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Transactions of the Royal Society of South Africa Volume 76, 2021 - Issue 1
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On the invariance and conservation laws of differential equations

AH Kara
Pages 89-95 | Published online: 01 Feb 2021
 
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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.

DISCLOSURE STATEMENT

No potential conflict of interest was reported by the author.

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