Open AccessOn the identity of two q-discrete Painlevé equations and their geometrical derivation
Author(s) -
B. Grammaticos,
A. Ramani,
Tomoyuki Takenawa
Publication year - 2006
Publication title -
advances in difference equations
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.67
H-Index - 51
eISSN - 1687-1847
pISSN - 1687-1839
DOI - 10.1155/ade/2006/36397
Subject(s) - mathematics , ordinary differential equation , partial differential equation , identity (music) , mathematical analysis , pure mathematics , differential equation , physics , acoustics
We show that two recently discovered q-discrete Painlevé equations are one and the same system. Moreover we provide a novel derivation of this q-discrete system based on transformations obtained with the help of affine Weyl groups.
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