Characteristic Algebras of Fully Discrete Hyperbolic Type Equations

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.

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Published in:Symmetry, Integrability and Geometry: Methods and Applications
Date:2005
Main Author: Habibullin, I.T.
Format: Article
Language:English
Published: Інститут математики НАН України 2005
Online Access:https://nasplib.isofts.kiev.ua/handle/123456789/209337
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Journal Title:Digital Library of Periodicals of National Academy of Sciences of Ukraine
Cite this:Characteristic Algebras of Fully Discrete Hyperbolic Type Equations / I.T. Habibullin // Symmetry, Integrability and Geometry: Methods and Applications. — 2005. — Т. 1. — Бібліогр.: 8 назв. — англ.

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Digital Library of Periodicals of National Academy of Sciences of Ukraine
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author Habibullin, I.T.
author_facet Habibullin, I.T.
citation_txt Characteristic Algebras of Fully Discrete Hyperbolic Type Equations / I.T. Habibullin // Symmetry, Integrability and Geometry: Methods and Applications. — 2005. — Т. 1. — Бібліогр.: 8 назв. — англ.
collection DSpace DC
container_title Symmetry, Integrability and Geometry: Methods and Applications
description 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.
first_indexed 2025-12-07T17:02:28Z
format Article
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institution Digital Library of Periodicals of National Academy of Sciences of Ukraine
issn 1815-0659
language English
last_indexed 2025-12-07T17:02:28Z
publishDate 2005
publisher Інститут математики НАН України
record_format dspace
spelling Habibullin, I.T.
2025-11-19T12:21:05Z
2005
Characteristic Algebras of Fully Discrete Hyperbolic Type Equations / I.T. Habibullin // Symmetry, Integrability and Geometry: Methods and Applications. — 2005. — Т. 1. — Бібліогр.: 8 назв. — англ.
1815-0659
2000 Mathematics Subject Classification: 37D99; 37K60; 39A12
https://nasplib.isofts.kiev.ua/handle/123456789/209337
https://doi.org/10.3842/SIGMA.2005.023
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.
The author thanks A.V. Zhiber for fruitful discussions. The work has been supported by the grant RFBR # 05-01-00775.
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Інститут математики НАН України
Symmetry, Integrability and Geometry: Methods and Applications
Characteristic Algebras of Fully Discrete Hyperbolic Type Equations
Article
published earlier
spellingShingle Characteristic Algebras of Fully Discrete Hyperbolic Type Equations
Habibullin, I.T.
title Characteristic Algebras of Fully Discrete Hyperbolic Type Equations
title_full Characteristic Algebras of Fully Discrete Hyperbolic Type Equations
title_fullStr Characteristic Algebras of Fully Discrete Hyperbolic Type Equations
title_full_unstemmed Characteristic Algebras of Fully Discrete Hyperbolic Type Equations
title_short Characteristic Algebras of Fully Discrete Hyperbolic Type Equations
title_sort characteristic algebras of fully discrete hyperbolic type equations
url https://nasplib.isofts.kiev.ua/handle/123456789/209337
work_keys_str_mv AT habibullinit characteristicalgebrasoffullydiscretehyperbolictypeequations