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Letters in Mathematical Physics

, Volume 32, Issue 2, pp 125–135 | Cite as

Hirota equation as an example of an integrable symplectic map

  • L. Faddeev
  • A. Yu. Volkov
Article

Abstract

The Hamiltonian formalism is developed for the sine-Gordon model on the spacetime light-like lattice, first introduced by Hirota. The evolution operator is explicitly constructed in the quantum variant of the model and the integrability of the corresponding classical finite-dimensional system is established.

Mathematics Subject Classifications (1991)

35Q53 58F07 81T25 

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Copyright information

© Kluwer Academic Publishers 1994

Authors and Affiliations

  • L. Faddeev
    • 1
    • 2
  • A. Yu. Volkov
    • 3
  1. 1.Saint Petersburg Branch of the Steklov Mathematical InstituteSaint PetersburgRussia
  2. 2.Research Institute for Theoretical PhysicsUniversity of HelsinkiFinland
  3. 3.Physique-MathématiqueUniversité de BourgogneDijon CédexFrance

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