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This article is cited in 37 scientific papers (total in 37 papers)
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.
Received: August 4, 2005; in final form November 30, 2005; Published online December 2, 2005
Citation:
Ismagil T. Habibullin, “Characteristic Algebras of Fully Discrete Hyperbolic Type Equations”, SIGMA, 1 (2005), 023, 9 pp.
Linking options:
https://www.mathnet.ru/eng/sigma23 https://www.mathnet.ru/eng/sigma/v1/p23
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Abstract page: | 349 | Full-text PDF : | 69 | References: | 66 |
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