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
2011 Impact Factor: 2.364
2011 SCImago Journal Rankings: 0.074
DOIhttp://dx.doi.org/10.1143/JPSJ.72.3070
ISI Accession Number IDWOS:000187561500014
ReferencesReferences in Scopus
DC Field
Value
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
2011 Impact Factor: 2.364
2011 SCImago Journal Rankings: 0.074
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
Author Affiliations
  1. The University of Hong Kong