Are there Contact Transformations for Discrete Equations?
classification
🧮 math-ph
math.MP
keywords
transformationscontactdefinedependdifferencediscreteequationsexist
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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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