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Article: Solitons in (2 + 0) dimensions and their applications in vortex dynamics
Title | Solitons in (2 + 0) dimensions and their applications in vortex dynamics |
---|---|
Authors | |
Keywords | Nonlinear Waves Vortex Dynamics |
Issue Date | 1997 |
Publisher | Institute 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? |
Abstract | Globally 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 Identifier | http://hdl.handle.net/10722/156466 |
ISSN | 2023 Impact Factor: 1.3 2023 SCImago Journal Rankings: 0.322 |
ISI Accession Number ID | |
References |
DC Field | Value | Language |
---|---|---|
dc.contributor.author | Chow, KW | en_US |
dc.contributor.author | Ko, NWM | en_US |
dc.contributor.author | Tang, SK | en_US |
dc.date.accessioned | 2012-08-08T08:42:32Z | - |
dc.date.available | 2012-08-08T08:42:32Z | - |
dc.date.issued | 1997 | en_US |
dc.identifier.citation | Fluid Dynamics Research, 1997, v. 21 n. 2, p. 101-114 | en_US |
dc.identifier.issn | 0169-5983 | en_US |
dc.identifier.uri | http://hdl.handle.net/10722/156466 | - |
dc.description.abstract | Globally 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.language | eng | en_US |
dc.publisher | Institute of Physics Publishing Ltd. The Journal's web site is located at http://www.iop.org/journals/fdr | en_US |
dc.relation.ispartof | Fluid Dynamics Research | en_US |
dc.subject | Nonlinear Waves | en_US |
dc.subject | Vortex Dynamics | en_US |
dc.title | Solitons in (2 + 0) dimensions and their applications in vortex dynamics | en_US |
dc.type | Article | en_US |
dc.identifier.email | Chow, KW:kwchow@hku.hk | en_US |
dc.identifier.authority | Chow, KW=rp00112 | en_US |
dc.description.nature | link_to_subscribed_fulltext | en_US |
dc.identifier.scopus | eid_2-s2.0-0031215055 | en_US |
dc.relation.references | http://www.scopus.com/mlt/select.url?eid=2-s2.0-0031215055&selection=ref&src=s&origin=recordpage | en_US |
dc.identifier.volume | 21 | en_US |
dc.identifier.issue | 2 | en_US |
dc.identifier.spage | 101 | en_US |
dc.identifier.epage | 114 | en_US |
dc.identifier.isi | WOS:A1997XG65700003 | - |
dc.publisher.place | United Kingdom | en_US |
dc.identifier.scopusauthorid | Chow, KW=13605209900 | en_US |
dc.identifier.scopusauthorid | Ko, NWM=24522564300 | en_US |
dc.identifier.scopusauthorid | Tang, SK=7403436418 | en_US |
dc.identifier.issnl | 0169-5983 | - |