Nearly integrable nonlinear equations on the half line

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We 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.
LaTex2e, 14 pages, no figures

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Exactly Solvable and Integrable Systems, Pattern Formation and Solitons

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http://salesiana.dossiersoluciones.com/handle/123456789/79872

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/nlin/0010002
 http://arxiv.org/abs/nlin/0010002

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arXiv