On some class of homogeneous polynomials and explicit form of integrable hierarchies of differential-difference equations

Abstract

We introduce two classes of homogeneous polynomials and show their role in constructing of integrable hierarchies for some integrable lattices.

18 pages

References in corpus (3)

• On some class of reductions for Itoh-Narita-Bogoyavlenskii lattice
• Reductions of integrable lattices
• Extended discrete KP hierarchy and its reductions from a geometric viewpoint

Cited by in corpus (6)

• Darboux transformations and Recursion operators for differential--difference equations
• Integrable and superintegrable systems associated with multi-sums of products
• Recursion and Hamiltonian operators for integrable nonabelian difference equations
• Quantisations of the Volterra hierarchy
• On some class of partial difference equations admitting a zero-curvature representation
• On some class of differential-difference equations admitting Lax representation