Published January 1, 2011
| Version v1
Journal article
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Cartan matrices and integrable lattice Toda field equations
- 1. Russian Acad Sci, Ufa Inst Math, Ufa 450008, Russia
- 2. Middle E Tech Univ, Dept Math, TR-06531 Ankara, Turkey
- 3. Birsk State Social Pedag Acad, Fac Math & Phys, Birsk 452452, Russia
Description
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.
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