Communications in Mathematical Physics

, Volume 79, Issue 4, pp 473–488 | Cite as

Two-dimensional generalized Toda lattice

  • A. V. Mikhailov
  • M. A. Olshanetsky
  • A. M. Perelomov


The zero curvature representation is obtained for the two-dimensional generalized Toda lattices connected with semisimple Lie algebras. The reduction group and conservation laws are found and the mass spectrum is calculated.


Neural Network Statistical Physic Mass Spectrum Complex System Nonlinear Dynamics 
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Copyright information

© Springer-Verlag 1981

Authors and Affiliations

  • A. V. Mikhailov
    • 1
  • M. A. Olshanetsky
    • 2
  • A. M. Perelomov
    • 2
  1. 1.Landau Institute of Theoretical Physics USSRUSSR
  2. 2.Institute of Theoretical and Experimental PhysicsMoscowUSSR

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