Nearly integrable nonlinear equations on the half line describing the resonant interaction of radiation with matter

Autor:	V S Shchesnovich, E V Doktorov
Rok vydání:	2001
Předmět:	Physics Integrable system Applied Mathematics Dephasing Radiation Computer Science Applications Theoretical Computer Science symbols.namesake Nonlinear system Quantum mechanics Signal Processing symbols Half line Boundary value problem Spectral data Mathematical Physics Raman scattering
Zdroj:	Inverse Problems. 17:971-983
ISSN:	1361-6420 0266-5611
DOI:	10.1088/0266-5611/17/4/326
Popis:	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 (SRS). In particular, we prove that dephasing stabilizes the spike phenomenon in the SRS.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::34aa8d6091de0bb181593dfece90bda5 https://doi.org/10.1088/0266-5611/17/4/326 Zobrazit plný text záznamu