Affine Weyl group symmetries of Frobenius Painleve equations

被引：12

作者：

Wang, Haifeng ^{[1
]}

Li, Chuanzhong ^{[1
]}

机构：

[1] Ningbo Univ, Sch Math & Stat, Ningbo 315211, Zhejiang, Peoples R China

来源：

MATHEMATICAL METHODS IN THE APPLIED SCIENCES | 2020年 / 43卷 / 06期

基金：

中国国家自然科学基金;

关键词：

affine Weyl group symmetry; Frobenius Painleve II equation; Frobenius Painleve IV equation; Hamilton system; similarity reduction; SYSTEMS; ALGEBRA; CHAINS;

D O I：

10.1002/mma.6116

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we introduce a Frobenius Painleve IV equation and the corresponding Hamilton system, and we give the symmetric form of the Frobenius Painleve IV equation. Then, we construct the Lax pair of the Frobenius Painleve IV equation. Furthermore, we recall the Frobenius modified KP hierarchy and the Frobenius KP hierarchy by bilinear equations, then we show how to get Frobenius Painleve IV equation from the Frobenius modified KP hierarchy. In order to study the different aspects of the Frobenius Painleve IV equation, we give the similarity reduction and affine Weyl group symmetry of the equation. Similarly, we introduce a Frobenius Painleve II equation and show the connection between the Frobenius modified KP hierarchy and the Frobenius Painleve II equation.

引用

页码：3238 / 3252

页数：15

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