The Lattice Equations of the Toda Type with an Interaction between a Few Neighborhoods

Nonlinear Sciences – Exactly Solvable and Integrable Systems

Scientific paper

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10 pages, LaTeX, revised version: the references, the hierarchies of the first integrals and infinitesimal symmetries are adde

Scientific paper

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.

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