
SIGMA 1 (2005), 023, 9 pages nlin.SI/0506027
http://dx.doi.org/10.3842/SIGMA.2005.023
Characteristic Algebras of Fully Discrete Hyperbolic Type Equations
Ismagil T. Habibullin
Institute of Mathematics, Ufa Scientific Center, Russian Academy of Sciences, 112 Chernyshevski
Str., Ufa, 450077 Russia
Received August 04, 2005, in final form November 30,
2005; Published online December 02, 2005
Abstract
The notion of the characteristic Lie algebra of the
discrete hyperbolic type equation is introduced. An effective
algorithm to compute the algebra for the equation given is
suggested. Examples and further applications are discussed.
Key words:
discrete equations; invariant; Lie algebra; exact solution; Liuoville type
equation.
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