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
Article
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Abstract

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.

Keywords

Dynamical System Field Theory Discrete Time Integrable System Algebraic Geometry 

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Copyright information

© Kluwer Academic/Plenum Publishers 1999

Authors and Affiliations

  • I. G. Korepanov

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