Toda and Volterra Lattice Equations from Discrete Symmetries of KP Hierarchies

Physics – High Energy Physics – High Energy Physics - Theory

Scientific paper

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12 pgs, LaTeX, IFT-P.041/93

Scientific paper

10.1016/0370-2693(93)90662-2

The discrete models of the Toda and Volterra chains are being constructed out
of the continuum two-boson KP hierarchies. The main tool is the discrete
symmetry preserving the Hamiltonian structure of the continuum models. The
two-boson currents of KP hierarchy are being associated with sites of the
corresponding chain by successive actions of discrete symmetry.

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