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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
Chow, KWLai, DWC
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?
DOI: http://dx.doi.org/10.1143/JPSJ.67.3721
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
0031-9015
2021 Impact Factor: 1.933
2020 SCImago Journal Rankings: 0.760
ISI Accession Number ID
WOS:000077364800019
References
References in Scopus

 

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. 3721-3728-
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.doi10.1143/JPSJ.67.3721-
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.identifier.isiWOS:000077364800019-
dc.publisher.placeJapanen_US
dc.identifier.scopusauthoridChow, KW=13605209900en_US
dc.identifier.scopusauthoridLai, DWC=7102862481en_US
dc.identifier.issnl0031-9015-

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