of Computational and Applied Mathematics
 
dc.relation.referencesReferences in Scopus
 
dc.rightsJournal of Computational and Applied Mathematics. Copyright © Elsevier BV.
 
dc.subjectReciprocal Transformations
 
dc.subjectSinh-Poisson Equation
 
dc.subjectSubsonic Gas Dynamics
 
dc.titleDoubly periodic and multiple pole solutions of the sinh-Poisson equation: Application of reciprocal transformations in subsonic gas dynamics
 
dc.typeConference_Paper
 
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<contributor.author>Rogers, C</contributor.author>
<contributor.author>Schief, WK</contributor.author>
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<description.abstract>Vortex patterns associated with the sinh-Poisson equation arise in a remarkable manner as relaxation states of the Navier-Stokes equations. Here, doubly periodic and multiple-pole solutions of the sinh-Poisson equation are generated via the Hirota bilinear operator formalism and exploitation of the phenomenon of coalescence of wave numbers. It is then shown how the multi-parameter reciprocal transformations of gas dynamics may be applied to a seed doubly periodic solution of the sinh-Poisson equation to generate associated periodic vortex structures valid in the subsonic flow of a generalized K&#225;rm&#225;n-Tsien gas. &#169; 2005 Elsevier B.V. All rights reserved.</description.abstract>
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Author Affiliations
  1. The University of Hong Kong
  2. University of New South Wales