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Conference Paper: Periodic solutions of a derivative nonlinear Schrödinger equation: Elliptic integrals of the third kind

TitlePeriodic solutions of a derivative nonlinear Schrödinger equation: Elliptic integrals of the third kind
Authors
KeywordsDerivative nonlinear Schrödinger (ChenLeeLiu) equation
Elliptic integrals of the third kind
Issue Date2011
PublisherElsevier BV. The Journal's web site is located at http://www.elsevier.com/locate/cam
Citation
Journal Of Computational And Applied Mathematics, 2011, v. 235 n. 13, p. 3825-3830 How to Cite?
AbstractThe nonlinear Schrödinger equation (NLSE) is an important model for wave packet dynamics in hydrodynamics, optics, plasma physics and many other physical disciplines. The 'derivative' NLSE family usually arises when further nonlinear effects must be incorporated. The periodic solutions of one such member, the Chen-Lee-Liu equation, are studied. More precisely, the complex envelope is separated into the absolute value and the phase. The absolute value is solved in terms of a polynomial in elliptic functions while the phase is expressed in terms of elliptic integrals of the third kind. The exact periodicity condition will imply that only a countable set of elliptic function moduli is allowed. This feature contrasts sharply with other periodic solutions of envelope equations, where a continuous range of elliptic function moduli is permitted. © 2011 Elsevier B.V. All rights reserved.
DescriptionInternational Conference on Engineering and Computational Mathematics, The Hong Kong Polytechnic University, Hong Kong, 27–29 May 2009
Persistent Identifierhttp://hdl.handle.net/10722/144764
ISSN
2015 Impact Factor: 1.328
2015 SCImago Journal Rankings: 1.089
ISI Accession Number ID
References

 

DC FieldValueLanguage
dc.contributor.authorChow, KWen_HK
dc.contributor.authorNg, TWen_HK
dc.date.accessioned2012-02-03T09:36:58Z-
dc.date.available2012-02-03T09:36:58Z-
dc.date.issued2011en_HK
dc.identifier.citationJournal Of Computational And Applied Mathematics, 2011, v. 235 n. 13, p. 3825-3830en_HK
dc.identifier.issn0377-0427en_HK
dc.identifier.urihttp://hdl.handle.net/10722/144764-
dc.descriptionInternational Conference on Engineering and Computational Mathematics, The Hong Kong Polytechnic University, Hong Kong, 27–29 May 2009-
dc.description.abstractThe nonlinear Schrödinger equation (NLSE) is an important model for wave packet dynamics in hydrodynamics, optics, plasma physics and many other physical disciplines. The 'derivative' NLSE family usually arises when further nonlinear effects must be incorporated. The periodic solutions of one such member, the Chen-Lee-Liu equation, are studied. More precisely, the complex envelope is separated into the absolute value and the phase. The absolute value is solved in terms of a polynomial in elliptic functions while the phase is expressed in terms of elliptic integrals of the third kind. The exact periodicity condition will imply that only a countable set of elliptic function moduli is allowed. This feature contrasts sharply with other periodic solutions of envelope equations, where a continuous range of elliptic function moduli is permitted. © 2011 Elsevier B.V. All rights reserved.en_HK
dc.languageeng-
dc.publisherElsevier BV. The Journal's web site is located at http://www.elsevier.com/locate/camen_HK
dc.relation.ispartofJournal of Computational and Applied Mathematicsen_HK
dc.rightsNOTICE: this is the author’s version of a work that was accepted for publication in Journal of Computational and Applied Mathematics. Changes resulting from the publishing process, such as peer review, editing, corrections, structural formatting, and other quality control mechanisms may not be reflected in this document. Changes may have been made to this work since it was submitted for publication. A definitive version was subsequently published in Journal of Computational and Applied Mathematics, [VOL 235, ISSUE 13, 2011] DOI 10.1016/j.cam.2011.01.029-
dc.rightsCreative Commons: Attribution 3.0 Hong Kong License-
dc.subjectDerivative nonlinear Schrödinger (ChenLeeLiu) equationen_HK
dc.subjectElliptic integrals of the third kinden_HK
dc.titlePeriodic solutions of a derivative nonlinear Schrödinger equation: Elliptic integrals of the third kinden_HK
dc.typeConference_Paperen_HK
dc.identifier.emailChow, KW:kwchow@hku.hken_HK
dc.identifier.emailNg, TW:ntw@maths.hku.hken_HK
dc.identifier.authorityChow, KW=rp00112en_HK
dc.identifier.authorityNg, TW=rp00768en_HK
dc.description.naturepostprint-
dc.identifier.doi10.1016/j.cam.2011.01.029en_HK
dc.identifier.scopuseid_2-s2.0-79955570574en_HK
dc.identifier.hkuros185514-
dc.relation.referenceshttp://www.scopus.com/mlt/select.url?eid=2-s2.0-79955570574&selection=ref&src=s&origin=recordpageen_HK
dc.identifier.volume235en_HK
dc.identifier.issue13en_HK
dc.identifier.spage3825en_HK
dc.identifier.epage3830en_HK
dc.identifier.isiWOS:000291285500016-
dc.publisher.placeNetherlandsen_HK
dc.identifier.scopusauthoridChow, KW=13605209900en_HK
dc.identifier.scopusauthoridNg, TW=7402229732en_HK
dc.identifier.citeulike8747615-

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