Uniformization and transcendence of solutions for the first and second Painlevé hierarchies

被引：0

作者：

Kudryashov, Nicolai A. ^{[1
]}

Soukharev, Mikhail B. ^{[1
]}

机构：

[1] Department of Applied Mathematics, Moscow Engineering Physics Institute, 31 Kashirskoe Shosse, Moscow 115409, Russia

来源：

Physics Letters, Section A: General, Atomic and Solid State Physics | 1998年 / 237卷 / 4-5期

关键词：

D O I：

暂无

中图分类号：

学科分类号：

摘要：

引用

页码：206 / 216

共 50 条

[1] Uniformization and transcendence of solutions for the first and second Painleve hierarchies
Kudryashov, NA
Soukharev, MB
PHYSICS LETTERS A, 1998, 237 (4-5) : 206 - 216
[2] Solutions of the first and second Painlevé equations are meromorphic
Aimo Hinkkanen
Ilpo Laine
Journal d’Analyse Mathématique, 1999, 79 : 345 - 377
[3] Rational and Special Solutions for Some Painlevé Hierarchies
Nikolay A. Kudryashov
Regular and Chaotic Dynamics, 2019, 24 : 90 - 100
[4] Global Meromorphy of Solutions of the Painlevé Equations and Their Hierarchies
A. V. Domrin
B. I. Suleimanov
M. A. Shumkin
Proceedings of the Steklov Institute of Mathematics, 2020, 311 : 98 - 113
[5] Auto-Bäcklund Transformations for New Matrix First and Second Painlevé Hierarchies
Gordoa, Pilar Ruiz
Pickering, Andrew
STUDIES IN APPLIED MATHEMATICS, 2025, 154 (01)
[6] Painlevé Hierarchies and the Painlevé Test
A. Pickering
Theoretical and Mathematical Physics, 2003, 137 : 1733 - 1742
[7] Special solutions of the first and second Painlevé equations and singularities of the monodromy data manifold
V. Yu. Novokshenov
Proceedings of the Steklov Institute of Mathematics, 2013, 281 : 105 - 117
[8] Special solutions of the first and second Painlev, equations and singularities of the monodromy data manifold
Novokshenov, V. Yu.
PROCEEDINGS OF THE STEKLOV INSTITUTE OF MATHEMATICS, 2013, 281 : S105 - S117
[9] On the Algebraic Dependence of Solutions of the Second Painlevé Equation
V. I. Gromak
Differential Equations, 2002, 38 : 899 - 901
[10] Airy Solutions of Painlevé’s Second Equation
Norbert Steinmetz
Computational Methods and Function Theory, 2004, 3 (1) : 117 - 126

← 1 2 3 4 5 →