Are there Contact Transformations for Discrete Equations?

Details Are there Contact Transformations for Discrete Equations? Are there Contact Transformations for Discrete Equations?

2011-02-15

arxiv.org/abs/1102.2949v1

Physics

Mathematical Physics

5 pages

Scientific paper

We define infinitesimal contact transformations for ordinary difference
schemes as transformations that depend on $K+1$ lattice points $(K \geq 1)$ and
can be integrated to form a local or global Lie group. We then prove that such
contact transformations do not exist.

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