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Conference Paper: Transmission of solitary pulses in inhomogeneous, nonlinear media: Exact solutions
Title | Transmission of solitary pulses in inhomogeneous, nonlinear media: Exact solutions |
---|---|
Authors | |
Keywords | Dispersion-Decreasing Fiber Gross-Pitaevskii Equation Hirota Transformation Soliton |
Issue Date | 2007 |
Publisher | S 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? |
Abstract | The 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 Identifier | http://hdl.handle.net/10722/158979 |
ISBN | |
ISSN | 2023 SCImago Journal Rankings: 0.152 |
References |
DC Field | Value | Language |
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dc.contributor.author | Chow, KW | en_US |
dc.contributor.author | Malomed, BA | en_US |
dc.date.accessioned | 2012-08-08T09:04:55Z | - |
dc.date.available | 2012-08-08T09:04:55Z | - |
dc.date.issued | 2007 | en_US |
dc.identifier.citation | Proceedings Of Spie - The International Society For Optical Engineering, 2007, v. 6785 | en_US |
dc.identifier.isbn | 9780819469496 | - |
dc.identifier.issn | 0277-786X | en_US |
dc.identifier.uri | http://hdl.handle.net/10722/158979 | - |
dc.description.abstract | The 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.language | eng | en_US |
dc.publisher | S P I E - International Society for Optical Engineering. The Journal's web site is located at http://spie.org/x1848.xml | en_US |
dc.relation.ispartof | Proceedings of SPIE - The International Society for Optical Engineering | en_US |
dc.subject | Dispersion-Decreasing Fiber | en_US |
dc.subject | Gross-Pitaevskii Equation | en_US |
dc.subject | Hirota Transformation | en_US |
dc.subject | Soliton | en_US |
dc.title | Transmission of solitary pulses in inhomogeneous, nonlinear media: Exact solutions | en_US |
dc.type | Conference_Paper | en_US |
dc.identifier.email | Chow, KW:kwchow@hku.hk | en_US |
dc.identifier.authority | Chow, KW=rp00112 | en_US |
dc.description.nature | link_to_subscribed_fulltext | en_US |
dc.identifier.doi | 10.1117/12.757848 | en_US |
dc.identifier.scopus | eid_2-s2.0-36248929410 | en_US |
dc.identifier.hkuros | 143427 | - |
dc.relation.references | http://www.scopus.com/mlt/select.url?eid=2-s2.0-36248929410&selection=ref&src=s&origin=recordpage | en_US |
dc.identifier.volume | 6785 | en_US |
dc.publisher.place | United States | en_US |
dc.identifier.scopusauthorid | Chow, KW=13605209900 | en_US |
dc.identifier.scopusauthorid | Malomed, BA=35555126200 | en_US |
dc.identifier.issnl | 0277-786X | - |