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Article: Doubly periodic patterns of modulated hydrodynamic waves: Exact solutions of the Davey-Stewartson system
Title | Doubly periodic patterns of modulated hydrodynamic waves: Exact solutions of the Davey-Stewartson system | ||||
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Authors | |||||
Keywords | Davey-Stewartson equations Free surface waves Periodic patterns | ||||
Issue Date | 2011 | ||||
Publisher | Springer 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? | ||||
Abstract | Exact 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 Identifier | http://hdl.handle.net/10722/137331 | ||||
ISSN | 2023 Impact Factor: 3.8 2023 SCImago Journal Rankings: 0.809 | ||||
ISI Accession Number ID |
Funding Information: The financial support of the Hong Kong Research Grants Council through contracts 711807E and 712008E is gratefully acknowledged. | ||||
References |
DC Field | Value | Language |
---|---|---|
dc.contributor.author | Li, JH | en_HK |
dc.contributor.author | Lou, SY | en_HK |
dc.contributor.author | Chow, KW | en_HK |
dc.date.accessioned | 2011-08-26T14:23:26Z | - |
dc.date.available | 2011-08-26T14:23:26Z | - |
dc.date.issued | 2011 | en_HK |
dc.identifier.citation | Acta Mechanica Sinica/Lixue Xuebao, 2011, v. 27 n. 5, p. 620-626 | en_HK |
dc.identifier.issn | 0567-7718 | en_HK |
dc.identifier.uri | http://hdl.handle.net/10722/137331 | - |
dc.description.abstract | Exact 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.language | eng | en_US |
dc.publisher | Springer 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 | en_HK |
dc.relation.ispartof | Acta Mechanica Sinica/Lixue Xuebao | en_HK |
dc.rights | The original publication is available at www.springerlink.com | - |
dc.subject | Davey-Stewartson equations | en_HK |
dc.subject | Free surface waves | en_HK |
dc.subject | Periodic patterns | en_HK |
dc.title | Doubly periodic patterns of modulated hydrodynamic waves: Exact solutions of the Davey-Stewartson system | en_HK |
dc.type | Article | en_HK |
dc.identifier.email | Chow, KW:kwchow@hku.hk | en_HK |
dc.identifier.authority | Chow, KW=rp00112 | en_HK |
dc.description.nature | postprint | - |
dc.identifier.doi | 10.1007/s10409-011-0468-2 | en_HK |
dc.identifier.scopus | eid_2-s2.0-83555174725 | en_HK |
dc.identifier.hkuros | 189597 | en_US |
dc.relation.references | http://www.scopus.com/mlt/select.url?eid=2-s2.0-83555174725&selection=ref&src=s&origin=recordpage | en_HK |
dc.identifier.volume | 27 | en_HK |
dc.identifier.issue | 5 | en_HK |
dc.identifier.spage | 620 | en_HK |
dc.identifier.epage | 626 | en_HK |
dc.identifier.isi | WOS:000298393900002 | - |
dc.publisher.place | Germany | en_HK |
dc.identifier.scopusauthorid | Li, JH=54780077200 | en_HK |
dc.identifier.scopusauthorid | Lou, SY=7201944662 | en_HK |
dc.identifier.scopusauthorid | Chow, KW=13605209900 | en_HK |
dc.identifier.citeulike | 9811183 | - |
dc.identifier.issnl | 0567-7718 | - |