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Article: (2 + 1) dimensional wave patterns of the Davey-Stewartson system
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Title(2 + 1) dimensional wave patterns of the Davey-Stewartson system
 
AuthorsChow, KW1
Mak, CC1
 
KeywordsDavey-Stewartson Equations
Hirota Bilinear Method
Solitons
 
Issue Date2003
 
PublisherInstitute of Pure and Applied Physics. The Journal's web site is located at http://www.ipap.jp/jpsj/index.htm
 
CitationJournal Of The Physical Society Of Japan, 2003, v. 72 n. 12, p. 3070-3074 [How to Cite?]
DOI: http://dx.doi.org/10.1143/JPSJ.72.3070
 
Abstract(2+ 1) (2 spatial and 1 temporal) dimensional patterns of standing waves are calculated theoretically for the Davey-Stewartson equations (DS). DS are relevant in hydrodynamic free surface waves of finite depth, and constitute a system of evolution equations with rich structure. The Hirota bilinear method, theta and Jacobi elliptic functions are employed. The wave patterns will be periodic in two mutually perpendicular spatial directions. The long wave limit can be taken by letting one of the spatial periods to become large. Special bright or dark solitons will result. The validity of all these solutions is verified independently by direct differentiation with the software MATHEMATICA. © 2003 The Physical Society of Japan.
 
ISSN0031-9015
2012 Impact Factor: 2.087
2012 SCImago Journal Rankings: 1.160
 
DOIhttp://dx.doi.org/10.1143/JPSJ.72.3070
 
ISI Accession Number IDWOS:000187561500014
 
ReferencesReferences in Scopus
 
DC FieldValue
dc.contributor.authorChow, KW
 
dc.contributor.authorMak, CC
 
dc.date.accessioned2012-08-08T08:43:40Z
 
dc.date.available2012-08-08T08:43:40Z
 
dc.date.issued2003
 
dc.description.abstract(2+ 1) (2 spatial and 1 temporal) dimensional patterns of standing waves are calculated theoretically for the Davey-Stewartson equations (DS). DS are relevant in hydrodynamic free surface waves of finite depth, and constitute a system of evolution equations with rich structure. The Hirota bilinear method, theta and Jacobi elliptic functions are employed. The wave patterns will be periodic in two mutually perpendicular spatial directions. The long wave limit can be taken by letting one of the spatial periods to become large. Special bright or dark solitons will result. The validity of all these solutions is verified independently by direct differentiation with the software MATHEMATICA. © 2003 The Physical Society of Japan.
 
dc.description.natureLink_to_subscribed_fulltext
 
dc.identifier.citationJournal Of The Physical Society Of Japan, 2003, v. 72 n. 12, p. 3070-3074 [How to Cite?]
DOI: http://dx.doi.org/10.1143/JPSJ.72.3070
 
dc.identifier.doihttp://dx.doi.org/10.1143/JPSJ.72.3070
 
dc.identifier.epage3074
 
dc.identifier.hkuros90345
 
dc.identifier.isiWOS:000187561500014
 
dc.identifier.issn0031-9015
2012 Impact Factor: 2.087
2012 SCImago Journal Rankings: 1.160
 
dc.identifier.issue12
 
dc.identifier.scopuseid_2-s2.0-0842333329
 
dc.identifier.spage3070
 
dc.identifier.urihttp://hdl.handle.net/10722/156717
 
dc.identifier.volume72
 
dc.languageeng
 
dc.publisherInstitute of Pure and Applied Physics. The Journal's web site is located at http://www.ipap.jp/jpsj/index.htm
 
dc.publisher.placeJapan
 
dc.relation.ispartofJournal of the Physical Society of Japan
 
dc.relation.referencesReferences in Scopus
 
dc.subjectDavey-Stewartson Equations
 
dc.subjectHirota Bilinear Method
 
dc.subjectSolitons
 
dc.title(2 + 1) dimensional wave patterns of the Davey-Stewartson system
 
dc.typeArticle
 
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Author Affiliations
  1. The University of Hong Kong