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Article: Exact solutions for domain walls in coupled complex Ginzburg-Landau equations

TitleExact solutions for domain walls in coupled complex Ginzburg-Landau equations
Authors
KeywordsBekki-Nozaki Modified Hirota Bilinear Operator
Complex Ginzburg-Landau Equations
Fronts
Kinks
Shocks
Issue Date2011
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, 2011, v. 80 n. 6 How to Cite?
AbstractThe complex Ginzburg-Landau equation (CGLE) is a ubiquitous model for the evolution of slowly varying wave packets in nonlinear dissipative media. A front (shock) is a transient layer between a plane-wave state and a zero background. We report exact solutions for domain walls, i.e., pairs of fronts with opposite polarities, in a system of two coupled CGLEs, which describe transient layers between semi-infinite domains occupied by each component in the absence of the other one. For this purpose, a modified Hirota bilinear operator, first proposed by Bekki and Nozaki, is employed. A novel factorization procedure is applied to reduce the intermediate calculations considerably. The ensuing system of equations for the amplitudes and frequencies is solved by means of computer-assisted algebra. Exact solutions for mutually-locked front pairs of opposite polarities, with one or several free parameters, are thus generated. The signs of the cubic gain/loss, linear amplification/attenuation, and velocity of the coupled-front complex can be adjusted in a variety of configurations. Numerical simulations are performed to study the stability properties of such fronts. © 2011 The Physical Society of Japan.
Persistent Identifierhttp://hdl.handle.net/10722/157121
ISSN
2015 Impact Factor: 1.559
2015 SCImago Journal Rankings: 0.720
ISI Accession Number ID
References

 

DC FieldValueLanguage
dc.contributor.authorYee, TLen_US
dc.contributor.authorTsang, ACHen_US
dc.contributor.authorMalomed, Ben_US
dc.contributor.authorChow, WWen_US
dc.date.accessioned2012-08-08T08:45:25Z-
dc.date.available2012-08-08T08:45:25Z-
dc.date.issued2011en_US
dc.identifier.citationJournal Of The Physical Society Of Japan, 2011, v. 80 n. 6en_US
dc.identifier.issn0031-9015en_US
dc.identifier.urihttp://hdl.handle.net/10722/157121-
dc.description.abstractThe complex Ginzburg-Landau equation (CGLE) is a ubiquitous model for the evolution of slowly varying wave packets in nonlinear dissipative media. A front (shock) is a transient layer between a plane-wave state and a zero background. We report exact solutions for domain walls, i.e., pairs of fronts with opposite polarities, in a system of two coupled CGLEs, which describe transient layers between semi-infinite domains occupied by each component in the absence of the other one. For this purpose, a modified Hirota bilinear operator, first proposed by Bekki and Nozaki, is employed. A novel factorization procedure is applied to reduce the intermediate calculations considerably. The ensuing system of equations for the amplitudes and frequencies is solved by means of computer-assisted algebra. Exact solutions for mutually-locked front pairs of opposite polarities, with one or several free parameters, are thus generated. The signs of the cubic gain/loss, linear amplification/attenuation, and velocity of the coupled-front complex can be adjusted in a variety of configurations. Numerical simulations are performed to study the stability properties of such fronts. © 2011 The Physical Society of Japan.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.subjectBekki-Nozaki Modified Hirota Bilinear Operatoren_US
dc.subjectComplex Ginzburg-Landau Equationsen_US
dc.subjectFrontsen_US
dc.subjectKinksen_US
dc.subjectShocksen_US
dc.titleExact solutions for domain walls in coupled complex Ginzburg-Landau equationsen_US
dc.typeArticleen_US
dc.identifier.emailChow, WW:kwchow@hku.hken_US
dc.identifier.authorityChow, WW=rp00112en_US
dc.description.naturelink_to_subscribed_fulltexten_US
dc.identifier.doi10.1143/JPSJ.80.064001en_US
dc.identifier.scopuseid_2-s2.0-79958807339en_US
dc.identifier.hkuros189594-
dc.relation.referenceshttp://www.scopus.com/mlt/select.url?eid=2-s2.0-79958807339&selection=ref&src=s&origin=recordpageen_US
dc.identifier.volume80en_US
dc.identifier.issue6en_US
dc.identifier.isiWOS:000291430000012-
dc.publisher.placeJapanen_US
dc.identifier.scopusauthoridYee, TL=7006852132en_US
dc.identifier.scopusauthoridTsang, ACH=39962815500en_US
dc.identifier.scopusauthoridMalomed, B=35555126200en_US
dc.identifier.scopusauthoridChow, WW=13605209900en_US

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