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

TitleTransmission of solitary pulses in inhomogeneous, nonlinear media: Exact solutions
Authors
Issue Date2007
Citation
ROMOPTO 2006: Eighth Conference on Optics. In SPIE Proceedings, 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/10722/119260
ISBN

 

DC FieldValueLanguage
dc.contributor.authorChow, KWen_HK
dc.contributor.authorMalomed, BAen_HK
dc.date.accessioned2010-09-26T08:43:26Z-
dc.date.available2010-09-26T08:43:26Z-
dc.date.issued2007en_HK
dc.identifier.citationROMOPTO 2006: Eighth Conference on Optics. In SPIE Proceedings, 2007, v. 6785-
dc.identifier.isbn9780819469496-
dc.identifier.urihttp://hdl.handle.net/10722/119260-
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.-
dc.languageengen_HK
dc.relation.ispartofSPIE Proceedings-
dc.titleTransmission of solitary pulses in inhomogeneous, nonlinear media: Exact solutionsen_HK
dc.typeBooken_HK
dc.identifier.emailChow, KW: kwchow@hkusua.hku.hken_HK
dc.identifier.authorityChow, KW=rp00112en_HK
dc.description.naturelink_to_subscribed_fulltext-
dc.identifier.doi10.1117/12.757848-
dc.identifier.hkuros143427en_HK
dc.identifier.volume6785en_HK
dc.identifier.spage67850en_HK

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