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Article: Some novel nonlinear coherent excitations of the Davey-Stewartson system

TitleSome novel nonlinear coherent excitations of the Davey-Stewartson system
Authors
Issue Date2005
PublisherInstitute of Physics Publishing. The Journal's web site is located at http://www.iop.org/journals/jpa
Citation
Journal Of Physics A: Mathematical And General, 2005, v. 38 n. 48, p. 10361-10375 How to Cite?
AbstractExact solutions of many integrable (2 + 1) (2 spatial and 1 temporal) dimensional systems of nonlinear evolution equations, e.g., the Davey-Stewartson model, can be obtained by a special separation of variables procedure. By choosing the Jacobi elliptic functions as the building blocks, exact, doubly periodic solutions are obtained analytically. Here, two sets of elliptic functions with two different, independent moduli are employed, and the resulting wave packets are expressed as rational functions of elliptic functions. By taking the long wave limit in one spatial variable, peculiar wave patterns localized in one direction, but periodic in the other direction, will arise. By taking the long wave limit in both spatial variables, exponentially localized wave patterns which differ from the known dromions will result. The boundary conditions relating to these localized structures are studied. © 2005 IOP Publishing Ltd.
Persistent Identifierhttp://hdl.handle.net/10722/75507
ISSN
2006 Impact Factor: 1.577
ISI Accession Number ID
References

 

DC FieldValueLanguage
dc.contributor.authorTang, XYen_HK
dc.contributor.authorChow, KWen_HK
dc.contributor.authorLou, SYen_HK
dc.date.accessioned2010-09-06T07:11:51Z-
dc.date.available2010-09-06T07:11:51Z-
dc.date.issued2005en_HK
dc.identifier.citationJournal Of Physics A: Mathematical And General, 2005, v. 38 n. 48, p. 10361-10375en_HK
dc.identifier.issn0305-4470en_HK
dc.identifier.urihttp://hdl.handle.net/10722/75507-
dc.description.abstractExact solutions of many integrable (2 + 1) (2 spatial and 1 temporal) dimensional systems of nonlinear evolution equations, e.g., the Davey-Stewartson model, can be obtained by a special separation of variables procedure. By choosing the Jacobi elliptic functions as the building blocks, exact, doubly periodic solutions are obtained analytically. Here, two sets of elliptic functions with two different, independent moduli are employed, and the resulting wave packets are expressed as rational functions of elliptic functions. By taking the long wave limit in one spatial variable, peculiar wave patterns localized in one direction, but periodic in the other direction, will arise. By taking the long wave limit in both spatial variables, exponentially localized wave patterns which differ from the known dromions will result. The boundary conditions relating to these localized structures are studied. © 2005 IOP Publishing Ltd.en_HK
dc.languageengen_HK
dc.publisherInstitute of Physics Publishing. The Journal's web site is located at http://www.iop.org/journals/jpaen_HK
dc.relation.ispartofJournal of Physics A: Mathematical and Generalen_HK
dc.titleSome novel nonlinear coherent excitations of the Davey-Stewartson systemen_HK
dc.typeArticleen_HK
dc.identifier.openurlhttp://library.hku.hk:4550/resserv?sid=HKU:IR&issn=1543-3080&volume=38&spage=10361&epage=10375&date=2005&atitle=Some+novel+nonlinear+coherent+excitations+of+the+Davey-Stewartson+systemen_HK
dc.identifier.emailChow, KW:kwchow@hku.hken_HK
dc.identifier.authorityChow, KW=rp00112en_HK
dc.description.naturelink_to_subscribed_fulltext-
dc.identifier.doi10.1088/0305-4470/38/48/008en_HK
dc.identifier.scopuseid_2-s2.0-27844516571en_HK
dc.identifier.hkuros111284en_HK
dc.relation.referenceshttp://www.scopus.com/mlt/select.url?eid=2-s2.0-27844516571&selection=ref&src=s&origin=recordpageen_HK
dc.identifier.volume38en_HK
dc.identifier.issue48en_HK
dc.identifier.spage10361en_HK
dc.identifier.epage10375en_HK
dc.identifier.isiWOS:000233980600010-
dc.publisher.placeUnited Kingdomen_HK
dc.identifier.scopusauthoridTang, XY=26632378700en_HK
dc.identifier.scopusauthoridChow, KW=13605209900en_HK
dc.identifier.scopusauthoridLou, SY=7201944662en_HK
dc.identifier.citeulike401216-

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