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

页码：746 / 755

页数：10

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