Abstract
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 induced by a general equivariant moving frame construction, and is of independent interest.
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Kogan, I.A., Olver, P.J. Invariant Euler–Lagrange Equations and the Invariant Variational Bicomplex. Acta Applicandae Mathematicae 76, 137–193 (2003). https://doi.org/10.1023/A:1022993616247
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DOI: https://doi.org/10.1023/A:1022993616247