Do All Integrable Evolution Equations Have the Painlevé Property?

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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, 2007, том 3
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Symmetry, Integrability and Geometry: Methods and Applications, 2007, том 3, випуск за цей рік
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dc.contributor.author	Tamizhmani, K.M.
dc.contributor.author	Grammaticos, B.
dc.contributor.author	Ramani, A.
dc.date.accessioned	2019-02-14T14:57:07Z
dc.date.available	2019-02-14T14:57:07Z
dc.date.issued	2007
dc.identifier.citation	Do All Integrable Evolution Equations Have the Painlevé Property? / K.M. Tamizhmani, B. Grammaticos, A. Ramani // Symmetry, Integrability and Geometry: Methods and Applications. — 2007. — Т. 3. — Бібліогр.: 17 назв. — англ.	uk_UA
dc.identifier.issn	1815-0659
dc.identifier.other	2000 Mathematics Subject Classification: 34A99; 35A21; 39A12
dc.identifier.uri	http://dspace.nbuv.gov.ua/handle/123456789/147384
dc.description.abstract	We examine whether the Painlevé property is necessary for the integrability of partial differential equations (PDEs). We show that in analogy to what happens in the case of ordinary differential equations (ODEs) there exists a class of PDEs, integrable through linearisation, which do not possess the Painlevé property. The same question is addressed in a discrete setting where we show that there exist linearisable lattice equations which do not possess the singularity confinement property (again in analogy to the one-dimensional case).	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	Do All Integrable Evolution Equations Have the Painlevé Property?	uk_UA
dc.type	Article	uk_UA
dc.status	published earlier	uk_UA