Realizations of four dimensional Lie algebras as vector fields in the plane are explicitly constructed. Fourth order ordinary differential equations which admit such Lie symmetry algebras are derived. The route to their integration is described.
Cerquetelli T., CICCOLI, N., NUCCI, M.C. (2002). Four dimensional Lie symmetry algebras and fourth order ordinary differential equations. JOURNAL OF NONLINEAR MATHEMATICAL PHYSICS, 9-suppl. 2, 24-35 [10.2991/jnmp.2002.9.Supplement 2.3].
Four dimensional Lie symmetry algebras and fourth order ordinary differential equations
NUCCI, Maria Clara
2002
Abstract
Realizations of four dimensional Lie algebras as vector fields in the plane are explicitly constructed. Fourth order ordinary differential equations which admit such Lie symmetry algebras are derived. The route to their integration is described.File in questo prodotto:
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