Exact solutions of the stimulated-Raman-scattering equations

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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.

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©2025 American Physical Society

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.