On some class of reductions for Itoh-Narita-Bogoyavlenskii lattice

Abstract

We show a broad class of constraints compatible with Itoh-Narita-Bogoyavlenskii lattice hierarchy. All these constraints can be written in the form of discrete conservation law $I_{i+1}=I_i$ with appropriate homogeneous polynomial discrete function $I=I[a]$.

15 pages

References in corpus (2)

• Extension of the discrete KP hierarchy
• Reductions of integrable lattices

Cited by in corpus (4)

• Darboux transformations and Recursion operators for differential--difference equations
• Recursion and Hamiltonian operators for integrable nonabelian difference equations
• On some class of homogeneous polynomials and explicit form of integrable hierarchies of differential-difference equations
• Quantisations of the Volterra hierarchy