Periodic boundary data for an integrable model of stimulated Raman scattering: long-time asymptotic behavior

DOI10.1088/1751-8113/43/5/055205zbMath1187.78055OpenAlexW2004544485MaRDI QIDQ5305390

E. A. Moskovchenko, Vladimir P. Kotlyarov

Publication date: 22 March 2010

Published in: Journal of Physics A: Mathematical and Theoretical (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1088/1751-8113/43/5/055205

zbMATH Keywords

Riemann-Hilbert problemstimulated Raman scattering

Mathematics Subject Classification ID

Diffraction, scattering (78A45) Lasers, masers, optical bistability, nonlinear optics (78A60) Riemann-Hilbert problems in context of PDEs (35Q15)

Related Items (4)

A matrix Baker-Akhiezer function associated with the Maxwell-Bloch equations and their finite-gap solutions ⋮ Asymptotics behavior for the integrable nonlinear Schrödinger equation with quartic terms: Cauchy problem ⋮ Initial-boundary value problem for stimulated Raman scattering model: solvability of Whitham type system of equations arising in long-time asymptotic analysis ⋮ Laguerre polynomials and transitional asymptotics of the modified Korteweg-de Vries equation for step-like initial data

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