The q-Painleve V equation and its geometrical description

被引：11

作者：

Ramani, A ^{[1
]}

Grammaticos, B

Ohta, Y

机构：

[1] Ecole Polytech, CNRS, CPT, UMT 7644, F-91128 Palaiseau, France

[2] Univ Paris 07, GMPIB, F-75251 Paris, France

[3] Hiroshima Univ, Fac Engn, Dept Math Appl, Higashihiroshima 7398527, Japan

来源：

JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL | 2001年 / 34卷 / 11期

关键词：

D O I：

10.1088/0305-4470/34/11/338

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

We study the q-Painleve V equation which can be obtained from the degeneration of the q-P-VI (in the form of the asymmetric q-P-III) equation and present its geometrical description. Based on the bilinear formulation we obtain the equations for the multi-dimensional tau -functions of q-P-V (in the form of nonautonomous Hirota-Miwa systems) which lives in the weight lattice of the A(4) affine Weyl group. This geometrical approach furnishes in a straightforward way the Miuras and the Schlesingers of q-P-V.

引用

页码：2505 / 2513

页数：9

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