Special solutions of discrete Painleve equations through direct linearisation

被引：2

作者：

Tamizhmani, T

Grammaticos, B

Tamizhmani, KM

Ramani, A

机构：

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

[2] Pondicherry Univ, Dept Math, Pondicherry 605014, India

[3] Ecole Polytech, CNRS, UMR 7644, CPT, F-91128 Palaiseau, France

来源：

PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS | 2002年 / 315卷 / 3-4期

关键词：

integrability; linearisation; discrete Painleve equations; special functions;

D O I：

10.1016/S0378-4371(02)01014-2

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

We study the special solutions of discrete Painleve equations which can be expressed through the discrete equivalent of quadratures. The discrete Painleve equations examined are the ones which appear in the classification based on affine Weyl groups and which can be written as a system of two first-order mappings. The solutions obtained are the discrete equivalents of solutions which have been shown to exist for the continuous Painleve equations. (C) 2002 Published by Elsevier Science B.V.

引用

页码：569 / 582

页数：14