Exact solutions of the stimulated-Raman-scattering equations

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PhysRevA446057.pdf (585.12 KB)

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https://link.aps.org/doi/10.1103/PhysRevA.44.6057

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https://doi.org/10.1103/PhysRevA.44.6057
 http://hdl.handle.net/11603/39028

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UMBC Faculty Collection
UMBC Computer Science and Electrical Engineering Department

Author/Creator

Author/Creator ORCID

https://orcid.org/0000-0003-0269-8433

Date

1991-11-01

Type of Work

journal articles
Text

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Program

Citation of Original Publication

Levi, 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.

Rights

©2025 American Physical Society

Subjects

stimulated-Raman-scattering equations
asymptotic behavior
analytic solutions
UMBC Optical Fiber Communications Laboratory
UMBC High Performance Computing Facility (HPCF)
experimental data
fifth Painlevé transcendent PV

Abstract

Exact 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.