Cartan matrices and integrable lattice Toda field equations

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2011-11-18

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Habibullin, Ismagil
Zheltukhın, Kostyantyn
Yangubaeva, Marina

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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

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Department of Mathematics, Article

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Citation Formats

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.