The q-Painleve V equation and its geometrical description

Authors
Ramani, A Grammaticos, B Ohta, Y
Citation
A. Ramani et al., The q-Painleve V equation and its geometrical description, J PHYS A, 34(11), 2001, pp. 2505-2513
Citations number
13
Categorie Soggetti
Physics
Journal title
JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL
ISSN journal
03054470 → ACNP
Volume
34
Issue
11
Year of publication
2001
Pages
2505 - 2513
Database
ISI
SICI code
0305-4470(20010323)34:11<2505:TQVEAI>2.0.ZU;2-X
Abstract
We study the q-Painleve V equation which can be obtained from the degenerat ion of the q-P-VI (in the form of the asymmetric q-P-III) equation and pres ent its geometrical description. Based on the bilinear formulation we obtai n the equations for the multi-dimensional tau -functions of q-P-V (in the f orm of nonautonomous Hirota-Miwa systems) which lives in the weight lattice of the A(4) affine Weyl group. This geometrical approach furnishes in a st raightforward way the Miuras and the Schlesingers of q-P-V.