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Article: Rational function representations of wave patterns in higher-dimensional and discrete evolution equations

TitleRational function representations of wave patterns in higher-dimensional and discrete evolution equations
Authors
Chow, KW
Keywords02.30.Jr
45.05.+x
46.40.Cd
Discrete evolution equations
Elliptic functions
Hirota bilinear method
Issue Date2004
PublisherElsevier BV. The Journal's web site is located at http://www.elsevier.com/locate/physleta
Citation
Physics Letters, Section A: General, Atomic And Solid State Physics, 2004, v. 326 n. 5-6, p. 404-411 How to Cite?
DOI: http://dx.doi.org/10.1016/j.physleta.2004.04.074
AbstractA class of periodic waves of nonlinear evolution equations (NEEs) can be expressed as rational functions of elliptic functions. A combination of the Hirota bilinear method and theta functions is demonstrated to be effective in calculating such waves. Examples of applications are NEEs in higher spatial dimensions and discrete NEEs. © 2004 Elsevier B.V. All rights reserved.
Persistent Identifierhttp://hdl.handle.net/10722/76174
ISSN
0375-9601
2021 Impact Factor: 2.707
2020 SCImago Journal Rankings: 0.499
ISI Accession Number ID
WOS:000222037700017
References
References in Scopus

 

DC FieldValueLanguage
dc.contributor.authorChow, KWen_HK
dc.date.accessioned2010-09-06T07:18:21Z-
dc.date.available2010-09-06T07:18:21Z-
dc.date.issued2004en_HK
dc.identifier.citationPhysics Letters, Section A: General, Atomic And Solid State Physics, 2004, v. 326 n. 5-6, p. 404-411en_HK
dc.identifier.issn0375-9601en_HK
dc.identifier.urihttp://hdl.handle.net/10722/76174-
dc.description.abstractA class of periodic waves of nonlinear evolution equations (NEEs) can be expressed as rational functions of elliptic functions. A combination of the Hirota bilinear method and theta functions is demonstrated to be effective in calculating such waves. Examples of applications are NEEs in higher spatial dimensions and discrete NEEs. © 2004 Elsevier B.V. All rights reserved.en_HK
dc.languageengen_HK
dc.publisherElsevier BV. The Journal's web site is located at http://www.elsevier.com/locate/physletaen_HK
dc.relation.ispartofPhysics Letters, Section A: General, Atomic and Solid State Physicsen_HK
dc.rightsPhysics Letters Section A: General, Atomic and Solid State Physics. Copyright © Elsevier BV.en_HK
dc.subject02.30.Jren_HK
dc.subject45.05.+xen_HK
dc.subject46.40.Cden_HK
dc.subjectDiscrete evolution equationsen_HK
dc.subjectElliptic functionsen_HK
dc.subjectHirota bilinear methoden_HK
dc.titleRational function representations of wave patterns in higher-dimensional and discrete evolution equationsen_HK
dc.typeArticleen_HK
dc.identifier.openurlhttp://library.hku.hk:4550/resserv?sid=HKU:IR&issn=0375-9601&volume=326&spage=404&epage=411&date=2004&atitle=Rational+function+representations+of+wave+patterns+in+higher-dimensional+and+discrete+evolution+equationsen_HK
dc.identifier.emailChow, KW:kwchow@hku.hken_HK
dc.identifier.authorityChow, KW=rp00112en_HK
dc.description.naturelink_to_subscribed_fulltext-
dc.identifier.doi10.1016/j.physleta.2004.04.074en_HK
dc.identifier.scopuseid_2-s2.0-2942532725en_HK
dc.identifier.hkuros90339en_HK
dc.relation.referenceshttp://www.scopus.com/mlt/select.url?eid=2-s2.0-2942532725&selection=ref&src=s&origin=recordpageen_HK
dc.identifier.volume326en_HK
dc.identifier.issue5-6en_HK
dc.identifier.spage404en_HK
dc.identifier.epage411en_HK
dc.identifier.isiWOS:000222037700017-
dc.publisher.placeNetherlandsen_HK
dc.identifier.scopusauthoridChow, KW=13605209900en_HK
dc.identifier.issnl0375-9601-

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