Lie symmetries of difference equations

Authors
Levi, D Negro, J del Olmo, MA
Citation
D. Levi et al., Lie symmetries of difference equations, CZEC J PHYS, 51(4), 2001, pp. 341-348
Citations number
12
Categorie Soggetti
Physics
Journal title
CZECHOSLOVAK JOURNAL OF PHYSICS
ISSN journal
00114626 → ACNP
Volume
51
Issue
4
Year of publication
2001
Pages
341 - 348
Database
ISI
SICI code
0011-4626(200104)51:4<341:LSODE>2.0.ZU;2-9
Abstract
The discrete heat equation is worked out to illustrate the search of symmet ries of difference equations. Special attention it is paid to the Lie struc ture of these symmetries, as well as to their dependence on the derivative' s discretization. The case of q-symmetries for discrete equations in a q-la ttice is briefly considered at the end.