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Article: Exact stationary wave patterns in three coupled nonlinear Schrödinger/Gross-Pitaevskii equations

TitleExact stationary wave patterns in three coupled nonlinear Schrödinger/Gross-Pitaevskii equations
Authors
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. 3013-3019 How to Cite?
AbstractThe evolution of a Bose-Einstein condensate (BEC) with an internal degree of freedom, i.e., spinor BEC, is governed by a system of three coupled mean-field equations. The system admits the application of the inverse scattering transform and Hirota bilinear method under appropriate conditions, which makes it possible to generate exact analytical solutions relevant to physical applications. Here, we produce six families of exact periodic solutions, directly constructed in terms of Jacobi elliptic functions. Solitary-wave limit forms, obtained from these solutions in the long-wave limit, are presented too. © 2009.
Persistent Identifierhttp://hdl.handle.net/10722/157018
ISSN
2015 Impact Factor: 1.611
2015 SCImago Journal Rankings: 0.679
ISI Accession Number ID
Funding AgencyGrant Number
NKBRP of China2004CB318000
NNSF of China60821002/F02
Research Grants Council of Hong KongHKU 7128/05E
HKU 7118/07E
Funding Information:

This work was partially supported by the NKBRP of China (No. 2004CB318000), NNSF of China (No. 60821002/F02), and the Research Grants Council of Hong Kong contracts HKU 7128/05E and HKU 7118/07E.

References

 

DC FieldValueLanguage
dc.contributor.authorYan, Zen_US
dc.contributor.authorChow, KWen_US
dc.contributor.authorMalomed, BAen_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. 3013-3019en_US
dc.identifier.issn0960-0779en_US
dc.identifier.urihttp://hdl.handle.net/10722/157018-
dc.description.abstractThe evolution of a Bose-Einstein condensate (BEC) with an internal degree of freedom, i.e., spinor BEC, is governed by a system of three coupled mean-field equations. The system admits the application of the inverse scattering transform and Hirota bilinear method under appropriate conditions, which makes it possible to generate exact analytical solutions relevant to physical applications. Here, we produce six families of exact periodic solutions, directly constructed in terms of Jacobi elliptic functions. Solitary-wave limit forms, obtained from these solutions in the long-wave limit, are presented too. © 2009.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.titleExact stationary wave patterns in three coupled nonlinear Schrödinger/Gross-Pitaevskii equationsen_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.2009.04.043en_US
dc.identifier.scopuseid_2-s2.0-67651211460en_US
dc.identifier.hkuros161854-
dc.relation.referenceshttp://www.scopus.com/mlt/select.url?eid=2-s2.0-67651211460&selection=ref&src=s&origin=recordpageen_US
dc.identifier.volume42en_US
dc.identifier.issue5en_US
dc.identifier.spage3013en_US
dc.identifier.epage3019en_US
dc.identifier.isiWOS:000269425200052-
dc.publisher.placeUnited Kingdomen_US
dc.identifier.scopusauthoridYan, Z=7402519665en_US
dc.identifier.scopusauthoridChow, KW=13605209900en_US
dc.identifier.scopusauthoridMalomed, BA=35555126200en_US
dc.identifier.citeulike5396482-

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