Degeneration through coalescence of the q-Painleve VI equation

被引：36

作者：

Grammaticos, B

Ohta, Y

Ramani, A

Sakai, H

机构：

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

[2] Hiroshima Univ, Fac Engn, Dept Appl Math, Higashihiroshima 739, Japan

[3] Ecole Polytech, CNRS, CPT, UPR 14, F-91128 Palaiseau, France

[4] Kyoto Univ, Fac Sci, Dept Math, Kyoto 606, Japan

来源：

JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL | 1998年 / 31卷 / 15期

关键词：

D O I：

10.1088/0305-4470/31/15/018

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

Starting from the q-discrete form of the Painleve VI equation we obtain its degenerate forms by applying the procedure of coalescence of singularities. The whole cascade of degenerate forms is thus obtained leading to new forms for the discrete Painleve IV and V equations. The Lax pairs of these discrete Painleve equations are explicitly constructed, thus confirming their integrability.

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页码：3545 / 3558

页数：14

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