Abstract:
The derivation of conservation laws for invariant variational problems is based on
Noether's identity. It is shown that this identity also makes it possible to establish
a connection between a basis of conservation laws (with respect to the group $G$ admitted by the considered system of differential equations) and the structure of the Lie algebra of $G$. This provides a justifieation for the basis construction scheme proposed by Ibragimov.
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