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Article: Solitons in (2 + 0) dimensions and their applications in vortex dynamics

TitleSolitons in (2 + 0) dimensions and their applications in vortex dynamics
Authors
KeywordsNonlinear Waves
Vortex Dynamics
Issue Date1997
PublisherInstitute of Physics Publishing Ltd. The Journal's web site is located at http://www.iop.org/journals/fdr
Citation
Fluid Dynamics Research, 1997, v. 21 n. 2, p. 101-114 How to Cite?
AbstractGlobally smooth, exact solutions of inviscid, two-dimensional vortex dynamics are derived by exploiting techniques from soliton theory. The Stuart and Mallier-Maslowe vortices are rederived using the Hirota method and a 2-soliton solution. A 3-soliton expansion yields a complex flow pattern. Doubly periodic arrays of vortices are expressed in terms of elliptic and theta functions. The implications and interpretations in the dynamics of shear flows are discussed.
Persistent Identifierhttp://hdl.handle.net/10722/156466
ISSN
2015 Impact Factor: 0.846
2015 SCImago Journal Rankings: 0.463
References

 

DC FieldValueLanguage
dc.contributor.authorChow, KWen_US
dc.contributor.authorKo, NWMen_US
dc.contributor.authorTang, SKen_US
dc.date.accessioned2012-08-08T08:42:32Z-
dc.date.available2012-08-08T08:42:32Z-
dc.date.issued1997en_US
dc.identifier.citationFluid Dynamics Research, 1997, v. 21 n. 2, p. 101-114en_US
dc.identifier.issn0169-5983en_US
dc.identifier.urihttp://hdl.handle.net/10722/156466-
dc.description.abstractGlobally smooth, exact solutions of inviscid, two-dimensional vortex dynamics are derived by exploiting techniques from soliton theory. The Stuart and Mallier-Maslowe vortices are rederived using the Hirota method and a 2-soliton solution. A 3-soliton expansion yields a complex flow pattern. Doubly periodic arrays of vortices are expressed in terms of elliptic and theta functions. The implications and interpretations in the dynamics of shear flows are discussed.en_US
dc.languageengen_US
dc.publisherInstitute of Physics Publishing Ltd. The Journal's web site is located at http://www.iop.org/journals/fdren_US
dc.relation.ispartofFluid Dynamics Researchen_US
dc.subjectNonlinear Wavesen_US
dc.subjectVortex Dynamicsen_US
dc.titleSolitons in (2 + 0) dimensions and their applications in vortex dynamicsen_US
dc.typeArticleen_US
dc.identifier.emailChow, KW:kwchow@hku.hken_US
dc.identifier.authorityChow, KW=rp00112en_US
dc.description.naturelink_to_subscribed_fulltexten_US
dc.identifier.scopuseid_2-s2.0-0031215055en_US
dc.relation.referenceshttp://www.scopus.com/mlt/select.url?eid=2-s2.0-0031215055&selection=ref&src=s&origin=recordpageen_US
dc.identifier.volume21en_US
dc.identifier.issue2en_US
dc.identifier.spage101en_US
dc.identifier.epage114en_US
dc.publisher.placeUnited Kingdomen_US
dc.identifier.scopusauthoridChow, KW=13605209900en_US
dc.identifier.scopusauthoridKo, NWM=24522564300en_US
dc.identifier.scopusauthoridTang, SK=7403436418en_US

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