Non-Schlesinger Isomonodromic Deformations of Fuchsian Systems and Middle Convolution
The paper is devoted to non-Schlesinger isomonodromic deformations for resonant Fuchsian systems. There are very few explicit examples of such deformations in the literature. In this paper we construct a new example of the non-Schlesinger isomonodromic deformation for a resonant Fuchsian system of o...
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| Дата: | 2015 |
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| Автори: | , |
| Формат: | Стаття |
| Мова: | English |
| Опубліковано: |
Інститут математики НАН України
2015
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| Назва видання: | Symmetry, Integrability and Geometry: Methods and Applications |
| Онлайн доступ: | http://dspace.nbuv.gov.ua/handle/123456789/147002 |
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| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Цитувати: | Non-Schlesinger Isomonodromic Deformations of Fuchsian Systems and Middle Convolution / Y. Bibilo, G. Filipuk // Symmetry, Integrability and Geometry: Methods and Applications. — 2015. — Т. 11. — Бібліогр.: 51 назв. — англ. |
Репозитарії
Digital Library of Periodicals of National Academy of Sciences of Ukraine| id |
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irk-123456789-1470022019-02-13T01:24:37Z Non-Schlesinger Isomonodromic Deformations of Fuchsian Systems and Middle Convolution Bibilo, Y. Filipuk, G. The paper is devoted to non-Schlesinger isomonodromic deformations for resonant Fuchsian systems. There are very few explicit examples of such deformations in the literature. In this paper we construct a new example of the non-Schlesinger isomonodromic deformation for a resonant Fuchsian system of order 5 by using middle convolution for a resonant Fuchsian system of order 2. Moreover, it is known that middle convolution is an operation that preserves Schlesinger's deformation equations for non-resonant Fuchsian systems. In this paper we show that Bolibruch's non-Schlesinger deformations of resonant Fuchsian systems are, in general, not preserved by middle convolution. 2015 Article Non-Schlesinger Isomonodromic Deformations of Fuchsian Systems and Middle Convolution / Y. Bibilo, G. Filipuk // Symmetry, Integrability and Geometry: Methods and Applications. — 2015. — Т. 11. — Бібліогр.: 51 назв. — англ. 1815-0659 2010 Mathematics Subject Classification: 34M56; 44A15 DOI:10.3842/SIGMA.2015.023 http://dspace.nbuv.gov.ua/handle/123456789/147002 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 |
The paper is devoted to non-Schlesinger isomonodromic deformations for resonant Fuchsian systems. There are very few explicit examples of such deformations in the literature. In this paper we construct a new example of the non-Schlesinger isomonodromic deformation for a resonant Fuchsian system of order 5 by using middle convolution for a resonant Fuchsian system of order 2. Moreover, it is known that middle convolution is an operation that preserves Schlesinger's deformation equations for non-resonant Fuchsian systems. In this paper we show that Bolibruch's non-Schlesinger deformations of resonant Fuchsian systems are, in general, not preserved by middle convolution. |
| format |
Article |
| author |
Bibilo, Y. Filipuk, G. |
| spellingShingle |
Bibilo, Y. Filipuk, G. Non-Schlesinger Isomonodromic Deformations of Fuchsian Systems and Middle Convolution Symmetry, Integrability and Geometry: Methods and Applications |
| author_facet |
Bibilo, Y. Filipuk, G. |
| author_sort |
Bibilo, Y. |
| title |
Non-Schlesinger Isomonodromic Deformations of Fuchsian Systems and Middle Convolution |
| title_short |
Non-Schlesinger Isomonodromic Deformations of Fuchsian Systems and Middle Convolution |
| title_full |
Non-Schlesinger Isomonodromic Deformations of Fuchsian Systems and Middle Convolution |
| title_fullStr |
Non-Schlesinger Isomonodromic Deformations of Fuchsian Systems and Middle Convolution |
| title_full_unstemmed |
Non-Schlesinger Isomonodromic Deformations of Fuchsian Systems and Middle Convolution |
| title_sort |
non-schlesinger isomonodromic deformations of fuchsian systems and middle convolution |
| publisher |
Інститут математики НАН України |
| publishDate |
2015 |
| url |
http://dspace.nbuv.gov.ua/handle/123456789/147002 |
| citation_txt |
Non-Schlesinger Isomonodromic Deformations of Fuchsian Systems and Middle Convolution / Y. Bibilo, G. Filipuk // Symmetry, Integrability and Geometry: Methods and Applications. — 2015. — Т. 11. — Бібліогр.: 51 назв. — англ. |
| series |
Symmetry, Integrability and Geometry: Methods and Applications |
| work_keys_str_mv |
AT bibiloy nonschlesingerisomonodromicdeformationsoffuchsiansystemsandmiddleconvolution AT filipukg nonschlesingerisomonodromicdeformationsoffuchsiansystemsandmiddleconvolution |
| first_indexed |
2023-05-20T17:26:17Z |
| last_indexed |
2023-05-20T17:26:17Z |
| _version_ |
1796153293158744064 |