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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| Format: | Article |
| Language: | English |
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National Academy of Science of Ukraine
2005-12-01
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| Series: | Symmetry, Integrability and Geometry: Methods and Applications |
| Subjects: | |
| Online Access: | http://www.emis.de/journals/SIGMA/2005/Paper023/ |
| _version_ | 1811337423914795008 |
|---|---|
| author | Ismagil T. Habibullin |
| author_facet | Ismagil T. Habibullin |
| author_sort | Ismagil T. Habibullin |
| collection | DOAJ |
| 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 | 2024-04-13T17:54:42Z |
| format | Article |
| id | doaj.art-ebc8e4ee95694036bc17b44af2c44c0f |
| institution | Directory Open Access Journal |
| issn | 1815-0659 |
| language | English |
| last_indexed | 2024-04-13T17:54:42Z |
| publishDate | 2005-12-01 |
| publisher | National Academy of Science of Ukraine |
| record_format | Article |
| series | Symmetry, Integrability and Geometry: Methods and Applications |
| spelling | doaj.art-ebc8e4ee95694036bc17b44af2c44c0f2022-12-22T02:36:34ZengNational Academy of Science of UkraineSymmetry, Integrability and Geometry: Methods and Applications1815-06592005-12-011023Characteristic Algebras of Fully Discrete Hyperbolic Type EquationsIsmagil T. HabibullinThe 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.http://www.emis.de/journals/SIGMA/2005/Paper023/discrete equationsinvariantLie algebraexact solutionLiuoville type equation |
| spellingShingle | Ismagil T. Habibullin Characteristic Algebras of Fully Discrete Hyperbolic Type Equations Symmetry, Integrability and Geometry: Methods and Applications discrete equations invariant Lie algebra exact solution Liuoville type equation |
| 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 |
| topic | discrete equations invariant Lie algebra exact solution Liuoville type equation |
| url | http://www.emis.de/journals/SIGMA/2005/Paper023/ |
| work_keys_str_mv | AT ismagilthabibullin characteristicalgebrasoffullydiscretehyperbolictypeequations |