Hirota equation as an example of integrable symplectic map

May 17, 1994
10 pages
Published in:
  • Lett.Math.Phys. 32 (1994) 125-136
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Abstract:
The hamiltonian formalism is developed for the sine-Gordon model on the space-time light-like lattice, first introduced by Hirota. The evolution operator is explicitely constructed in the quantum variant of the model, the integrability of the corresponding classical finite-dimensional system is established.