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.
Institute for Mathematics and Its Applications>IMA Preprints Series
Kogan, Irina A.; Olver, Peter J..
Invariant Euler-Lagrange equations and the invariant variational bicomplex.
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