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Article: Integrable NLS equation with time-dependent nonlinear coefficient and self-similar attractive BEC

TitleIntegrable NLS equation with time-dependent nonlinear coefficient and self-similar attractive BEC
Authors
Kraenkel, RANakkeeran, KChow, KW
KeywordsBose-Einstein condensate (BEC)
Hirota bilinear method
Nonlinear Schrodinger equation
Soliton
Issue Date2011
PublisherElsevier BV. The Journal's web site is located at http://www.elsevier.com/locate/cnsns
Citation
Communications In Nonlinear Science And Numerical Simulation, 2011, v. 16 n. 1, p. 86-92 How to Cite?
DOI: http://dx.doi.org/10.1016/j.cnsns.2010.03.006
AbstractWe investigate the nonlinear Schrödinger equation with a time-dependent nonlinear coefficient. By means of Painlevé analysis we establish the integrability for a particular form of the nonlinear coefficient. The corresponding soliton solution is shown to be of the self-similar kind. We discuss the implications of the result to the dynamics of attractive Bose-Einstein condensates under Feshbach-managed nonlinearity and explore the possibility of a managed self-similar evolution in 1D condensates. © 2010 Elsevier B.V.
Persistent Identifierhttp://hdl.handle.net/10722/65602
ISSN
1007-5704
2021 Impact Factor: 4.186
2020 SCImago Journal Rankings: 1.159
ISI Accession Number ID
WOS:000282154900007
Funding AgencyGrant Number
CNPq (Brazil)
Royal Society
Research Grants Council of the Hong Kong Special Administrative Region, ChinaHKU 7120/08E
HKU 7118/07E
Funding Information:

R.A.K. thanks CNPq (Brazil) for partial financial support. The authors wish to thank The Royal Society for their support in the form of an International joint Project Grant. Partial financial support has been provided by the Research Grants Council of the Hong Kong Special Administrative Region, China to K.W.C. through contracts HKU 7120/08E and HKU 7118/07E.

References
References in Scopus

 

DC FieldValueLanguage
dc.contributor.authorKraenkel, RAen_HK
dc.contributor.authorNakkeeran, Ken_HK
dc.contributor.authorChow, KWen_HK
dc.date.accessioned2010-09-03T06:50:03Z-
dc.date.available2010-09-03T06:50:03Z-
dc.date.issued2011en_HK
dc.identifier.citationCommunications In Nonlinear Science And Numerical Simulation, 2011, v. 16 n. 1, p. 86-92en_HK
dc.identifier.issn1007-5704en_HK
dc.identifier.urihttp://hdl.handle.net/10722/65602-
dc.description.abstractWe investigate the nonlinear Schrödinger equation with a time-dependent nonlinear coefficient. By means of Painlevé analysis we establish the integrability for a particular form of the nonlinear coefficient. The corresponding soliton solution is shown to be of the self-similar kind. We discuss the implications of the result to the dynamics of attractive Bose-Einstein condensates under Feshbach-managed nonlinearity and explore the possibility of a managed self-similar evolution in 1D condensates. © 2010 Elsevier B.V.en_HK
dc.languageeng-
dc.publisherElsevier BV. The Journal's web site is located at http://www.elsevier.com/locate/cnsnsen_HK
dc.relation.ispartofCommunications in Nonlinear Science and Numerical Simulationen_HK
dc.rightsCommunications in Nonlinear Science and Numerical Simulation. Copyright © Elsevier BV.-
dc.rightsThis work is licensed under a Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.-
dc.subjectBose-Einstein condensate (BEC)en_HK
dc.subjectHirota bilinear methoden_HK
dc.subjectNonlinear Schrodinger equationen_HK
dc.subjectSolitonen_HK
dc.titleIntegrable NLS equation with time-dependent nonlinear coefficient and self-similar attractive BECen_HK
dc.typeArticleen_HK
dc.identifier.openurlhttp://library.hku.hk:4550/resserv?sid=HKU:IR&issn=1007-5704&volume=16&issue=1&spage=86&epage=92&date=2011&atitle=Integrable+NLS+equation+with+time+dependent+nonlinear+coefficient+and+self-similar+attractive+BEC-
dc.identifier.emailChow, KW:kwchow@hku.hken_HK
dc.identifier.authorityChow, KW=rp00112en_HK
dc.description.naturepostprint-
dc.identifier.doi10.1016/j.cnsns.2010.03.006en_HK
dc.identifier.scopuseid_2-s2.0-77955924830en_HK
dc.identifier.hkuros170643-
dc.relation.referenceshttp://www.scopus.com/mlt/select.url?eid=2-s2.0-77955924830&selection=ref&src=s&origin=recordpageen_HK
dc.identifier.volume16en_HK
dc.identifier.issue1en_HK
dc.identifier.spage86en_HK
dc.identifier.epage92en_HK
dc.identifier.isiWOS:000282154900007-
dc.publisher.placeNetherlandsen_HK
dc.identifier.scopusauthoridKraenkel, RA=35612664500en_HK
dc.identifier.scopusauthoridNakkeeran, K=7004188157en_HK
dc.identifier.scopusauthoridChow, KW=13605209900en_HK
dc.identifier.citeulike6883292-
dc.identifier.issnl1007-5704-

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