We discuss the role of dilation symmetries for differential difference equations depending on nearest-neighbour interactions. In particular, we show that for a simple class of differential difference equations of this kind, symmetries which depend linearly on lime are only compatible with linearizable equations.

Levi, D., Yamilov, R. (1999). Dilation symmetries and equations on the lattice. JOURNAL OF PHYSICS. A, MATHEMATICAL AND GENERAL, 32(47), 8317-8323 [10.1088/0305-4470/32/47/310].

Dilation symmetries and equations on the lattice

LEVI, Decio;
1999-01-01

Abstract

We discuss the role of dilation symmetries for differential difference equations depending on nearest-neighbour interactions. In particular, we show that for a simple class of differential difference equations of this kind, symmetries which depend linearly on lime are only compatible with linearizable equations.
1999
Levi, D., Yamilov, R. (1999). Dilation symmetries and equations on the lattice. JOURNAL OF PHYSICS. A, MATHEMATICAL AND GENERAL, 32(47), 8317-8323 [10.1088/0305-4470/32/47/310].
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11590/119914
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