Ismagil T. Habibullin, “Characteristic Algebras of Fully Discrete Hyperbolic Type Equations”, SIGMA, 2005, Volume 1,023, 9 pp.

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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

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.

Keywords: discrete equations; invariant; Lie algebra; exact solution; Liuoville type equation.

MSC: 37D99; 37K60; 39A12

Received: August 4, 2005; in final form November 30, 2005; Published online December 2, 2005

Language: English

DOI: 10.3842/SIGMA.2005.023