Nearly integrable nonlinear equations on the half line

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dc.creatorDoktorov, E. V.
dc.creatorShchesnovich, V. S.
dc.date2000-10-02
dc.date.accessioned2026-07-07T05:33:03Z
dc.date.available2026-07-07T05:33:03Z
dc.descriptionWe employ the Riemann-Hilbert problem for solution of the initial-boundary value problems for nearly integrable equations on the half line which have important applications in physics. The detailed derivation of the integrable and perturbation-induced evolutions of the spectral data are given for the two most important models, the self-induced transparency and the stimulated Raman scattering. In particular, we prove that dephasing stabilizes the spike phenomenon in the stimulated Raman scattering.
dc.descriptionLaTex2e, 14 pages, no figures
dc.identifierhttps://arxiv.org/abs/nlin/0010002
dc.identifierhttp://arxiv.org/abs/nlin/0010002
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/79872
dc.subjectExactly Solvable and Integrable Systems
dc.subjectPattern Formation and Solitons
dc.titleNearly integrable nonlinear equations on the half line
dc.typetext

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