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
收藏
页码：60 / 75
页数：16
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