The Differential Form Method for Finding Symmetries

This article reviews the use of differential forms and Lie derivatives to find symmetries of differential equations, as originally presented in Harrison and Estabrook, J. Math. Phys., 12 (1971), 653. An outline of the method is given, followed by examples and references to recent papers using the me...

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Published in:Symmetry, Integrability and Geometry: Methods and Applications
Date:2005
Main Author: Harrison, B.K.
Format: Article
Language:English
Published: Інститут математики НАН України 2005
Online Access:https://nasplib.isofts.kiev.ua/handle/123456789/209359
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Journal Title:Digital Library of Periodicals of National Academy of Sciences of Ukraine
Cite this:The Differential Form Method for Finding Symmetries / B.K. Harrison // Symmetry, Integrability and Geometry: Methods and Applications. — 2005. — Т. 1. — Бібліогр.: 59 назв. — англ.

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Digital Library of Periodicals of National Academy of Sciences of Ukraine
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author Harrison, B.K.
author_facet Harrison, B.K.
citation_txt The Differential Form Method for Finding Symmetries / B.K. Harrison // Symmetry, Integrability and Geometry: Methods and Applications. — 2005. — Т. 1. — Бібліогр.: 59 назв. — англ.
collection DSpace DC
container_title Symmetry, Integrability and Geometry: Methods and Applications
description This article reviews the use of differential forms and Lie derivatives to find symmetries of differential equations, as originally presented in Harrison and Estabrook, J. Math. Phys., 12 (1971), 653. An outline of the method is given, followed by examples and references to recent papers using the method.
first_indexed 2025-11-26T20:46:22Z
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institution Digital Library of Periodicals of National Academy of Sciences of Ukraine
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language English
last_indexed 2025-11-26T20:46:22Z
publishDate 2005
publisher Інститут математики НАН України
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spelling Harrison, B.K.
2025-11-19T12:32:48Z
2005
The Differential Form Method for Finding Symmetries / B.K. Harrison // Symmetry, Integrability and Geometry: Methods and Applications. — 2005. — Т. 1. — Бібліогр.: 59 назв. — англ.
1815-0659
2000 Mathematics Subject Classification: 22E70; 34A26; 35A25; 35A30; 53Z05
https://nasplib.isofts.kiev.ua/handle/123456789/209359
https://doi.org/10.3842/SIGMA.2005.001
This article reviews the use of differential forms and Lie derivatives to find symmetries of differential equations, as originally presented in Harrison and Estabrook, J. Math. Phys., 12 (1971), 653. An outline of the method is given, followed by examples and references to recent papers using the method.
Thanks to Anatoly Nikitin for the suggestion to present this topic, and to Vyacheslav Boyko for help with the literature.
en
Інститут математики НАН України
Symmetry, Integrability and Geometry: Methods and Applications
The Differential Form Method for Finding Symmetries
Article
published earlier
spellingShingle The Differential Form Method for Finding Symmetries
Harrison, B.K.
title The Differential Form Method for Finding Symmetries
title_full The Differential Form Method for Finding Symmetries
title_fullStr The Differential Form Method for Finding Symmetries
title_full_unstemmed The Differential Form Method for Finding Symmetries
title_short The Differential Form Method for Finding Symmetries
title_sort differential form method for finding symmetries
url https://nasplib.isofts.kiev.ua/handle/123456789/209359
work_keys_str_mv AT harrisonbk thedifferentialformmethodforfindingsymmetries
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