Four dimensional Lie symmetry algebras and fourth order ordinary differential equations
Exactly Solvable and Integrable Systems
2015-06-26 v2
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.
Keywords
Cite
@article{arxiv.nlin/0205064,
title = {Four dimensional Lie symmetry algebras and fourth order ordinary differential equations},
author = {T. Cerquetelli and N. Ciccoli and M. C. Nucci},
journal= {arXiv preprint arXiv:nlin/0205064},
year = {2015}
}
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12 pages