Reductions of integrable lattices

Abstract

Based on the notion of Darboux-KP chain hierarchy and its invariant submanifolds we construct some class of constraints compatible with integrable lattices. Some simple examples are given.

17 pages

References in corpus (3)

• Extension of the discrete KP hierarchy
• Functional representation of the Volterra hierarchy
• Reductions of the Volterra and Toda chains

Cited by in corpus (3)

• On some class of homogeneous polynomials and explicit form of integrable hierarchies of differential-difference equations
• On some class of reductions for Itoh-Narita-Bogoyavlenskii lattice
• On some classes of discrete polynomials and ordinary difference equations