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
2011 Impact Factor: 1.112
2011 SCImago Journal Rankings: 0.056
DOIhttp://dx.doi.org/10.1016/j.cam.2004.12.042
ISI Accession Number IDWOS:000235851200008
ReferencesReferences in Scopus
DC Field
Value
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
2011 Impact Factor: 1.112
2011 SCImago Journal Rankings: 0.056
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
Author Affiliations
  1. The University of Hong Kong
  2. University of New South Wales