Automorphisms and transformations of solutions to the generalised Chazy equation for various parameters

被引：2

作者：

Randall, Matthew

机构：

来源：

JOURNAL OF DIFFERENTIAL EQUATIONS | 2020年 / 268卷 / 12期

关键词：

DIFFERENTIAL-EQUATIONS;

D O I：

10.1016/j.jde.2019.11.094

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We analyse the automorphisms of solutions to Chazy's equation and the generalised Chazy equation for the parameters k = 2, 3, 4 and 9. These automorphisms are induced by triangular domains with isosceles symmetry. We also prove theorems about the transformations of solutions to the generalised Chazy equation between various different parameters. Using the transformation of solutions between parameters k = 2 and k = 2/3, we are able to prove a result about the automorphism of the solutions to the k = 2/3 generalised Chazy equation. (C) 2019 Elsevier Inc. All rights reserved.

引用

页码：7998 / 8025

页数：28

共 8 条

[1]

Ablowitz M.J., 1998, Asian J. Math., V2, P1

[2] The generalized Chazy equation from the self-duality equations [J].