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Conference Paper: Stability and propagation of pulses in nonlinear Schrodinger models

TitleStability and propagation of pulses in nonlinear Schrodinger models
Authors
Chow, KWChiu, HS
Issue Date2008
PublisherSociety for Industrial and Applied Mathematics.
Citation
The 2008 SIAM Conference in Nonlinear Waves and Coherent Structures (NW08), Rome, Italy, 18-19 July 2008 How to Cite?
AbstractNonlinear Schrodinger equations (NLS) with complex, variable coefficient can model pulse propagation in inhomogeneous media with energy gain or attenuation. Special exact solutions are obtained by first isolating the chirp factor and a variant of the Hirota bilinear method. A competition between linear gain/loss versus their nonlinear counterparts is assessed. For coupled NLS systems, instability will depend on the number of components, and the relative magnitude of the cross and self phase modulation coefficients.
DescriptionSession MS24 Nonlinear Coherent Wave Structures in Fluids - Part III of V
Persistent Identifierhttp://hdl.handle.net/10722/62193

 

DC FieldValueLanguage
dc.contributor.authorChow, KWen_HK
dc.contributor.authorChiu, HSen_HK
dc.date.accessioned2010-07-13T03:56:00Z-
dc.date.available2010-07-13T03:56:00Z-
dc.date.issued2008en_HK
dc.identifier.citationThe 2008 SIAM Conference in Nonlinear Waves and Coherent Structures (NW08), Rome, Italy, 18-19 July 2008-
dc.identifier.urihttp://hdl.handle.net/10722/62193-
dc.descriptionSession MS24 Nonlinear Coherent Wave Structures in Fluids - Part III of V-
dc.description.abstractNonlinear Schrodinger equations (NLS) with complex, variable coefficient can model pulse propagation in inhomogeneous media with energy gain or attenuation. Special exact solutions are obtained by first isolating the chirp factor and a variant of the Hirota bilinear method. A competition between linear gain/loss versus their nonlinear counterparts is assessed. For coupled NLS systems, instability will depend on the number of components, and the relative magnitude of the cross and self phase modulation coefficients.-
dc.languageengen_HK
dc.publisherSociety for Industrial and Applied Mathematics.-
dc.relation.ispartofSIAM Conference on Nonlinear Waves and Coherent Structures (NW08)-
dc.titleStability and propagation of pulses in nonlinear Schrodinger modelsen_HK
dc.typeConference_Paperen_HK
dc.identifier.emailChiu, HS: h0430909@hkusua.hku.hken_HK
dc.identifier.emailChow, KW: kwchow@hkusua.hku.hken_HK
dc.identifier.authorityChow, KW=rp00112en_HK
dc.identifier.hkuros156820en_HK

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