Non-Schlesinger Isomonodromic Deformations of Fuchsian Systems and Middle Convolution
Vernadsky National Library of Ukraine
Переглянути архів Інформація| Поле | Співвідношення | |
| Title |
Non-Schlesinger Isomonodromic Deformations of Fuchsian Systems and Middle Convolution
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| Creator |
Bibilo, Y.
Filipuk, G. |
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| 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.
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| Date |
2019-02-12T18:15:54Z
2019-02-12T18:15:54Z 2015 |
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| Type |
Article
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| Identifier |
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 |
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| Language |
en
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| Relation |
Symmetry, Integrability and Geometry: Methods and Applications
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| Publisher |
Інститут математики НАН України
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