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Article: Transmission and stability of solitary pulses in complex Ginzburg-Landau equations with variable coefficients

TitleTransmission and stability of solitary pulses in complex Ginzburg-Landau equations with variable coefficients
Authors
KeywordsCubic Complex Ginzburg-Landau Equation
Dissipative Solitons
Hirota Method
Issue Date2008
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, 2008, v. 77 n. 5 How to Cite?
AbstractA class of complex Ginzburg-Landau (CGL) equations with variable coefficients is solved exactly by means of the Hirota bilinear method. Two novel features, elaborated in recent works on the bilinear method, are incorporated. One is a modified definition of the bilinear operator, which has been used to construct pulse, hole and front solutions for equations with constant coefficients. The other is the usage of time- or space-dependent wave numbers, which was employed to handle nonlinear Schrödinger (NLS) equations with variable coefficient. One-soliton solutions of the CGL equations with variable coefficients are obtained in an analytical form. A restriction imposed by the method is that the coefficient of the second-order dispersion must be real. However, nonlinear, loss (or gain) is permitted. A simple example of an exponentially modulated dispersion profile is worked out in detail to illustrate the principle. The competition between the linear gain and nonlinear loss, and vice versa, is investigated. The analytical solutions for solitary pulses are tested in direct simulations. The amplified pulses are very robust, provided that the linear gain is reasonably small. The results may be implemented in soliton fiber lasers. ©2008 The Physical Society of Japan.
Persistent Identifierhttp://hdl.handle.net/10722/156983
ISSN
2015 Impact Factor: 1.559
2015 SCImago Journal Rankings: 0.720
ISI Accession Number ID
References

 

DC FieldValueLanguage
dc.contributor.authorChow, KWen_US
dc.contributor.authorLam, CKen_US
dc.contributor.authorNakkeeran, Ken_US
dc.contributor.authorMalomed, Ben_US
dc.date.accessioned2012-08-08T08:44:49Z-
dc.date.available2012-08-08T08:44:49Z-
dc.date.issued2008en_US
dc.identifier.citationJournal Of The Physical Society Of Japan, 2008, v. 77 n. 5en_US
dc.identifier.issn0031-9015en_US
dc.identifier.urihttp://hdl.handle.net/10722/156983-
dc.description.abstractA class of complex Ginzburg-Landau (CGL) equations with variable coefficients is solved exactly by means of the Hirota bilinear method. Two novel features, elaborated in recent works on the bilinear method, are incorporated. One is a modified definition of the bilinear operator, which has been used to construct pulse, hole and front solutions for equations with constant coefficients. The other is the usage of time- or space-dependent wave numbers, which was employed to handle nonlinear Schrödinger (NLS) equations with variable coefficient. One-soliton solutions of the CGL equations with variable coefficients are obtained in an analytical form. A restriction imposed by the method is that the coefficient of the second-order dispersion must be real. However, nonlinear, loss (or gain) is permitted. A simple example of an exponentially modulated dispersion profile is worked out in detail to illustrate the principle. The competition between the linear gain and nonlinear loss, and vice versa, is investigated. The analytical solutions for solitary pulses are tested in direct simulations. The amplified pulses are very robust, provided that the linear gain is reasonably small. The results may be implemented in soliton fiber lasers. ©2008 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.subjectCubic Complex Ginzburg-Landau Equationen_US
dc.subjectDissipative Solitonsen_US
dc.subjectHirota Methoden_US
dc.titleTransmission and stability of solitary pulses in complex Ginzburg-Landau equations with variable coefficientsen_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.77.054001en_US
dc.identifier.scopuseid_2-s2.0-54349098015en_US
dc.identifier.hkuros143434-
dc.relation.referenceshttp://www.scopus.com/mlt/select.url?eid=2-s2.0-54349098015&selection=ref&src=s&origin=recordpageen_US
dc.identifier.volume77en_US
dc.identifier.issue5en_US
dc.identifier.eissn1347-4073-
dc.identifier.isiWOS:000255998200014-
dc.publisher.placeJapanen_US
dc.identifier.scopusauthoridChow, KW=13605209900en_US
dc.identifier.scopusauthoridLam, CK=7402990801en_US
dc.identifier.scopusauthoridNakkeeran, K=7004188157en_US
dc.identifier.scopusauthoridMalomed, B=35555126200en_US

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