RT Journal Article
T1 Erzeugung nichtlinearer gewöhnlicher Differentialgleichungen mit vorgegebener Lie-Algebra von Punktsymmetrien
A1 Campoamor Stursberg, Otto-Rudwig
AB The goal of this paper is to show that for every n � 4 there exists an ordinary nth-order differential equation which admits exactly SL(2,R) in the usual representation X1 = x · @x, X2 = @x, X3 = x2 · @x, as the corresponding symmetry algebra. At first, the author presents such an ordinary differential equation (ODE) for which the above generators are symmetries, then this ODE is modified by an additional term to exclude further symmetries. The proofs are presented rather as argumentations, whereas the concrete calculations are left to the reader.
PB Heldermann
SN 0949-5932
YR 2004
FD 2004
LK https://hdl.handle.net/20.500.14352/50711
UL https://hdl.handle.net/20.500.14352/50711
LA eng
NO Generation of nonlinear ordinary differential equations with given Lie algebra of point symmetries
DS Docta Complutense
RD 10 abr 2025