Hirota equation as an example of integrable symplectic map

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.

10 pages, LaTeX

References in corpus (1)

• Quantum affine symmetry in vertex models

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