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Mahomed, K. S.; Momoniat, E.

Symmetry classification of first integrals for scalar linearizable second-order ODEs. (English) Zbl 1272.34046

J. Appl. Math. 2012, Article ID 847086, 14 p. (2012).
The authors discuss how one can determine the relationship between the symmetries and the first integrals of linear or linearizable second-order scalar ODEs. A classification of point symmetries of first integrals for such linear ODEs is considered; there are cases with symmetry algebras with \(k\) generators, with \(0 \leq k \leq 3\), the maximal case is unique.
Reviewer: Giuseppe Gaeta (Milano)

Cited in 1 Review
Cited in 5 Documents

MSC:

34C14 Symmetries, invariants of ordinary differential equations
34A05 Explicit solutions, first integrals of ordinary differential equations

Keywords:

symmetry; first integrals; ODEs
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\textit{K. S. Mahomed} and \textit{E. Momoniat}, J. Appl. Math. 2012, Article ID 847086, 14 p. (2012; Zbl 1272.34046)
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References:

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