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A note on four-dimensional symmetry algebras and fourth-order ordinary differential equations. (English) Zbl 1266.34056

Summary: We provide a supplementation of the results on the canonical forms for scalar fourth-order ordinary differential equations (ODEs) which admit four-dimensional Lie algebras obtained recently. Together with these new canonical forms, a complete list of scalar fourth-order ODEs that admit four-dimensional Lie algebras is available.

MSC:

34C14 Symmetries, invariants of ordinary differential equations
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