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Article: (2 + 1) dimensional wave patterns of the Davey-Stewartson system

Title(2 + 1) dimensional wave patterns of the Davey-Stewartson system
Authors
Chow, KWMak, CC
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
Citation
Journal 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.
Persistent Identifierhttp://hdl.handle.net/10722/156717
ISSN
0031-9015
2021 Impact Factor: 1.933
2020 SCImago Journal Rankings: 0.760
ISI Accession Number ID
WOS:000187561500014
References
References in Scopus

 

DC FieldValueLanguage
dc.contributor.authorChow, KWen_US
dc.contributor.authorMak, CCen_US
dc.date.accessioned2012-08-08T08:43:40Z-
dc.date.available2012-08-08T08:43:40Z-
dc.date.issued2003en_US
dc.identifier.citationJournal of the Physical Society of Japan, 2003, v. 72 n. 12, p. 3070-3074-
dc.identifier.issn0031-9015en_US
dc.identifier.urihttp://hdl.handle.net/10722/156717-
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.en_US
dc.languageengen_US
dc.publisherInstitute of Pure and Applied Physics. The Journal's web site is located at http://www.ipap.jp/jpsj/index.htmen_US
dc.relation.ispartofJournal of the Physical Society of Japanen_US
dc.subjectDavey-Stewartson Equationsen_US
dc.subjectHirota Bilinear Methoden_US
dc.subjectSolitonsen_US
dc.title(2 + 1) dimensional wave patterns of the Davey-Stewartson systemen_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.doi10.1143/JPSJ.72.3070en_US
dc.identifier.scopuseid_2-s2.0-0842333329en_US
dc.identifier.hkuros90345-
dc.relation.referenceshttp://www.scopus.com/mlt/select.url?eid=2-s2.0-0842333329&selection=ref&src=s&origin=recordpageen_US
dc.identifier.volume72en_US
dc.identifier.issue12en_US
dc.identifier.spage3070en_US
dc.identifier.epage3074en_US
dc.identifier.isiWOS:000187561500014-
dc.publisher.placeJapanen_US
dc.identifier.scopusauthoridChow, KW=13605209900en_US
dc.identifier.scopusauthoridMak, CC=36912196900en_US
dc.identifier.issnl0031-9015-

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