Initial Value Problems for Integrable Systems on a Semi-Strip
Two important cases, where boundary conditions and solutions of the well-known integrable equations on a semi-strip are uniquely determined by the initial conditions, are rigorously studied in detail. First, the case of rectangular matrix solutions of the defocusing nonlinear Schrödinger equation wi...
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| Дата: | 2016 |
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| Автор: | |
| Формат: | Стаття |
| Мова: | English |
| Опубліковано: |
Інститут математики НАН України
2016
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| Назва видання: | Symmetry, Integrability and Geometry: Methods and Applications |
| Онлайн доступ: | http://dspace.nbuv.gov.ua/handle/123456789/147424 |
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| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Цитувати: | Initial Value Problems for Integrable Systems on a Semi-Strip / A.L. Sakhnovich // Symmetry, Integrability and Geometry: Methods and Applications. — 2016. — Т. 12. — Бібліогр.: 60 назв. — англ. |
Репозитарії
Digital Library of Periodicals of National Academy of Sciences of Ukraine| id |
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irk-123456789-1474242019-02-15T01:24:07Z Initial Value Problems for Integrable Systems on a Semi-Strip Sakhnovich, A.L. Two important cases, where boundary conditions and solutions of the well-known integrable equations on a semi-strip are uniquely determined by the initial conditions, are rigorously studied in detail. First, the case of rectangular matrix solutions of the defocusing nonlinear Schrödinger equation with quasi-analytic boundary conditions is dealt with. (The result is new even for a scalar nonlinear Schrödinger equation.) Next, a special case of the nonlinear optics (N-wave) equation is considered. 2016 Article Initial Value Problems for Integrable Systems on a Semi-Strip / A.L. Sakhnovich // Symmetry, Integrability and Geometry: Methods and Applications. — 2016. — Т. 12. — Бібліогр.: 60 назв. — англ. 1815-0659 2010 Mathematics Subject Classification: 35Q55; 35Q60; 34B20; 35A02 DOI:10.3842/SIGMA.2016.001 http://dspace.nbuv.gov.ua/handle/123456789/147424 en Symmetry, Integrability and Geometry: Methods and Applications Інститут математики НАН України |
| institution |
Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| collection |
DSpace DC |
| language |
English |
| description |
Two important cases, where boundary conditions and solutions of the well-known integrable equations on a semi-strip are uniquely determined by the initial conditions, are rigorously studied in detail. First, the case of rectangular matrix solutions of the defocusing nonlinear Schrödinger equation with quasi-analytic boundary conditions is dealt with. (The result is new even for a scalar nonlinear Schrödinger equation.) Next, a special case of the nonlinear optics (N-wave) equation is considered. |
| format |
Article |
| author |
Sakhnovich, A.L. |
| spellingShingle |
Sakhnovich, A.L. Initial Value Problems for Integrable Systems on a Semi-Strip Symmetry, Integrability and Geometry: Methods and Applications |
| author_facet |
Sakhnovich, A.L. |
| author_sort |
Sakhnovich, A.L. |
| title |
Initial Value Problems for Integrable Systems on a Semi-Strip |
| title_short |
Initial Value Problems for Integrable Systems on a Semi-Strip |
| title_full |
Initial Value Problems for Integrable Systems on a Semi-Strip |
| title_fullStr |
Initial Value Problems for Integrable Systems on a Semi-Strip |
| title_full_unstemmed |
Initial Value Problems for Integrable Systems on a Semi-Strip |
| title_sort |
initial value problems for integrable systems on a semi-strip |
| publisher |
Інститут математики НАН України |
| publishDate |
2016 |
| url |
http://dspace.nbuv.gov.ua/handle/123456789/147424 |
| citation_txt |
Initial Value Problems for Integrable Systems on a Semi-Strip / A.L. Sakhnovich // Symmetry, Integrability and Geometry: Methods and Applications. — 2016. — Т. 12. — Бібліогр.: 60 назв. — англ. |
| series |
Symmetry, Integrability and Geometry: Methods and Applications |
| work_keys_str_mv |
AT sakhnovichal initialvalueproblemsforintegrablesystemsonasemistrip |
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2023-05-20T17:26:53Z |
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2023-05-20T17:26:53Z |
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