Journal of Mathematical Sciences

, Volume 94, Issue 4, pp 1620–1629 | Cite as

Vacuum curves and classical integrable systems in 2+1 discrete dimensions

  • I. G. Korepanov


A dynamical system in discrete time is studied by means of algebraic geometry. This system has reductions which can be interpreted as classical field theory in the 2+1 discrete space-time. The study is based on the technique of vacuum curves and vacuum vectors. The evolution of the system has hyperbolic character, i.e., has a finite propagation speed. Bibliography: 10 titles.


Dynamical System Field Theory Discrete Time Integrable System Algebraic Geometry 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.


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Copyright information

© Kluwer Academic/Plenum Publishers 1999

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  • I. G. Korepanov

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