Some results on difference Painleve IV equations

被引：6

作者：

Zhang, Jilong ^{[1
,2
,3
]}

机构：

[1] Beihang Univ, LMIB, Beijing, Peoples R China

[2] Beihang Univ, Sch Math & Syst Sci, Beijing, Peoples R China

[3] UCL, Dept Math, Gower St, London WC1E 6BT, England

来源：

JOURNAL OF DIFFERENCE EQUATIONS AND APPLICATIONS | 2016年 / 22卷 / 12期

关键词：

Painleve difference equation; meromorphic solution; iterate; MEROMORPHIC SOLUTIONS; INTEGRABILITY;

D O I：

10.1080/10236198.2016.1255207

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we investigate the family of difference Painleve IV equation (w(z + 1) + w(z))(w(z) + w(z - 1)) = R(z, w), where R(z, w), is rational in w and meromorphic in z. If equation assumes an admissible meromorphic solution of hyper-order rho 2(w) < 1, we give the coefficients relations of all the classification, which are known as the difference Painleve properties.

引用

页码：1912 / 1929

页数：18

共 24 条

[1]

Ablowitz M.J., 1991, Nonlinear Evolution Equations and Inverse Scattering

[2] On the extension of the Painleve property to difference equations [J].