A Lagrangian description of the higher-order Painlev, equations

被引：0
|
作者：
Choudhury, A. Ghose [1 ,2 ]
Guha, Partha [1 ,2 ]
Kudryashov, N. A. [3 ]
机构：
[1] Surendranath Coll, Dept Phys, Kolkata 700009, W Bengal, India
[2] SN Bose Natl Ctr Basic Sci, Kolkata 700098, India
[3] Natl Res Nucl Univ, Dept Appl Math, Moscow 115409, Russia
来源：
COMPUTATIONAL MATHEMATICS AND MATHEMATICAL PHYSICS | 2012年 / 52卷 / 05期
关键词：
Higher-order Painleve equation; Painleve test; Lagrangian; Juras conditions; ORDINARY DIFFERENTIAL-EQUATIONS; INVERSE PROBLEM; 1ST; CALCULUS; POINTS;
D O I：
10.1134/S0965542512050089
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We derive the Lagrangians of the higher-order Painlev, equations using Jacobi's last multiplier technique. Some of these higher-order differential equations display certain remarkable properties like passing the Painlev, test and satisfy the conditions stated by Jura, thus allowing for a Lagrangian description.
引用
收藏
页码：746 / 755
页数：10
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