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Symmetry, Integrability and Geometry: Methods and Applications, 2005, Volume 1, 024, 12 pp.
DOI: https://doi.org/10.3842/SIGMA.2005.024 (Mi sigma24) 		 
This article is cited in 10 scientific papers (total in 10 papers)

Symmetry Properties of Autonomous Integrating Factors

Sibusiso Moyoa, P. G. L. Leachb

a Department of Mathematics, Durban Institute of Technology, PO Box 953, Steve Biko Campus, Durban 4000, Republic of South Africa
b School of Mathematical Sciences, Howard College, University of KwaZulu-Natal, Durban 4041, Republic of South Africa
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DOI: https://doi.org/10.3842/SIGMA.2005.024
Abstract: We study the symmetry properties of autonomous integrating factors from an algebraic point of view. The symmetries are delineated for the resulting integrals treated as equations and symmetries of the integrals treated as functions or configurational invariants. The succession of terms (pattern) is noted. The general pattern for the solution symmetries for equations in the simplest form of maximal order is given and the properties of the associated integrals resulting from this analysis are given.
Keywords: autonomous integrating factors; maximal symmetry.
Received: September 27, 2005; in final form November 21, 2005; Published online December 5, 2005
Bibliographic databases:
Document Type: Article
MSC: 34A05; 34A30; 34C14; 34C20
Language: English
Citation: Sibusiso Moyo, P. G. L. Leach, “Symmetry Properties of Autonomous Integrating Factors”, SIGMA, 1 (2005), 024, 12 pp.
Citation in format AMSBIB
\Bibitem{MoyLea05}
\by Sibusiso Moyo, P.~G.~L.~Leach
\paper Symmetry Properties of Autonomous Integrating Factors
\jour SIGMA
\yr 2005
\vol 1
\papernumber 024
\totalpages 12
\mathnet{http://mi.mathnet.ru/sigma24}
\crossref{https://doi.org/10.3842/SIGMA.2005.024}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2169847}
\zmath{https://zbmath.org/?q=an:1106.34022}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000207064600024}
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    • This publication is cited in the following 10 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Symmetry, Integrability and Geometry: Methods and Applications
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