Second and fourth Painleve hierarchies and Jimbo-Miwa linear problems

被引：29
|
作者：
Gordoa, Pilar R.
Joshi, Nalini
Pickering, Andrew
机构：
[1] Univ Rey Juan Carlos, Dept Matemat Aplicada, Madrid 28933, Spain
[2] Univ Sydney, Sch Math & Stat, Sydney, NSW 2006, Australia
来源：
JOURNAL OF MATHEMATICAL PHYSICS | 2006年 / 47卷 / 07期
基金：
澳大利亚研究理事会;
关键词：
D O I：
10.1063/1.2217647
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
The relations between the different linear problems for Painleve equations is an intriguing open problem. Here we consider our previously given second and fourth Painleve hierarchies [Publ. Res. Inst. Math. Sci. (Kyoto) 37, 327-347 (2001)], and show that they could alternatively have been derived using the linear problems of Jimbo and Miwa. That is, we give a gauge transformation of our linear problems for these two hierarchies which maps those of the second and fourth Painleve equations themselves onto those of Jimbo and Miwa. (c) 2006 American Institute of Physics.
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页数：16
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