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arXiv · hep-th/9307147

Toda and Volterra Lattice Equations from Discrete Symmetries of KP Hierarchies

H. Aratyn·L. A. Ferreira·J. F. Gomes·A. H. Zimerman
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Abstract

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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H. Aratyn, L. A. Ferreira, J. F. Gomes, A. H. Zimerman. 1993-07-24. Toda and Volterra Lattice Equations from Discrete Symmetries of KP Hierarchies. https://doi.org/10.1016/0370-2693(93)90662-2

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