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Article: Doubly periodic patterns of modulated hydrodynamic waves: Exact solutions of the Davey-Stewartson system

TitleDoubly periodic patterns of modulated hydrodynamic waves: Exact solutions of the Davey-Stewartson system
Authors
KeywordsDavey-Stewartson equations
Free surface waves
Periodic patterns
Issue Date2011
PublisherSpringer Verlag. The Journal's web site is located at http://www.springeronline.com/sgw/cda/frontpage/0,11855,1-102-70-28739617-0,00.html?changeHeader=true
Citation
Acta Mechanica Sinica/Lixue Xuebao, 2011, v. 27 n. 5, p. 620-626 How to Cite?
AbstractExact doubly periodic standing wave patterns of the Davey-Stewartson (DS) equations are derived in terms of rational expressions of elliptic functions. In fluid mechanics, DS equations govern the evolution of weakly nonlinear, free surface wave packets when long wavelength modulations in two mutually perpendicular, horizontal directions are incorporated. Elliptic functions with two different moduli (periods) are necessary in the two directions. The relation between the moduli and the wave numbers constitutes the dispersion relation of such waves. In the long wave limit, localized pulses are recovered. © 2011 The Chinese Society of Theoretical and Applied Mechanics; Institute of Mechanics, Chinese Academy of Sciences and Springer-Verlag Berlin Heidelberg.
Persistent Identifierhttp://hdl.handle.net/10722/137331
ISSN
2015 Impact Factor: 0.832
2015 SCImago Journal Rankings: 0.426
ISI Accession Number ID
Funding AgencyGrant Number
Hong Kong Research Grants Council711807E
712008E
Funding Information:

The financial support of the Hong Kong Research Grants Council through contracts 711807E and 712008E is gratefully acknowledged.

References

 

DC FieldValueLanguage
dc.contributor.authorLi, JHen_HK
dc.contributor.authorLou, SYen_HK
dc.contributor.authorChow, KWen_HK
dc.date.accessioned2011-08-26T14:23:26Z-
dc.date.available2011-08-26T14:23:26Z-
dc.date.issued2011en_HK
dc.identifier.citationActa Mechanica Sinica/Lixue Xuebao, 2011, v. 27 n. 5, p. 620-626en_HK
dc.identifier.issn0567-7718en_HK
dc.identifier.urihttp://hdl.handle.net/10722/137331-
dc.description.abstractExact doubly periodic standing wave patterns of the Davey-Stewartson (DS) equations are derived in terms of rational expressions of elliptic functions. In fluid mechanics, DS equations govern the evolution of weakly nonlinear, free surface wave packets when long wavelength modulations in two mutually perpendicular, horizontal directions are incorporated. Elliptic functions with two different moduli (periods) are necessary in the two directions. The relation between the moduli and the wave numbers constitutes the dispersion relation of such waves. In the long wave limit, localized pulses are recovered. © 2011 The Chinese Society of Theoretical and Applied Mechanics; Institute of Mechanics, Chinese Academy of Sciences and Springer-Verlag Berlin Heidelberg.en_HK
dc.languageengen_US
dc.publisherSpringer Verlag. The Journal's web site is located at http://www.springeronline.com/sgw/cda/frontpage/0,11855,1-102-70-28739617-0,00.html?changeHeader=trueen_HK
dc.relation.ispartofActa Mechanica Sinica/Lixue Xuebaoen_HK
dc.rightsThe original publication is available at www.springerlink.com-
dc.rightsCreative Commons: Attribution 3.0 Hong Kong License-
dc.subjectDavey-Stewartson equationsen_HK
dc.subjectFree surface wavesen_HK
dc.subjectPeriodic patternsen_HK
dc.titleDoubly periodic patterns of modulated hydrodynamic waves: Exact solutions of the Davey-Stewartson systemen_HK
dc.typeArticleen_HK
dc.identifier.emailChow, KW:kwchow@hku.hken_HK
dc.identifier.authorityChow, KW=rp00112en_HK
dc.description.naturepostprint-
dc.identifier.doi10.1007/s10409-011-0468-2en_HK
dc.identifier.scopuseid_2-s2.0-83555174725en_HK
dc.identifier.hkuros189597en_US
dc.relation.referenceshttp://www.scopus.com/mlt/select.url?eid=2-s2.0-83555174725&selection=ref&src=s&origin=recordpageen_HK
dc.identifier.volume27en_HK
dc.identifier.issue5en_HK
dc.identifier.spage620en_HK
dc.identifier.epage626en_HK
dc.identifier.isiWOS:000298393900002-
dc.publisher.placeGermanyen_HK
dc.identifier.scopusauthoridLi, JH=54780077200en_HK
dc.identifier.scopusauthoridLou, SY=7201944662en_HK
dc.identifier.scopusauthoridChow, KW=13605209900en_HK
dc.identifier.citeulike9811183-

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