LAGRANGIANS FOR EQUATIONS OF PAINLEVE TYPE BY MEANS OF THE JACOBI LAST MULTIPLIER

被引：11

作者：

D'Ambrosi, G. ^{[1
]}

Nucci, M. C. ^{[1
]}

机构：

[1] Univ Perugia, Dipartimento Matemat & Informat, I-06123 Perugia, Italy

来源：

JOURNAL OF NONLINEAR MATHEMATICAL PHYSICS | 2009年 / 16卷

关键词：

Ordinary differential equations; equations of Painleve type; Lagrangians; Jacobi Last Multiplier; LIE SYMMETRIES;

D O I：

10.1142/S1402925109000327

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We apply the method of Jacobi Last Multiplier to the fifty second-order ordinary differential equations of Painleve type as given in Ince in order to obtain a Lagrangian and consequently solve the inverse problem of Calculus of Variations for those equations. The easiness and straightforwardness of Jacobi's method is underlined.

引用

页码：61 / 71

页数：11

共 18 条

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[5]

EULER L, 1769, I CALCULI INTEGRALIS

[6]

Ince E. L., 1956, Ordinary Differential Equations

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Jacobi C G J., 1845, J. Reine Angew. Math, V29, P333

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[9]

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[10]

Jacobi C.G.J., 1844, GIORNALE ARCADICO SC, VXCIX, P129

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