On the Darboux integrability of the Painleve II equations

被引：3

作者：

Llibre, Jaume ^{[1
]}

Valls, Claudia ^{[2
]}

机构：

[1] Univ Autonoma Barcelona, Dept Matemat, E-08193 Barcelona, Catalonia, Spain

[2] Inst Super Tecn, Dept Matemat, P-1049001 Lisbon, Portugal

来源：

JOURNAL OF NONLINEAR MATHEMATICAL PHYSICS | 2015年 / 22卷 / 01期

关键词：

Painleve transcendents; Hamiltonian systems; Darboux integrability; POLYNOMIAL HAMILTONIANS;

D O I：

10.1080/14029251.2015.996441

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper we prove the non-existence of Darboux first integrals for the Painleve II equations (x) overdot = y - z/2 - x(2), (y) overdot = alpha + 1/2 + 2xy, (z) overdot = 1 for all values of alpha is an element of C \{alpha(n) : n = 2,4, ...}. These alpha(n) are real and larger than -1/2.

引用

页码：60 / 75

页数：16

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