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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| Veröffentlicht in: | Symmetry, Integrability and Geometry: Methods and Applications |
|---|---|
| Datum: | 2007 |
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| Format: | Artikel |
| Sprache: | Englisch |
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Інститут математики НАН України
2007
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| Online Zugang: | https://nasplib.isofts.kiev.ua/handle/123456789/147782 |
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| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Zitieren: | 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. |
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Digital Library of Periodicals of National Academy of Sciences of Ukraine| _version_ | 1862710844875341824 |
|---|---|
| author | Sakhnovich, A. |
| author_facet | Sakhnovich, A. |
| 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. |
| collection | DSpace DC |
| container_title | Symmetry, Integrability and Geometry: Methods and Applications |
| 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.
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| first_indexed | 2025-12-07T17:27:25Z |
| format | Article |
| fulltext | |
| id | nasplib_isofts_kiev_ua-123456789-147782 |
| institution | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| issn | 1815-0659 |
| language | English |
| last_indexed | 2025-12-07T17:27:25Z |
| publishDate | 2007 |
| publisher | Інститут математики НАН України |
| record_format | dspace |
| spelling | Sakhnovich, A. 2019-02-16T08:07:32Z 2019-02-16T08:07:32Z 2007 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 https://nasplib.isofts.kiev.ua/handle/123456789/147782 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. This paper is a contribution to the Vadim Kuznetsov Memorial Issue ‘Integrable Systems and Related Topics’. The work was supported by the Austrian Science Fund (FWF) under Grant no. Y330. en Інститут математики НАН України Symmetry, Integrability and Geometry: Methods and Applications Bäcklund-Darboux Transformation for Non-Isospectral Canonical System and Riemann-Hilbert Problem Article published earlier |
| spellingShingle | Bäcklund-Darboux Transformation for Non-Isospectral Canonical System and Riemann-Hilbert Problem Sakhnovich, A. |
| title | 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_short | 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 |
| url | https://nasplib.isofts.kiev.ua/handle/123456789/147782 |
| work_keys_str_mv | AT sakhnovicha backlunddarbouxtransformationfornonisospectralcanonicalsystemandriemannhilbertproblem |