Discrete Painlevé equations: coalescences, limits and degeneracies

A. Ramani and B. Grammaticos

Physica A: Statistical Mechanics and its Applications, 1996, vol. 228, issue 1, 160-171

Abstract: Starting from the standard form of the five discrete Painlevé equations we show how one can obtain (through appropriate limits) a host of new equations which are also the discrete analogues of the continuous Painlevé equations. A particularly interesting technique is the one based on the assumption that some simplification takes place in the autonomous form of the mapping following which the deautonomization leads to a new n-dependence and introduces more new discrete Painlevé equations.

Date: 1996
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:228:y:1996:i:1:p:160-171

DOI: 10.1016/0378-4371(95)00439-4

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