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Hirota equation as an example of an integrable symplectic map

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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.

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Author notes

  1. A. Yu. Volkov

    Present address: Saint Petersburg Branch of the Steklov Mathematical Institute, Fontanka 27, 191011, Saint Petersburg, Russia

Authors and Affiliations

  1. Saint Petersburg Branch of the Steklov Mathematical Institute, Fontanka 27, 191011, Saint Petersburg, Russia

    L. Faddeev

  2. Research Institute for Theoretical Physics, University of Helsinki, PO Box 9 (Siltavuorenpenger 20C), SF-00014, Finland

    L. Faddeev

  3. Physique-Mathématique, Université de Bourgogne, BP138, 21004, Dijon Cédex, France

    A. Yu. Volkov

Authors
  1. L. Faddeev
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  2. A. Yu. Volkov
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Faddeev, L., Volkov, A.Y. Hirota equation as an example of an integrable symplectic map. Lett Math Phys 32, 125–135 (1994). https://doi.org/10.1007/BF00739422

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  • DOI: https://doi.org/10.1007/BF00739422

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