Do All Integrable Evolution Equations Have the Painlevé Property?
Vernadsky National Library of Ukraine
Переглянути архів Інформація| Поле | Співвідношення | |
| Title |
Do All Integrable Evolution Equations Have the Painlevé Property?
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| Creator |
Tamizhmani, K.M.
Grammaticos, B. Ramani, A. |
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| Description |
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).
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| Date |
2019-02-14T14:57:07Z
2019-02-14T14:57:07Z 2007 |
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| Type |
Article
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| Identifier |
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.
1815-0659 2000 Mathematics Subject Classification: 34A99; 35A21; 39A12 http://dspace.nbuv.gov.ua/handle/123456789/147384 |
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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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