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Article: Periodic solutions for systems of coupled nonlinear Schrödinger equations with five and six components

TitlePeriodic solutions for systems of coupled nonlinear Schrödinger equations with five and six components
Authors
Chow, KWLai, DWC
KeywordsPhysics
Issue Date2002
PublisherAmerican Physical Society. The Journal's web site is located at http://pre.aps.org
Citation
Physical Review E (Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics), 2002, v. 65 n. 2, article no. 026613 , p. 1-9 How to Cite?
DOI: http://dx.doi.org/10.1103/PhysRevE.65.026613
AbstractSystems of coupled nonlinear Schrödinger (CNLS) equations arise in several branches of physics, e.g., optics and plasma physics. Systems with two or three components have been studied intensively. Recently periodic solutions for CNLS systems with four components are derived. The present work extends the search of periodic solutions for CNLS systems to those with five and six components. The Hirota bilinear method, theta and elliptic functions are employed in the process. The long wave limit is studied, and known results of solitary waves are recovered. The validity of these periodic solutions is verified independently by direct differentiation with computer algebra software. ©2002 The American Physical Society.
Persistent Identifierhttp://hdl.handle.net/10722/43039
ISSN
1063-651X
ISI Accession Number ID
WOS:000174038300109
References
References in Scopus

 

DC FieldValueLanguage
dc.contributor.authorChow, KWen_HK
dc.contributor.authorLai, DWCen_HK
dc.date.accessioned2007-03-23T04:37:25Z-
dc.date.available2007-03-23T04:37:25Z-
dc.date.issued2002en_HK
dc.identifier.citationPhysical Review E (Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics), 2002, v. 65 n. 2, article no. 026613 , p. 1-9-
dc.identifier.issn1063-651X-
dc.identifier.urihttp://hdl.handle.net/10722/43039-
dc.description.abstractSystems of coupled nonlinear Schrödinger (CNLS) equations arise in several branches of physics, e.g., optics and plasma physics. Systems with two or three components have been studied intensively. Recently periodic solutions for CNLS systems with four components are derived. The present work extends the search of periodic solutions for CNLS systems to those with five and six components. The Hirota bilinear method, theta and elliptic functions are employed in the process. The long wave limit is studied, and known results of solitary waves are recovered. The validity of these periodic solutions is verified independently by direct differentiation with computer algebra software. ©2002 The American Physical Society.en_HK
dc.format.extent127269 bytes-
dc.format.extent25600 bytes-
dc.format.mimetypeapplication/pdf-
dc.format.mimetypeapplication/msword-
dc.languageengen_HK
dc.publisherAmerican Physical Society. The Journal's web site is located at http://pre.aps.orgen_HK
dc.relation.ispartofPhysical Review E (Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics)-
dc.rightsCopyright 2002 by The American Physical Society. This article is available online at https://doi.org/10.1103/PhysRevE.65.026613-
dc.subjectPhysicsen_HK
dc.titlePeriodic solutions for systems of coupled nonlinear Schrödinger equations with five and six componentsen_HK
dc.typeArticleen_HK
dc.identifier.openurlhttp://library.hku.hk:4550/resserv?sid=HKU:IR&issn=1539-3755&volume=65&issue=2&spage=026613:1&epage=9&date=2002&atitle=Periodic+solutions+for+systems+of+coupled+nonlinear+Schrödinger+equations+with+five+and+six+componentsen_HK
dc.identifier.emailChow, KW:kwchow@hku.hken_HK
dc.identifier.authorityChow, KW=rp00112en_HK
dc.description.naturepublished_or_final_versionen_HK
dc.identifier.doi10.1103/PhysRevE.65.026613en_HK
dc.identifier.scopuseid_2-s2.0-37649032160en_HK
dc.relation.referenceshttp://www.scopus.com/mlt/select.url?eid=2-s2.0-37649032160&selection=ref&src=s&origin=recordpageen_HK
dc.identifier.volume65en_HK
dc.identifier.issue2en_HK
dc.identifier.spagearticle no. 026613, p. 1-
dc.identifier.epagearticle no. 026613, p. 9-
dc.identifier.isiWOS:000174038300109-
dc.publisher.placeUnited Statesen_HK
dc.identifier.scopusauthoridChow, KW=13605209900en_HK
dc.identifier.scopusauthoridLai, DWC=7102862481en_HK
dc.identifier.issnl1063-651X-

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