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Invariants and invariant description of second-order ODEs with three infinitesimal symmetries. I

✍ Scribed by Nail H. Ibragimov; Sergey V. Meleshko

Book ID
108095738
Publisher
Elsevier Science
Year
2007
Tongue
English
Weight
208 KB
Volume
12
Category
Article
ISSN
1007-5704

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✍ R. Campoamor-Stursberg πŸ“‚ Article πŸ“… 2011 πŸ› Elsevier Science 🌐 English βš– 245 KB

Starting from the study of the symmetries of systems of 4 second-order linear ODEs with constant real coefficients, we determine the dimension and generators of the symmetry algebra for systems of \(n\) equations described by a diagonal Jordan canonical form. We further prove that some dimensions be