Symmetries in Connection Preserving Deformations

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Фізико-технічні та математичні науки
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Symmetry, Integrability and Geometry: Methods and Applications (SIGMA)
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Symmetry, Integrability and Geometry: Methods and Applications, 2011, том 7
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dc.contributor.author	Ormerod, C.M.
dc.date.accessioned	2019-02-13T18:11:32Z
dc.date.available	2019-02-13T18:11:32Z
dc.date.issued	2011
dc.identifier.citation	Symmetries in Connection Preserving Deformations / C.. Ormerod // Symmetry, Integrability and Geometry: Methods and Applications. — 2011. — Т. 7. — Бібліогр.: 29 назв. — англ.	uk_UA
dc.identifier.issn	1815-0659
dc.identifier.other	2010 Mathematics Subject Classification: 34M55; 39A13
dc.identifier.other	DOI:10.3842/SIGMA.2011.049
dc.identifier.uri	http://dspace.nbuv.gov.ua/handle/123456789/147174
dc.description.abstract	We wish to show that the root lattice of Bäcklund transformations of the q-analogue of the third and fourth Painlevé equations, which is of type (A₂+A₁)⁽¹⁾, may be expressed as a quotient of the lattice of connection preserving deformations. Furthermore, we will show various directions in the lattice of connection preserving deformations present equivalent evolution equations under suitable transformations. These transformations correspond to the Dynkin diagram automorphisms.	uk_UA
dc.description.sponsorship	This paper is a contribution to the Proceedings of the Conference “Symmetries and Integrability of Difference Equations (SIDE-9)” (June 14–18, 2010, Varna, Bulgaria). The full collection is available at http://www.emis.de/journals/SIGMA/SIDE-9.html.	uk_UA
dc.language.iso	en	uk_UA
dc.publisher	Інститут математики НАН України	uk_UA
dc.relation.ispartof	Symmetry, Integrability and Geometry: Methods and Applications
dc.title	Symmetries in Connection Preserving Deformations	uk_UA
dc.type	Article	uk_UA
dc.status	published earlier	uk_UA