Affine and Finite Lie Algebras and Integrable Toda Field Equations on Discrete Space-Time
Vernadsky National Library of Ukraine
Переглянути архів Інформація| Поле | Співвідношення | |
| Title |
Affine and Finite Lie Algebras and Integrable Toda Field Equations on Discrete Space-Time
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| Creator |
Garifullin, R.
Habibullin, I. Yangubaeva, M. |
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| 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.
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| Date |
2019-02-18T13:17:26Z
2019-02-18T13:17:26Z 2012 |
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| Type |
Article
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| Identifier |
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 |
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| Language |
en
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| Relation |
Symmetry, Integrability and Geometry: Methods and Applications
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| Publisher |
Інститут математики НАН України
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