On classification of non-abelian Painleve type systems

被引：2
|
作者：
Bobrova, I. A. [1 ]
Sokolov, V. V. [2 ]
机构：
[1] Natl Res Univ Higher Sch Econ, Moscow, Russia
[2] Inst Informat Transmiss Problems, Moscow, Russia
来源：
JOURNAL OF GEOMETRY AND PHYSICS | 2023年 / 191卷
关键词：
Non-abelian ODEs; Painleve equations; Isomonodromic Lax pairs; dz;
D O I：
10.1016/j.geomphys.2023.104885
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We find all non-abelian generalizations of P1 - P6 Painleve systems such that the corresponding autonomous system obtained by freezing the independent variable is integrable. All these systems have isomonodromic Lax representations.& COPY; 2023 Elsevier B.V. All rights reserved.
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页数：21
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