Affine and Finite Lie Algebras and Integrable Toda Field Equations on Discrete Space-Time
Difference-difference systems are suggested corresponding to the Cartan matrices of any simple or affine Lie algebra. In the cases of the algebras AN, BN, CN, G₂, D₃, A₁⁽¹⁾, A₂⁽²⁾, DN⁽²⁾ these systems are proved to be integrable. For the systems corresponding to the algebras A₂, A₁⁽¹⁾, A₂⁽²⁾ genera...
Збережено в:
| Дата: | 2012 |
|---|---|
| Автори: | , , |
| Формат: | Стаття |
| Мова: | English |
| Опубліковано: |
Інститут математики НАН України
2012
|
| Назва видання: | Symmetry, Integrability and Geometry: Methods and Applications |
| Онлайн доступ: | http://dspace.nbuv.gov.ua/handle/123456789/148464 |
| Теги: |
Додати тег
Немає тегів, Будьте першим, хто поставить тег для цього запису!
|
| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Цитувати: | Affine and Finite Lie Algebras and Integrable Toda Field Equations on Discrete Space-Time / R. Garifullin, I. Habibullin, M. Yangubaeva // Symmetry, Integrability and Geometry: Methods and Applications. — 2012. — Т. 8. — Бібліогр.: 41 назв. — англ. |
Репозитарії
Digital Library of Periodicals of National Academy of Sciences of Ukraine| id |
irk-123456789-148464 |
|---|---|
| record_format |
dspace |
| spelling |
irk-123456789-1484642019-02-19T01:25:47Z Affine and Finite Lie Algebras and Integrable Toda Field Equations on Discrete Space-Time Garifullin, R. Habibullin, I. Yangubaeva, M. Difference-difference systems are suggested corresponding to the Cartan matrices of any simple or affine Lie algebra. In the cases of the algebras AN, BN, CN, G₂, D₃, A₁⁽¹⁾, A₂⁽²⁾, DN⁽²⁾ these systems are proved to be integrable. For the systems corresponding to the algebras A₂, A₁⁽¹⁾, A₂⁽²⁾ generalized symmetries are found. For the systems A₂, B₂, C₂, G₂, D₃ complete sets of independent integrals are found. The Lax representation for the difference-difference systems corresponding to AN, BN, CN, A₁⁽¹⁾,DN⁽²⁾ are presented. 2012 Article Affine and Finite Lie Algebras and Integrable Toda Field Equations on Discrete Space-Time / R. Garifullin, I. Habibullin, M. Yangubaeva // Symmetry, Integrability and Geometry: Methods and Applications. — 2012. — Т. 8. — Бібліогр.: 41 назв. — англ. 1815-0659 2010 Mathematics Subject Classification: 35Q53; 37K40 DOI: http://dx.doi.org/10.3842/SIGMA.2012.062 http://dspace.nbuv.gov.ua/handle/123456789/148464 en Symmetry, Integrability and Geometry: Methods and Applications Інститут математики НАН України |
| institution |
Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| collection |
DSpace DC |
| language |
English |
| description |
Difference-difference systems are suggested corresponding to the Cartan matrices of any simple or affine Lie algebra. In the cases of the algebras AN, BN, CN, G₂, D₃, A₁⁽¹⁾, A₂⁽²⁾, DN⁽²⁾ these systems are proved to be integrable. For the systems corresponding to the algebras A₂, A₁⁽¹⁾, A₂⁽²⁾ generalized symmetries are found. For the systems A₂, B₂, C₂, G₂, D₃ complete sets of independent integrals are found. The Lax representation for the difference-difference systems corresponding to AN, BN, CN, A₁⁽¹⁾,DN⁽²⁾ are presented. |
| format |
Article |
| author |
Garifullin, R. Habibullin, I. Yangubaeva, M. |
| spellingShingle |
Garifullin, R. Habibullin, I. Yangubaeva, M. Affine and Finite Lie Algebras and Integrable Toda Field Equations on Discrete Space-Time Symmetry, Integrability and Geometry: Methods and Applications |
| author_facet |
Garifullin, R. Habibullin, I. Yangubaeva, M. |
| author_sort |
Garifullin, R. |
| title |
Affine and Finite Lie Algebras and Integrable Toda Field Equations on Discrete Space-Time |
| title_short |
Affine and Finite Lie Algebras and Integrable Toda Field Equations on Discrete Space-Time |
| title_full |
Affine and Finite Lie Algebras and Integrable Toda Field Equations on Discrete Space-Time |
| title_fullStr |
Affine and Finite Lie Algebras and Integrable Toda Field Equations on Discrete Space-Time |
| title_full_unstemmed |
Affine and Finite Lie Algebras and Integrable Toda Field Equations on Discrete Space-Time |
| title_sort |
affine and finite lie algebras and integrable toda field equations on discrete space-time |
| publisher |
Інститут математики НАН України |
| publishDate |
2012 |
| url |
http://dspace.nbuv.gov.ua/handle/123456789/148464 |
| citation_txt |
Affine and Finite Lie Algebras and Integrable Toda Field Equations on Discrete Space-Time / R. Garifullin, I. Habibullin, M. Yangubaeva // Symmetry, Integrability and Geometry: Methods and Applications. — 2012. — Т. 8. — Бібліогр.: 41 назв. — англ. |
| series |
Symmetry, Integrability and Geometry: Methods and Applications |
| work_keys_str_mv |
AT garifullinr affineandfiniteliealgebrasandintegrabletodafieldequationsondiscretespacetime AT habibullini affineandfiniteliealgebrasandintegrabletodafieldequationsondiscretespacetime AT yangubaevam affineandfiniteliealgebrasandintegrabletodafieldequationsondiscretespacetime |
| first_indexed |
2023-05-20T17:30:44Z |
| last_indexed |
2023-05-20T17:30:44Z |
| _version_ |
1796153465882279936 |