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Cartan matrices and integrable lattice Toda field equations
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Date
2011-11-18
Author
Habibullin, Ismagil
Zheltukhın, Kostyantyn
Yangubaeva, Marina
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Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License
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Differential-difference integrable exponential-type systems are studied corresponding to the Cartan matrices of semi-simple or affine Lie algebras. For the systems corresponding to the algebras A(2), B(2), C(2), G(2), the complete sets of integrals in both directions are found. For the simple Lie algebras of the classical series A(N), B(N), C(N) and affine algebras of series D(N)((2)), the corresponding systems are supplied with the Lax representation.
Subject Keywords
Modelling and Simulation
,
Statistics and Probability
,
Mathematical Physics
,
General Physics and Astronomy
,
Statistical and Nonlinear Physics
URI
https://hdl.handle.net/11511/39336
Journal
JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL
DOI
https://doi.org/10.1088/1751-8113/44/46/465202
Collections
Department of Mathematics, Article
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I. Habibullin, K. Zheltukhın, and M. Yangubaeva, “Cartan matrices and integrable lattice Toda field equations,”
JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL
, pp. 0–0, 2011, Accessed: 00, 2020. [Online]. Available: https://hdl.handle.net/11511/39336.