On some integrable lattice related by the Miura-type transformation to the Itoh-Narita-Bogoyavlenskii lattice

Abstract

We show that by Miura-type transformation the Itoh-Narita-Bogoyavlenskii lattice, for any $n\ge 1$, is related to some differential-difference (modified) equation. We present corresponding integrable hierarchies in its explicit form. We study the elementary Darboux transformation for modified equations.

Latex, 9 pages

References in corpus (1)

• Classification of integrable equations on quad-graphs. The consistency approach

Cited by in corpus (4)

• Integrable Möbius invariant evolutionary lattices of second order
• Generalized Volterra lattices: binary Darboux transformations and self-consistent sources
• On matrix Lax representations and constructions of Miura-type transformations for differential-difference equations
• Matrix Lax pairs under the gauge equivalence relation induced by the gauge group action and Miura-type transformations for lattice equations