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Article: Solitons pinned to hot spots

TitleSolitons pinned to hot spots
Authors
Issue Date2010
PublisherSpringer Verlag. The Journal's web site is located at http://link.springer.de/link/service/journals/10053/
Citation
European Physical Journal D, 2010, v. 59 n. 1, p. 81-89 How to Cite?
AbstractWe generalize a recently proposed model based on the cubic complex Ginzburg-Landau (CGL) equation, which gives rise to stable dissipative solitons supported by localized gain applied at a "hot spot" (HS), in the presence of the linear loss in the bulk. We introduce a model with the Kerr nonlinearity concentrated at the HS, together with the local gain and, possibly, with the local nonlinear loss. The model, which may be implemented in laser cavities based on planar waveguides, gives rise to exact solutions for pinned dissipative solitons. In the case when the HS does not include the localized nonlinear loss, numerical tests demonstrate that these solitons are stable/unstable if the localized nonlinearity is selfdefocusing/ focusing. Another new setting considered in this work is a pair of two symmetric HSs. We find exact asymmetric solutions for it, although they are unstable. Numerical simulations demonstrate that stable modes supported by the HS pair tend to be symmetric. An unexpected conclusion is that the interaction between breathers pinned to two broad HSs, which are the only stable modes in isolation in that case, transforms them into a static symmetric mode. © EDP Sciences, Societá Italiana di Fisica, Springer-Verlag 2010.
Persistent Identifierhttp://hdl.handle.net/10722/145806
ISSN
2015 Impact Factor: 1.208
2015 SCImago Journal Rankings: 0.475
ISI Accession Number ID
Funding AgencyGrant Number
Research Grants Council of Hong KongHKU 7118/07E
HKU 7120/08E
Funding Information:

Partial financial support for this work has been provided by the Research Grants Council of Hong Kong through contracts HKU 7118/07E and HKU 7120/08E. B. A. M. appreciates hospitality of the Faculty of Engineering at the University of Hong Kong.

References

 

DC FieldValueLanguage
dc.contributor.authorTsang, CHen_HK
dc.contributor.authorMalomed, BAen_HK
dc.contributor.authorLam, CKen_HK
dc.contributor.authorChow, KWen_HK
dc.date.accessioned2012-03-22T08:24:29Z-
dc.date.available2012-03-22T08:24:29Z-
dc.date.issued2010en_HK
dc.identifier.citationEuropean Physical Journal D, 2010, v. 59 n. 1, p. 81-89en_HK
dc.identifier.issn1434-6060en_HK
dc.identifier.urihttp://hdl.handle.net/10722/145806-
dc.description.abstractWe generalize a recently proposed model based on the cubic complex Ginzburg-Landau (CGL) equation, which gives rise to stable dissipative solitons supported by localized gain applied at a "hot spot" (HS), in the presence of the linear loss in the bulk. We introduce a model with the Kerr nonlinearity concentrated at the HS, together with the local gain and, possibly, with the local nonlinear loss. The model, which may be implemented in laser cavities based on planar waveguides, gives rise to exact solutions for pinned dissipative solitons. In the case when the HS does not include the localized nonlinear loss, numerical tests demonstrate that these solitons are stable/unstable if the localized nonlinearity is selfdefocusing/ focusing. Another new setting considered in this work is a pair of two symmetric HSs. We find exact asymmetric solutions for it, although they are unstable. Numerical simulations demonstrate that stable modes supported by the HS pair tend to be symmetric. An unexpected conclusion is that the interaction between breathers pinned to two broad HSs, which are the only stable modes in isolation in that case, transforms them into a static symmetric mode. © EDP Sciences, Societá Italiana di Fisica, Springer-Verlag 2010.en_HK
dc.languageeng-
dc.publisherSpringer Verlag. The Journal's web site is located at http://link.springer.de/link/service/journals/10053/en_HK
dc.relation.ispartofEuropean Physical Journal Den_HK
dc.rightsThe original publication is available at www.springerlink.com-
dc.titleSolitons pinned to hot spotsen_HK
dc.typeArticleen_HK
dc.identifier.emailChow, KW:kwchow@hku.hken_HK
dc.identifier.authorityChow, KW=rp00112en_HK
dc.description.naturelink_to_subscribed_fulltext-
dc.identifier.doi10.1140/epjd/e2010-00073-0en_HK
dc.identifier.scopuseid_2-s2.0-77954955580en_HK
dc.identifier.hkuros185510-
dc.relation.referenceshttp://www.scopus.com/mlt/select.url?eid=2-s2.0-77954955580&selection=ref&src=s&origin=recordpageen_HK
dc.identifier.volume59en_HK
dc.identifier.issue1en_HK
dc.identifier.spage81en_HK
dc.identifier.epage89en_HK
dc.identifier.eissn1434-6079-
dc.identifier.isiWOS:000279690700011-
dc.publisher.placeGermanyen_HK
dc.identifier.scopusauthoridTsang, CH=36187480500en_HK
dc.identifier.scopusauthoridMalomed, BA=35555126200en_HK
dc.identifier.scopusauthoridLam, CK=7402990801en_HK
dc.identifier.scopusauthoridChow, KW=13605209900en_HK
dc.identifier.citeulike6975667-

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