Exact solutions of the stimulated-Raman-scattering equations

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dc.contributor.authorLevi, D.
dc.contributor.authorMenyuk, Curtis
dc.contributor.authorWinternitz, P.
dc.date.accessioned2025-06-17T14:46:21Z
dc.date.available2025-06-17T14:46:21Z
dc.date.issued1991-11-01
dc.description.abstractExact analytic solutions of the stimulated-Raman-scattering equations are obtained using group-theoretical methods. Special attention is devoted to a self-similar solution in terms of the fifth Painlevé transcendent 𝑃ᵥ. Its asymptotic behavior is established and shown to agree with experimental data and with earlier numerical calculations.
dc.description.sponsorshipThe work of C R M is supported by the Naval Research Laboratory P W by research grants from NSERC of Canada FCAR of Quebec and NATO D L acknowledges financial support from NATO and from NSERC of Canada
dc.description.urihttps://link.aps.org/doi/10.1103/PhysRevA.44.6057
dc.format.extent14 pages
dc.genrejournal articles
dc.identifierdoi:10.13016/m2qogf-vpxl
dc.identifier.citationLevi, D., C. R. Menyuk, and P. Winternitz. “Exact Solutions of the Stimulated-Raman-Scattering Equations.” Physical Review A 44, no. 9 (November 1, 1991): 6057–70. https://doi.org/10.1103/PhysRevA.44.6057.
dc.identifier.urihttps://doi.org/10.1103/PhysRevA.44.6057
dc.identifier.urihttp://hdl.handle.net/11603/39028
dc.language.isoen_US
dc.publisherAPS
dc.relation.isAvailableAtThe University of Maryland, Baltimore County (UMBC)
dc.relation.ispartofUMBC Faculty Collection
dc.relation.ispartofUMBC Computer Science and Electrical Engineering Department
dc.rights©2025 American Physical Society
dc.subjectstimulated-Raman-scattering equations
dc.subjectasymptotic behavior
dc.subjectanalytic solutions
dc.subjectUMBC Optical Fiber Communications Laboratory
dc.subjectUMBC High Performance Computing Facility (HPCF)
dc.subjectexperimental data
dc.subjectfifth Painlevé transcendent PV
dc.titleExact solutions of the stimulated-Raman-scattering equations
dc.typeText
dcterms.creatorhttps://orcid.org/0000-0003-0269-8433

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