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...
Збережено в:
| Дата: | 2009 |
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| Автори: | , |
| Формат: | Стаття |
| Мова: | English |
| Опубліковано: |
Фізико-технічний інститут низьких температур ім. Б.І. Вєркіна НАН України
2009
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| Назва видання: | Журнал математической физики, анализа, геометрии |
| Онлайн доступ: | http://dspace.nbuv.gov.ua/handle/123456789/106550 |
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| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Цитувати: | 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. |
Репозитарії
Digital Library of Periodicals of National Academy of Sciences of Ukraine| id |
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irk-123456789-1065502016-10-01T03:02:00Z Long-Time Asymptotic Behavior of an Integrable Model of the Stimulated Raman Scattering with Periodic Boundary Data Moskovchenko, E.A. Kotlyarov, V.P. 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 2009 Article 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 http://dspace.nbuv.gov.ua/handle/123456789/106550 en Журнал математической физики, анализа, геометрии Фізико-технічний інститут низьких температур ім. Б.І. Вєркіна НАН України |
| institution |
Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| collection |
DSpace DC |
| language |
English |
| 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 |
| format |
Article |
| author |
Moskovchenko, E.A. Kotlyarov, V.P. |
| spellingShingle |
Moskovchenko, E.A. Kotlyarov, V.P. Long-Time Asymptotic Behavior of an Integrable Model of the Stimulated Raman Scattering with Periodic Boundary Data Журнал математической физики, анализа, геометрии |
| author_facet |
Moskovchenko, E.A. Kotlyarov, V.P. |
| author_sort |
Moskovchenko, E.A. |
| title |
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_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_sort |
long-time asymptotic behavior of an integrable model of the stimulated raman scattering with periodic boundary data |
| publisher |
Фізико-технічний інститут низьких температур ім. Б.І. Вєркіна НАН України |
| publishDate |
2009 |
| url |
http://dspace.nbuv.gov.ua/handle/123456789/106550 |
| 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. |
| series |
Журнал математической физики, анализа, геометрии |
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AT moskovchenkoea longtimeasymptoticbehaviorofanintegrablemodelofthestimulatedramanscatteringwithperiodicboundarydata AT kotlyarovvp longtimeasymptoticbehaviorofanintegrablemodelofthestimulatedramanscatteringwithperiodicboundarydata |
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2023-10-18T20:13:12Z |
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