Bäcklund-Darboux Transformation for Non-Isospectral Canonical System and Riemann-Hilbert Problem
A GBDT version of the Bäcklund-Darboux transformation is constructed for a non-isospectral canonical system, which plays essential role in the theory of random matrix models. The corresponding Riemann-Hilbert problem is treated and some explicit formulas are obtained. A related inverse problem is fo...
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| Дата: | 2007 |
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| Автор: | |
| Формат: | Стаття |
| Мова: | English |
| Опубліковано: |
Інститут математики НАН України
2007
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| Назва видання: | Symmetry, Integrability and Geometry: Methods and Applications |
| Онлайн доступ: | http://dspace.nbuv.gov.ua/handle/123456789/147782 |
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| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Цитувати: | Bäcklund-Darboux Transformation for Non-Isospectral Canonical System and Riemann-Hilbert Problem / A. Sakhnovich // Symmetry, Integrability and Geometry: Methods and Applications. — 2007. — Т. 3. — Бібліогр.: 23 назв. — англ. |
Репозитарії
Digital Library of Periodicals of National Academy of Sciences of Ukraine| id |
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irk-123456789-1477822019-02-17T01:24:14Z Bäcklund-Darboux Transformation for Non-Isospectral Canonical System and Riemann-Hilbert Problem Sakhnovich, A. A GBDT version of the Bäcklund-Darboux transformation is constructed for a non-isospectral canonical system, which plays essential role in the theory of random matrix models. The corresponding Riemann-Hilbert problem is treated and some explicit formulas are obtained. A related inverse problem is formulated and solved. 2007 Article Bäcklund-Darboux Transformation for Non-Isospectral Canonical System and Riemann-Hilbert Problem / A. Sakhnovich // Symmetry, Integrability and Geometry: Methods and Applications. — 2007. — Т. 3. — Бібліогр.: 23 назв. — англ. 1815-0659 2000 Mathematics Subject Classification: 35Q15; 37K35 http://dspace.nbuv.gov.ua/handle/123456789/147782 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 |
A GBDT version of the Bäcklund-Darboux transformation is constructed for a non-isospectral canonical system, which plays essential role in the theory of random matrix models. The corresponding Riemann-Hilbert problem is treated and some explicit formulas are obtained. A related inverse problem is formulated and solved. |
| format |
Article |
| author |
Sakhnovich, A. |
| spellingShingle |
Sakhnovich, A. Bäcklund-Darboux Transformation for Non-Isospectral Canonical System and Riemann-Hilbert Problem Symmetry, Integrability and Geometry: Methods and Applications |
| author_facet |
Sakhnovich, A. |
| author_sort |
Sakhnovich, A. |
| title |
Bäcklund-Darboux Transformation for Non-Isospectral Canonical System and Riemann-Hilbert Problem |
| title_short |
Bäcklund-Darboux Transformation for Non-Isospectral Canonical System and Riemann-Hilbert Problem |
| title_full |
Bäcklund-Darboux Transformation for Non-Isospectral Canonical System and Riemann-Hilbert Problem |
| title_fullStr |
Bäcklund-Darboux Transformation for Non-Isospectral Canonical System and Riemann-Hilbert Problem |
| title_full_unstemmed |
Bäcklund-Darboux Transformation for Non-Isospectral Canonical System and Riemann-Hilbert Problem |
| title_sort |
bäcklund-darboux transformation for non-isospectral canonical system and riemann-hilbert problem |
| publisher |
Інститут математики НАН України |
| publishDate |
2007 |
| url |
http://dspace.nbuv.gov.ua/handle/123456789/147782 |
| citation_txt |
Bäcklund-Darboux Transformation for Non-Isospectral Canonical System and Riemann-Hilbert Problem / A. Sakhnovich // Symmetry, Integrability and Geometry: Methods and Applications. — 2007. — Т. 3. — Бібліогр.: 23 назв. — англ. |
| series |
Symmetry, Integrability and Geometry: Methods and Applications |
| work_keys_str_mv |
AT sakhnovicha backlunddarbouxtransformationfornonisospectralcanonicalsystemandriemannhilbertproblem |
| first_indexed |
2023-05-20T17:28:14Z |
| last_indexed |
2023-05-20T17:28:14Z |
| _version_ |
1796153371399290880 |