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Four dimensional Lie symmetry algebras and fourth order ordinary differential equations

T. Cerquetelli·N. Ciccoli·M. C. Nucci
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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.

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T. Cerquetelli, N. Ciccoli, M. C. Nucci. 2003-08-31. Four dimensional Lie symmetry algebras and fourth order ordinary differential equations. https://doi.org/10.2991/jnmp.2002.9.s2.3

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