Hidden and contact symmetries of ordinary differential equations

B Abraham-Shrauner, PGL Leach… - Journal of Physics A …, 1995 - iopscience.iop.org
The Lie algebra for the maximal contact symmetries of third-order ordinary differential
equations (ODEs) is examined for type I and II hidden symmetries where the analysis of
hidden symmetries for point symmetries is extended to contact symmetries. Ones invariant
under the group associated with the ten-dimensional (maximal) Lie algebra may produce
type I hidden symmetries for two-parameter subgroups and type II hidden symmetries for
certain solvable non-Abelian three-parameter subgroups in the third-order ODEs when they …

Hidden and contact symmetries of ordinary differential equations

L PGL - 1995 - arch.neicon.ru
The Lie algebra for the maximal contact symmetries of third-order ordinary differential
equations (ODEs) is examined for type I and II hidden symmetries where the analysis of
hidden symmetries for point symmetries is extended to contact symmetries. Ones invariant
under the group associated with the ten-dimensional (maximal) Lie algebra may produce
type I hidden symmetries for two-parameter subgroups and type II hidden symmetries for
certain solvable non-Abelian three-parameter subgroups in the third-order ODEs when they …
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