Commutation Relations and Discrete Garnier Systems
Vernadsky National Library of Ukraine
Переглянути архів Інформація| Поле | Співвідношення | |
| Title |
Commutation Relations and Discrete Garnier Systems
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| Creator |
Ormerod, C.M.
Rains, E.M. |
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| Description |
We present four classes of nonlinear systems which may be considered discrete analogues of the Garnier system. These systems arise as discrete isomonodromic deformations of systems of linear difference equations in which the associated Lax matrices are presented in a factored form. A system of discrete isomonodromic deformations is completely determined by commutation relations between the factors. We also reparameterize these systems in terms of the image and kernel vectors at singular points to obtain a separate birational form. A distinguishing feature of this study is the presence of a symmetry condition on the associated linear problems that only appears as a necessary feature of the Lax pairs for the least degenerate discrete Painlevé equations.
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| Date |
2019-02-18T14:48:18Z
2019-02-18T14:48:18Z 2016 |
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| Type |
Article
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| Identifier |
Commutation Relations and Discrete Garnier Systems / C. M. Ormerod, E. M. Rains // Symmetry, Integrability and Geometry: Methods and Applications. — 2016. — Т. 12. — Бібліогр.: 56 назв. — англ.
1815-0659 2010 Mathematics Subject Classification: 39A10; 39A13; 37K15 DOI:10.3842/SIGMA.2016.110 http://dspace.nbuv.gov.ua/handle/123456789/148532 |
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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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