EQUIVALENCE OF HIGHER-ORDER LAGRANGIANS .3. NEW INVARIANT DIFFERENTIAL-EQUATIONS

被引：11

作者：

KAMRAN, N ^{[1
]}

OLVER, PJ ^{[1
]}

机构：

[1] UNIV MINNESOTA,SCH MATH,MINNEAPOLIS,MN 55455

来源：

NONLINEARITY | 1992年 / 5卷 / 02期

关键词：

D O I：

10.1088/0951-7715/5/2/014

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The solution to the equivalence problem for a high-order Lagrangian leads to new differential equations which are invariantly associated with the variational functional. We derive explicit expressions for these equations in the case of second-order particle Lagrangians on the line under fibre-preserving, point and contact transformations. A geometrical interpretation of these equations based on the Poincare-Cartan form is discussed.

引用

页码：601 / 621

页数：21

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