On the invariance and conservation laws of differential equations

A. H. Kara

doi:10.1080/0035919X.2020.1850541

On the invariance and conservation laws of differential equations

A. H. Kara^*

^*Corresponding author for this work

King Fahd University of Petroleum & Minerals

Research output: Contribution to journal › Review article › peer-review

9 Scopus citations

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.

Original language	English
Pages (from-to)	89-95
Number of pages	7
Journal	Transactions of the Royal Society of South Africa
Volume	76
Issue number	1
DOIs	https://doi.org/10.1080/0035919X.2020.1850541
State	Published - 2021

Bibliographical note

Publisher Copyright:
© 2021 Royal Society of South Africa.

Keywords

conservation laws
symmetries

ASJC Scopus subject areas

General Environmental Science
General Agricultural and Biological Sciences
General Earth and Planetary Sciences

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10.1080/0035919X.2020.1850541

Cite this

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On the invariance and conservation laws of differential equations

Abstract

Bibliographical note

Keywords

ASJC Scopus subject areas

Access to Document

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Cite this