ON THE ALTERNATE DISCRETE PAINLEV ´ E EQUATIONS AND RELATED SYSTEMS
ON THE ALTERNATE DISCRETE PAINLEV ´ E EQUATIONS AND RELATED SYSTEMS
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论交替离散 PAINLEV ´ E 方程及相关系统
DOI：
10.1088/0305-4470/35/43/315
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发表时间：
2006
期刊：
影响因子：
--
通讯作者：
T. Tamizhmani
中科院分区：
文献类型：
--
作者：
A. Ramani;B. Grammaticos;T. Tamizhmani
We examine the family of discrete Painleve equations which were intro- duced under the qualifier of "alternate". We show that there exists a transformation between the two canonical forms of these equations, and we proceed to link these forms to the contiguity relations of the continuous PVI. We describe the full degen- eration cascade of this contiguity, obtaining all related discrete Painleve equations (among which, one which has never been derived before) as well as mappings which are solvable by linearisation. Resume (Sur les equations discretes alternatives de Painleve et les systemes associes) Nousla famille desde Painleve discretes dites « alternatives ». Nous exhibons une transformation entre les deux formes canoniques et nous relions celles-ci aux relations de contigu¨ote de l'´equation de Painleve continue PVI. Nous de- crivons la cascade de degenerescence complete lieecette contigu¨ote ; nous explicitons toutes lesde Painleve discretes correspondantes (dont une inconnuece jour) ainsi que des applications resolubles par linearisation.
