A discrete Cole-Hopf transformation is used to derive a discrete Burgers equation that is linearizable to a discrete heat equation. A five-dimensional symmetry algebra is obtained that reduces to the Lie point symmetry algebra of the usual Burgers equation, in the continuous limit. This Lie algebra is used to obtain explicit invariant solutions.
Heredero, R.h., Levi, D., Winternitz, P. (1999). Symmetries of the discrete Burgers equation. JOURNAL OF PHYSICS. A, MATHEMATICAL AND GENERAL, 32(14), 2685-2695 [10.1088/0305-4470/32/14/009].
Symmetries of the discrete Burgers equation
LEVI, Decio;
1999-01-01
Abstract
A discrete Cole-Hopf transformation is used to derive a discrete Burgers equation that is linearizable to a discrete heat equation. A five-dimensional symmetry algebra is obtained that reduces to the Lie point symmetry algebra of the usual Burgers equation, in the continuous limit. This Lie algebra is used to obtain explicit invariant solutions.File in questo prodotto:
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