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Conference Paper: Transmission of solitary pulses in inhomogeneous, nonlinear media: Exact solutions

TitleTransmission of solitary pulses in inhomogeneous, nonlinear media: Exact solutions
Authors
KeywordsDispersion-Decreasing Fiber
Gross-Pitaevskii Equation
Hirota Transformation
Soliton
Issue Date2007
PublisherS P I E - International Society for Optical Engineering. The Journal's web site is located at http://spie.org/x1848.xml
Citation
Proceedings Of Spie - The International Society For Optical Engineering, 2007, v. 6785 How to Cite?
AbstractThe dynamics of solitary pulses in an inhomogeneous nonlinear-optical waveguide, and in Bose-Einstein con-densates controlled by means of the Feshback-resonance techniques with a time-dependent magnetic field, which usually includes dispersion and nonlinearity management as typical scenarios, obeys a variable-coefficient non-linear Schrödinger (NLS)/Gross-Pitaevskii (GP) equation. In this paper, we survey approaches that make it possible to identify special cases of such equations that admit families of exact solutions obtained by means of the Hirota bilinear method. In particular, pulse compression and chirp effects are studied by means of this technique. The method is shown to be effective in modeling the evolution and interaction of solitary pulses.
Persistent Identifierhttp://hdl.handle.net/10722/158979
ISSN
References

 

DC FieldValueLanguage
dc.contributor.authorChow, KWen_US
dc.contributor.authorMalomed, BAen_US
dc.date.accessioned2012-08-08T09:04:55Z-
dc.date.available2012-08-08T09:04:55Z-
dc.date.issued2007en_US
dc.identifier.citationProceedings Of Spie - The International Society For Optical Engineering, 2007, v. 6785en_US
dc.identifier.issn0277-786Xen_US
dc.identifier.urihttp://hdl.handle.net/10722/158979-
dc.description.abstractThe dynamics of solitary pulses in an inhomogeneous nonlinear-optical waveguide, and in Bose-Einstein con-densates controlled by means of the Feshback-resonance techniques with a time-dependent magnetic field, which usually includes dispersion and nonlinearity management as typical scenarios, obeys a variable-coefficient non-linear Schrödinger (NLS)/Gross-Pitaevskii (GP) equation. In this paper, we survey approaches that make it possible to identify special cases of such equations that admit families of exact solutions obtained by means of the Hirota bilinear method. In particular, pulse compression and chirp effects are studied by means of this technique. The method is shown to be effective in modeling the evolution and interaction of solitary pulses.en_US
dc.languageengen_US
dc.publisherS P I E - International Society for Optical Engineering. The Journal's web site is located at http://spie.org/x1848.xmlen_US
dc.relation.ispartofProceedings of SPIE - The International Society for Optical Engineeringen_US
dc.subjectDispersion-Decreasing Fiberen_US
dc.subjectGross-Pitaevskii Equationen_US
dc.subjectHirota Transformationen_US
dc.subjectSolitonen_US
dc.titleTransmission of solitary pulses in inhomogeneous, nonlinear media: Exact solutionsen_US
dc.typeConference_Paperen_US
dc.identifier.emailChow, KW:kwchow@hku.hken_US
dc.identifier.authorityChow, KW=rp00112en_US
dc.description.naturelink_to_subscribed_fulltexten_US
dc.identifier.doi10.1117/12.757848en_US
dc.identifier.scopuseid_2-s2.0-36248929410en_US
dc.relation.referenceshttp://www.scopus.com/mlt/select.url?eid=2-s2.0-36248929410&selection=ref&src=s&origin=recordpageen_US
dc.identifier.volume6785en_US
dc.publisher.placeUnited Statesen_US
dc.identifier.scopusauthoridChow, KW=13605209900en_US
dc.identifier.scopusauthoridMalomed, BA=35555126200en_US

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