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Symmetry, Integrability and Geometry: Methods and Applications, 2005, Volume 1, 006, 14 pp.
DOI: https://doi.org/10.3842/SIGMA.2005.006 (Mi sigma6) 		 
This article is cited in 13 scientific papers (total in 13 papers)

Structure of Symmetry Groups via Cartan's Method: Survey of Four Approaches

O. I. Morozov

Moscow State Technical University of Civil Aviation, 125993 Moscow, Russia
Full-text PDF (283 kB) Citations (13)
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DOI: https://doi.org/10.3842/SIGMA.2005.006
Abstract: In this review article we discuss four recent methods for computing Maurer–Cartan structure equations of symmetry groups of differential equations. Examples include solution of the contact equivalence problem for linear hyperbolic equations and finding a contact transformation between the generalized Hunter–Saxton equation and the Euler–Poisson equation.
Keywords: Lie pseudo-groups; Maurer–Cartan forms; structure equations;symmetries of differential equations.
Received: August 8, 2005; in final form September 29, 2005; Published online October 13, 2005
Bibliographic databases:
Document Type: Article
MSC: 58H05; 58J70; 35A30
Language: English
Citation: O. I. Morozov, “Structure of Symmetry Groups via Cartan's Method: Survey of Four Approaches”, SIGMA, 1 (2005), 006, 14 pp.
Citation in format AMSBIB
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\by O.~I.~Morozov
\paper Structure of Symmetry Groups via Cartan's Method: Survey of Four Approaches
\jour SIGMA
\yr 2005
\vol 1
\papernumber 006
\totalpages 14
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\crossref{https://doi.org/10.3842/SIGMA.2005.006}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2173593}
\zmath{https://zbmath.org/?q=an:1092.58017}
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    • This publication is cited in the following 13 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Symmetry, Integrability and Geometry: Methods and Applications
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