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Article: Propagating wave patterns for the 'resonant' Davey-Stewartson system

TitlePropagating wave patterns for the 'resonant' Davey-Stewartson system
Authors
Tang, XYChow, KWRogers, C
Issue Date2009
PublisherPergamon. The Journal's web site is located at http://www.elsevier.com/locate/chaos
Citation
Chaos, Solitons And Fractals, 2009, v. 42 n. 5, p. 2707-2712 How to Cite?
DOI: http://dx.doi.org/10.1016/j.chaos.2009.03.146
AbstractThe resonant nonlinear Schrödinger (RNLS) equation exhibits the usual cubic nonlinearity present in the classical nonlinear Schrödinger (NLS) equation together with an additional nonlinear term involving the modulus of the wave envelope. It arises in the context of the propagation of long magneto-acoustic waves in cold, collisionless plasma and in capillarity theory. Here, a natural (2 + 1) (2 spatial and 1 temporal)-dimensional version of the RNLS equation is introduced, termed the 'resonant' Davey-Stewartson system. The multi-linear variable separation approach is used to generate a class of exact solutions, which will describe propagating, doubly periodic wave patterns. © 2009 Elsevier Ltd. All rights reserved.
Persistent Identifierhttp://hdl.handle.net/10722/157017
ISSN
0960-0779
2021 Impact Factor: 9.922
2020 SCImago Journal Rankings: 1.043
ISI Accession Number ID
WOS:000269425200014
References
References in Scopus

 

DC FieldValueLanguage
dc.contributor.authorTang, XYen_US
dc.contributor.authorChow, KWen_US
dc.contributor.authorRogers, Cen_US
dc.date.accessioned2012-08-08T08:44:58Z-
dc.date.available2012-08-08T08:44:58Z-
dc.date.issued2009en_US
dc.identifier.citationChaos, Solitons And Fractals, 2009, v. 42 n. 5, p. 2707-2712en_US
dc.identifier.issn0960-0779en_US
dc.identifier.urihttp://hdl.handle.net/10722/157017-
dc.description.abstractThe resonant nonlinear Schrödinger (RNLS) equation exhibits the usual cubic nonlinearity present in the classical nonlinear Schrödinger (NLS) equation together with an additional nonlinear term involving the modulus of the wave envelope. It arises in the context of the propagation of long magneto-acoustic waves in cold, collisionless plasma and in capillarity theory. Here, a natural (2 + 1) (2 spatial and 1 temporal)-dimensional version of the RNLS equation is introduced, termed the 'resonant' Davey-Stewartson system. The multi-linear variable separation approach is used to generate a class of exact solutions, which will describe propagating, doubly periodic wave patterns. © 2009 Elsevier Ltd. All rights reserved.en_US
dc.languageengen_US
dc.publisherPergamon. The Journal's web site is located at http://www.elsevier.com/locate/chaosen_US
dc.relation.ispartofChaos, Solitons and Fractalsen_US
dc.titlePropagating wave patterns for the 'resonant' 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.doi10.1016/j.chaos.2009.03.146en_US
dc.identifier.scopuseid_2-s2.0-67651202366en_US
dc.identifier.hkuros161853-
dc.relation.referenceshttp://www.scopus.com/mlt/select.url?eid=2-s2.0-67651202366&selection=ref&src=s&origin=recordpageen_US
dc.identifier.volume42en_US
dc.identifier.issue5en_US
dc.identifier.spage2707en_US
dc.identifier.epage2712en_US
dc.identifier.isiWOS:000269425200014-
dc.publisher.placeUnited Kingdomen_US
dc.identifier.scopusauthoridTang, XY=26632378700en_US
dc.identifier.scopusauthoridChow, KW=13605209900en_US
dc.identifier.scopusauthoridRogers, C=7402363921en_US
dc.identifier.citeulike5469421-
dc.identifier.issnl0960-0779-

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