Non-integrability of a class of Painleve IV equations as Hamiltonian systems

被引：1

作者：

Shi, Shaoyun ^{[1
]}

Li, Wenlei ^{[1
]}

机构：

[1] Jilin Univ, Coll Math, Changchun 130012, Peoples R China

来源：

JOURNAL OF MATHEMATICAL PHYSICS | 2013年 / 54卷 / 10期

关键词：

2ND;

D O I：

10.1063/1.4826601

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

In this paper, we will prove the rational non-integrability of a class of Hamiltonian systems associated with Painleve IV equation by using Morales-Ramis theory and Kovacic's algorithm, which, to some extent, also implies the non-integrability of the fourth Painleve equation itself. (C) 2013 AIP Publishing LLC.

引用

页数：9

共 50 条

[41] Intersection of separatrices and the non-integrability of multidimensional systems
Dobvysh, SA
RUSSIAN MATHEMATICAL SURVEYS, 2000, 55 (03) : 574 - 575
[42] NON-INTEGRABILITY CRITERION FOR HOMOGENEOUS HAMILTONIAN SYSTEMS VIA BLOWING-UP TECHNIQUE OF SINGULARITIES
Shibayama, Mitsuru
DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS, 2015, 35 (08) : 3707 - 3719
[43] Conditions and evidence for non-integrability in the Friedmann-Robertson-Walker Hamiltonian
Sergi Simon
Journal of Nonlinear Mathematical Physics, 2014, 21 : 1 - 16
[44] Conditions and evidence for non-integrability in the Friedmann-Robertson-Walker Hamiltonian
Simon, Sergi
JOURNAL OF NONLINEAR MATHEMATICAL PHYSICS, 2014, 21 (01) : 1 - 16
[45] NON-INTEGRABILITY OF THE 4TH-ORDER TRUNCATED TODA HAMILTONIAN
YOSHIDA, H
RAMANI, A
GRAMMATICOS, B
PHYSICA D, 1988, 30 (1-2): : 151 - 163
[46] Integrability and non-integrability in quantum mechanics
Kus, M
JOURNAL OF MODERN OPTICS, 2002, 49 (12) : 1979 - 1985
[47] Automorphisms and non-integrability
Pereira, JV
Sánchez, PF
ANAIS DA ACADEMIA BRASILEIRA DE CIENCIAS, 2005, 77 (03): : 379 - 385
[48] Non-integrability of some Painlevé VI-equations and dilogarithms
E. Horozov
T. Stoyanova
Regular and Chaotic Dynamics, 2007, 12 : 622 - 629
[49] Non-integrability and structure of the resonance zones in a class of galactic potentials
Meletlidou, E
Stagika, G
Ichtiaroglou, S
CELESTIAL MECHANICS & DYNAMICAL ASTRONOMY, 2005, 91 (3-4): : 323 - 335
[50] Non-Integrability and Structure of the Resonance Zones in a Class of Galactic Potentials
Efi Meletlidou
Galina Stagika
Simos Ichtiaroglou
Celestial Mechanics and Dynamical Astronomy, 2005, 91 : 323 - 335

← 1 2 3 4 5 →