Contiguity relations for discrete and ultradiscrete Painleve equations

被引：0

作者：

Ramani, A. ^{[1
]}

Grammaticos, B. ^{[2
]}

Willox, R. ^{[3
]}

机构：

[1] Ecole Polytech, CNRS, Ctr Phys Theor, F-91128 Palaiseau, France

[2] Univ Paris 11, Univ Paris 07, IMNC, CNRS,UMR 8165, F-91406 Orsay, France

[3] Univ Tokyo, Grad Sch Math Sci, Meguro Ku, Tokyo 1538914, Japan

来源：

JOURNAL OF NONLINEAR MATHEMATICAL PHYSICS | 2008年 / 15卷 / 04期

关键词：

D O I：

10.2991/jnmp.2008.15.4.1

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We show that the solutions of ultradiscrete Painleve equations satisfy contiguity relations just as their continuous and discrete counterparts. Our starting point are the relations for q-discrete Painleve equations which we then proceed to ultradiscretise. In this paper we obtain results for the one-parameter q-P(III), the symmetric q-P(IV) and the q-P(VI). These results show that there exists a perfect parallel between the properties of continuous, discrete and ultradiscrete Painleve equations.

引用

页码：353 / 364

页数：12

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