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nlin.SI2002
The Lattice Equations of the Toda Type with an Interaction between a Few Neighborhoods
N. V. Ustinov
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…
nlin.SI2002★ 18 cited
Darboux Covariant Equations of von Neumann Type and their Generalizations
Jan L. Cieslinski, Marek Czachor, Nikolai V. Ustinov
Lax pairs with operator valued coefficients, which are explicitly connected by means of an additional condition, are considered. This condition is proved to be covariant with respe…