Do All Integrable Evolution Equations Have the Painlevé Property?

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dc.creatorTamizhmani, K. M.
dc.creatorGrammaticos, Basil
dc.creatorRamani, Alfred
dc.date2007-06-19
dc.date.accessioned2026-07-07T09:34:07Z
dc.date.available2026-07-07T09:34:07Z
dc.descriptionWe examine whether the Painleve 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 Painleve 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).
dc.descriptionPublished in SIGMA (Symmetry, Integrability and Geometry: Methods and Applications) at http://www.emis.de/journals/SIGMA/
dc.identifierhttps://arxiv.org/abs/0706.2719
dc.identifierhttp://arxiv.org/abs/0706.2719
dc.identifierSIGMA 3 (2007), 073, 6 pages
dc.identifierdoi:10.3842/SIGMA.2007.073
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/159377
dc.subjectExactly Solvable and Integrable Systems
dc.subjectMathematical Physics
dc.subjectAnalysis of PDEs
dc.titleDo All Integrable Evolution Equations Have the Painlevé Property?
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