Equivalence of higher-order lagrangians: III. new invariant differential equations

Niky Kamran, Peter J. Olver

Research output: Contribution to journalArticle

8 Scopus citations

Abstract

The solution to the equivalence problem for a higher-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 Poincaré-Cartan form is discussed.

Original languageEnglish (US)
Pages (from-to)601-621
Number of pages21
JournalNonlinearity
Volume5
Issue number2
DOIs
StatePublished - Mar 1992

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