Invariant Euler-Lagrange equations and the invariant variational bicomplex

Kogan, Irina A.
Olver, Peter J.
2000-12
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Invariant Euler-Lagrange equations and the invariant variational bicomplex

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2000-12

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In this paper, we derive an explicit group-invariant formula for the Euler-Lagrange equations associated with an invariant variational problem. The method relies on a group-invariant version of the variational bicomplex that is based on a general moving frame construction and is of independent interest.

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Institute for Mathematics and Its Applications>IMA Preprints Series

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Kogan, Irina A.; Olver, Peter J.. (2000). Invariant Euler-Lagrange equations and the invariant variational bicomplex. Retrieved from the University Digital Conservancy, https://hdl.handle.net/11299/3517.

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