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Article: Coalescence of Wavenumbers and Exact Solutions for a System of Coupled Nonlinear Schrödinger Equations

TitleCoalescence of Wavenumbers and Exact Solutions for a System of Coupled Nonlinear Schrödinger Equations
Authors
KeywordsBilinear Transformation
Nonlinear Evolution Equations
Solitons
Issue Date1998
PublisherInstitute of Pure and Applied Physics. The Journal's web site is located at http://www.ipap.jp/jpsj/index.htm
Citation
Journal Of The Physical Society Of Japan, 1998, v. 67 n. 11, p. 3721-3728 How to Cite?
AbstractAn exact 2-soliton expression is obtained for the Manakov system, a special, coupled set of nonlinear Schrödinger equations. The solution permits different asymptotic states for the components in the far field. A 'coalescence' of wavenumbers is considered from the perspective of the Hirota bilinear operator. This is roughly equivalent to a double (or in general multiple) pole solution in the language of the inverse scattering transform. Physically counterpropagating waves will occur. With the help of computer algebra software a 3-soliton solution is derived. Coalescence of eigenvalues is investigated. Temporal modulation of the amplitude is observed.
Persistent Identifierhttp://hdl.handle.net/10722/156668
ISSN
2015 Impact Factor: 1.559
2015 SCImago Journal Rankings: 0.720
References

 

DC FieldValueLanguage
dc.contributor.authorChow, KWen_US
dc.contributor.authorLai, DWCen_US
dc.date.accessioned2012-08-08T08:43:27Z-
dc.date.available2012-08-08T08:43:27Z-
dc.date.issued1998en_US
dc.identifier.citationJournal Of The Physical Society Of Japan, 1998, v. 67 n. 11, p. 3721-3728en_US
dc.identifier.issn0031-9015en_US
dc.identifier.urihttp://hdl.handle.net/10722/156668-
dc.description.abstractAn exact 2-soliton expression is obtained for the Manakov system, a special, coupled set of nonlinear Schrödinger equations. The solution permits different asymptotic states for the components in the far field. A 'coalescence' of wavenumbers is considered from the perspective of the Hirota bilinear operator. This is roughly equivalent to a double (or in general multiple) pole solution in the language of the inverse scattering transform. Physically counterpropagating waves will occur. With the help of computer algebra software a 3-soliton solution is derived. Coalescence of eigenvalues is investigated. Temporal modulation of the amplitude is observed.en_US
dc.languageengen_US
dc.publisherInstitute of Pure and Applied Physics. The Journal's web site is located at http://www.ipap.jp/jpsj/index.htmen_US
dc.relation.ispartofJournal of the Physical Society of Japanen_US
dc.subjectBilinear Transformationen_US
dc.subjectNonlinear Evolution Equationsen_US
dc.subjectSolitonsen_US
dc.titleCoalescence of Wavenumbers and Exact Solutions for a System of Coupled Nonlinear Schrödinger 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.scopuseid_2-s2.0-0038124595en_US
dc.relation.referenceshttp://www.scopus.com/mlt/select.url?eid=2-s2.0-0038124595&selection=ref&src=s&origin=recordpageen_US
dc.identifier.volume67en_US
dc.identifier.issue11en_US
dc.identifier.spage3721en_US
dc.identifier.epage3728en_US
dc.publisher.placeJapanen_US
dc.identifier.scopusauthoridChow, KW=13605209900en_US
dc.identifier.scopusauthoridLai, DWC=7102862481en_US

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