Invariants of differential equations defined by vector fields

Details Invariants of differential equations defined by vector fields Invariants of differential equations defined by vector fields

2007-09-27

arxiv.org/abs/0709.4435v1

Physics

Mathematical Physics

13 pages

Scientific paper

10.1088/1751-8113/41/2/025207

We determine the most general group of equivalence transformations for a
family of differential equations defined by an arbitrary vector field on a
manifold. We also find all invariants and differential invariants for this
group up to the second order. A result on the characterization of classes of
these equations by the invariant functions is also given.

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