We define infinitesimal contact transformations for ordinary difference schemes as transformations that depend on K + 1 lattice points (K >= 1) and can be integrated to form a local or global Lie group. We then prove that such contact transformations do not exist.
Levi, D., Thomova, Z., Winternitz, P. (2011). Are there contact transformations for discrete equations?. JOURNAL OF PHYSICS. A, MATHEMATICAL AND THEORETICAL, 44(26) [10.1088/1751-8113/44/26/265201].
Are there contact transformations for discrete equations?
LEVI, Decio;
2011-01-01
Abstract
We define infinitesimal contact transformations for ordinary difference schemes as transformations that depend on K + 1 lattice points (K >= 1) and can be integrated to form a local or global Lie group. We then prove that such contact transformations do not exist.File in questo prodotto:
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