Theoretical and Mathematical Physics

, Volume 119, Issue 1, pp 420–430 | Cite as

Equations of motion and conserved quantities in non-Abelian discrete integrable models

  • V. A. Verbus
  • A. P. Protogenov


Conserved quantities for the Hirota bilinear difference equation, which is satisfied by eigenvalues of the transfer matrix, are studied. The transfer-matrix eigenvalue combinations that are integrals of motion for discrete integrable models, which correspond to Ak−1 algebras and satisfy zero or quasi-periodic boundary conditions, are found. Discrete equations of motion for a non-Abelian generalization of the Liouville model and the discrete analogue of the Tsitseiko equation are obtained.


Continuous Limit Discrete Equation Hirota Equation Lipan Liouville Model 
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Copyright information

© Kluwer Academic/Plenum Publishers 1999

Authors and Affiliations

  • V. A. Verbus
    • 1
  • A. P. Protogenov
    • 2
  1. 1.Institute for Physics of MicrostructuresRASNizhnii NovgorodRussia
  2. 2.Institute for Applied PhysicsRASNizhnii NovgorodRussia

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