Finite-order meromorphic solutions and the discrete Painleve equations

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dc.creatorHalburd, R. G.
dc.creatorKorhonen, R. J.
dc.date2005-04-13
dc.date.accessioned2026-07-07T05:36:25Z
dc.date.available2026-07-07T05:36:25Z
dc.descriptionLet w(z) be a finite-order meromorphic solution of the second-order difference equation w(z+1)+w(z-1) = R(z,w(z)) (eqn 1) where R(z,w(z)) is rational in w(z) and meromorphic in z. Then either w(z) satisfies a difference linear or Riccati equation or else equation (1) can be transformed to one of a list of canonical difference equations. This list consists of all known difference Painleve equation of the form (1), together with their autonomous versions. This suggests that the existence of finite-order meromorphic solutions is a good detector of integrable difference equations.
dc.description34 pages
dc.identifierhttps://arxiv.org/abs/nlin/0504026
dc.identifierhttp://arxiv.org/abs/nlin/0504026
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/80985
dc.subjectExactly Solvable and Integrable Systems
dc.subjectComplex Variables
dc.titleFinite-order meromorphic solutions and the discrete Painleve equations
dc.typetext

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