Alternate discrete Painlevé equations from limits of q-PVI and d-PV

T. Tamizhmani, B. Grammaticos, A. Ramani and K.M. Tamizhmani

Physica A: Statistical Mechanics and its Applications, 2006, vol. 369, issue 2, 463-474

Abstract: We study the special limits of discrete Painlevé equations belonging to the q-PVI and d-PV families, when the independent variable goes to 1 or 0, respectively. We obtain discrete systems which are shown to be either contiguities of solutions of continuous Painlevé equations, usually of PVI but also of the other Painlevé equations (except PI, which has no parameters and so no possibility of contiguity), or linearisable mappings.

Keywords: Painlevé equations; Discrete systems; Integrability; Linearisable mappings (search for similar items in EconPapers)
Date: 2006
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:369:y:2006:i:2:p:463-474

DOI: 10.1016/j.physa.2005.10.060

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