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Sibirskii Zhurnal Industrial'noi Matematiki, 2016, Volume 19, Number 1, Pages 37–51
DOI: https://doi.org/10.17377/sibjim.2016.19.104 (Mi sjim910) 		 
This article is cited in 3 scientific papers (total in 3 papers)

Group classification of second-order projective-type ODEs

Yu. Yu. Bagderina

Institute of Mathematics with Computer Center of the Ufa Scientific Center of RAS, 112 Chernyshevskii str., 450008 Ufa
Full-text PDF (290 kB) Citations (3)
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DOI: https://doi.org/10.17377/sibjim.2016.19.104
Abstract: Group classification with respect to admitted point transformation groups is implemented for second-order ordinary differential equations with cubic nonlinearity in the first-order derivative. The result is obtained with the use of invariants of the equivalence transformation group of the family of equations under consideration. The corresponding Riemannian metric is found for the equations that are the projection of a system of geodesics to a two-dimensional surface.
Keywords: transformation group, symmetry, equivalence, invariant, group classification.
Funding agency Grant number
Russian Science Foundation 14-11-00078
Received: 14.05.2015
English version:
Journal of Applied and Industrial Mathematics, 2016, Volume 10, Issue 1, Pages 37–50
DOI: https://doi.org/10.1134/S1990478916010051
Bibliographic databases:
Document Type: Article
UDC: 517.925
Language: Russian
Citation: Yu. Yu. Bagderina, “Group classification of second-order projective-type ODEs”, Sib. Zh. Ind. Mat., 19:1 (2016), 37–51; J. Appl. Industr. Math., 10:1 (2016), 37–50
Citation in format AMSBIB
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    • This publication is cited in the following 3 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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