Title of article :
Alternate discrete Painlevé equations from limits of q-PVI and d-PV
Author/Authors :
T. Tamizhmani، نويسنده , , B. Grammaticos، نويسنده , , A. Ramani، نويسنده , , K.M. Tamizhmani، نويسنده ,
Issue Information :
روزنامه با شماره پیاپی سال 2006
Abstract :
We study the special limits of discrete Painlevé equations belonging to the q-PVI and d-PVfamilies, 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.
Journal title :
Physica A Statistical Mechanics and its Applications
Journal title :
Physica A Statistical Mechanics and its Applications