Limits and degeneracies of discrete Painlevé equations: a sequel

A. Ramani, R. Willox, B. Grammaticos, A.S. Carstea and J. Satsuma

Physica A: Statistical Mechanics and its Applications, 2005, vol. 347, issue C, 1-16

Abstract: We present the discrete systems which result from the discrete Painlevé equations q-PVI and d-PV associated to the affine Weyl group E7(1). Two different procedures (“limits” and “degeneracies”) are used, giving rise to a host of new discrete Painlevé equations but also to some equations which are integrable through linearisation.

Keywords: Integrable mappings; Discrete Painlevé equations (search for similar items in EconPapers)
Date: 2005
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:347:y:2005:i:c:p:1-16

DOI: 10.1016/j.physa.2004.08.086

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