The Lattice Equations of the Toda Type with an Interaction between a Few Neighborhoods
arXiv:nlin/0208020 · doi:10.1088/0305-4470/37/5/018
Abstract
The sets of the integrable lattice equations, which generalize the Toda lattice, are considered. The hierarchies of the first integrals and infinitesimal symmetries are found. The properties of the multi-soliton solutions are discussed.
10 pages, LaTeX, revised version: the references, the hierarchies of the first integrals and infinitesimal symmetries are added