Long-Time Asymptotic Behavior of an Integrable Model of the Stimulated Raman Scattering with Periodic Boundary Data
The long-time asymptotic behavior of the initial-boundary value (IBV) problem in the quarter plane (x > 0, t > 0) for nonlinear integrable equations of the stimulated Raman scattering is studied. Considered is the case of zero initial condition and single-phase boundary data. By using the stee...
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| Veröffentlicht in: | Журнал математической физики, анализа, геометрии |
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| Datum: | 2009 |
| Hauptverfasser: | , |
| Format: | Artikel |
| Sprache: | Englisch |
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Фізико-технічний інститут низьких температур ім. Б.І. Вєркіна НАН України
2009
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| Online Zugang: | https://nasplib.isofts.kiev.ua/handle/123456789/106550 |
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| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Zitieren: | Long-Time Asymptotic Behavior of an Integrable Model of the Stimulated Raman Scattering with Periodic Boundary Data / E.A. Moskovchenko, V.P. Kotlyarov // Журнал математической физики, анализа, геометрии. — 2009. — Т. 5, № 4. — С. 386-395. — Бібліогр.: 10 назв. — англ. |
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Digital Library of Periodicals of National Academy of Sciences of Ukraine| _version_ | 1862717361185882112 |
|---|---|
| author | Moskovchenko, E.A. Kotlyarov, V.P. |
| author_facet | Moskovchenko, E.A. Kotlyarov, V.P. |
| citation_txt | Long-Time Asymptotic Behavior of an Integrable Model of the Stimulated Raman Scattering with Periodic Boundary Data / E.A. Moskovchenko, V.P. Kotlyarov // Журнал математической физики, анализа, геометрии. — 2009. — Т. 5, № 4. — С. 386-395. — Бібліогр.: 10 назв. — англ. |
| collection | DSpace DC |
| container_title | Журнал математической физики, анализа, геометрии |
| description | The long-time asymptotic behavior of the initial-boundary value (IBV) problem in the quarter plane (x > 0, t > 0) for nonlinear integrable equations of the stimulated Raman scattering is studied. Considered is the case of zero initial condition and single-phase boundary data. By using the steepest descent method for oscillatory matrix Riemann{Hilbert problems it is shown that the solution of the IBV problem has different asymptotic behavior in different regions
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| first_indexed | 2025-12-07T18:10:00Z |
| format | Article |
| fulltext | |
| id | nasplib_isofts_kiev_ua-123456789-106550 |
| institution | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| issn | 1812-9471 |
| language | English |
| last_indexed | 2025-12-07T18:10:00Z |
| publishDate | 2009 |
| publisher | Фізико-технічний інститут низьких температур ім. Б.І. Вєркіна НАН України |
| record_format | dspace |
| spelling | Moskovchenko, E.A. Kotlyarov, V.P. 2016-09-30T08:24:47Z 2016-09-30T08:24:47Z 2009 Long-Time Asymptotic Behavior of an Integrable Model of the Stimulated Raman Scattering with Periodic Boundary Data / E.A. Moskovchenko, V.P. Kotlyarov // Журнал математической физики, анализа, геометрии. — 2009. — Т. 5, № 4. — С. 386-395. — Бібліогр.: 10 назв. — англ. 1812-9471 https://nasplib.isofts.kiev.ua/handle/123456789/106550 The long-time asymptotic behavior of the initial-boundary value (IBV) problem in the quarter plane (x > 0, t > 0) for nonlinear integrable equations of the stimulated Raman scattering is studied. Considered is the case of zero initial condition and single-phase boundary data. By using the steepest descent method for oscillatory matrix Riemann{Hilbert problems it is shown that the solution of the IBV problem has different asymptotic behavior in different regions en Фізико-технічний інститут низьких температур ім. Б.І. Вєркіна НАН України Журнал математической физики, анализа, геометрии Long-Time Asymptotic Behavior of an Integrable Model of the Stimulated Raman Scattering with Periodic Boundary Data Article published earlier |
| spellingShingle | Long-Time Asymptotic Behavior of an Integrable Model of the Stimulated Raman Scattering with Periodic Boundary Data Moskovchenko, E.A. Kotlyarov, V.P. |
| title | Long-Time Asymptotic Behavior of an Integrable Model of the Stimulated Raman Scattering with Periodic Boundary Data |
| title_full | Long-Time Asymptotic Behavior of an Integrable Model of the Stimulated Raman Scattering with Periodic Boundary Data |
| title_fullStr | Long-Time Asymptotic Behavior of an Integrable Model of the Stimulated Raman Scattering with Periodic Boundary Data |
| title_full_unstemmed | Long-Time Asymptotic Behavior of an Integrable Model of the Stimulated Raman Scattering with Periodic Boundary Data |
| title_short | Long-Time Asymptotic Behavior of an Integrable Model of the Stimulated Raman Scattering with Periodic Boundary Data |
| title_sort | long-time asymptotic behavior of an integrable model of the stimulated raman scattering with periodic boundary data |
| url | https://nasplib.isofts.kiev.ua/handle/123456789/106550 |
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