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.
2011
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].
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11590/155498
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