The theory of Lie remarkable equations, i.e., differential equations characterized by their Lie point symmetries, is reviewed and applied to ordinary differential equations. In particular, we consider some relevant Lie algebras of vector fields on Rk and characterize Lie remarkable equations admitted by the considered Lie algebras. © 2014 Elsevier B.V. All rights reserved.
Ordinary differential equations described by their Lie symmetry algebra
OLIVERI, Francesco;
2014-01-01
Abstract
The theory of Lie remarkable equations, i.e., differential equations characterized by their Lie point symmetries, is reviewed and applied to ordinary differential equations. In particular, we consider some relevant Lie algebras of vector fields on Rk and characterize Lie remarkable equations admitted by the considered Lie algebras. © 2014 Elsevier B.V. All rights reserved.File in questo prodotto:
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