Four dimensional Lie symmetry algebras and fourth order ordinary differential equations

Details Four dimensional Lie symmetry algebras and fourth order ordinary differential equations Four dimensional Lie symmetry algebras and fourth order ordinary differential equations

2002-05-29

arxiv.org/abs/nlin/0205064v2

J. Nonlinear Math. Phys. 9-suppl 2 (2002) pp. 24-35

Nonlinear Sciences

Exactly Solvable and Integrable Systems

12 pages

Scientific paper

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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