Classification of the symmetries of ordinary differential equations
ALGEBRES DE LIE
EQUATIONS DIFFERENTIELLES ORDINAIRES
CONGRES ET CONFERENCES
Conference given at the XIIIth International Colloquium on Group Theoretical Methods in Physics. Moscow, june 4-9, 1990
Abstract : We present S. Lie's work on the symmetry of ODE (ordinary differential equations) : action of Diff 2(x,y), the Lie algebra of vector fields of the plane x, y, on the set of ODE ; general form of ODE with a given symmetry algebra ; computation of the symmetry algebra of a given equation. The original part of this conference studies the general linear equation of order n>2 (this has also be done independenty by Mohamed and Leach, ref. [9]). We also present in a more precise form the work of Lie on the finite dimensional subalgebras of Diff2. As an application, we classify the symmetries of second order equations.
MICHEL
KRAUSE
P/90/83
IHES
10/1990
A4
8 f.
EN
TEXTE
PREPUBLICATION
P_90_83.pdf
1990