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Abstract
In this paper, we put together a number of results dealing with the interplay between symmetries and conservation laws of partial differential equations (pdes) and extensions to pdes involving perturbations. The results will emphasise the independence on an ‘exact’ Lagrangian for the pdes so that the celebrated result of Noether is, in some senses, extended to non-variational systems. A number of examples are presented.
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DISCLOSURE STATEMENT
No potential conflict of interest was reported by the author.