Cartan matrices and integrable lattice Toda field equations

Differential-difference integrable exponential-type systems are studied corresponding to the Cart an matrices of semi-simple or affine Lie algebras. For the systems corresponding to the algebras A sub(2), B sub(2), C sub(2), G sub(2), the complete sets of integrals in both directions are found. For...

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Bibliographic Details
Published in:Journal of physics. A, Mathematical and theoretical Mathematical and theoretical, 2011-11, Vol.44 (46), p.465202-20
Main Authors: Habibullin, Ismagil, Zheltukhin, Kostyantyn, Yangubaeva, Marina
Format: Article
Language:English
Subjects:
Algebra
Carts
Lattices
Lie groups
Mathematical analysis
Matrices (mathematics)
Matrix methods
Representations
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Summary:Differential-difference integrable exponential-type systems are studied corresponding to the Cart an matrices of semi-simple or affine Lie algebras. For the systems corresponding to the algebras A sub(2), B sub(2), C sub(2), G sub(2), the complete sets of integrals in both directions are found. For the simple Lie algebras of the classical series A sub()N B sub()N C sub()Nand affine algebras of series (ProQuest: Formulae and/or non-USASCII text omitted) the corresponding systems are supplied with the Lax representation.
ISSN:1751-8121
1751-8113
1751-8121
DOI:10.1088/1751-8113/44/46/465202