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

2009/02/28 by Andrei K. Svinin · 2 citations
Physics and Astronomy · #nlin.SI

paper · pdf · doi:10.1088/1751-8113/42/45/454021

published as J. Phys. A: Math. Theor., V. 42 (2009), 454021 (15pp) · 15 pages

arxiv created 2011/01/21 · arxiv updated 2015/05/12

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].

Cited by

• Invariants for a family of discrete equations with the Laurent property
• A non-commutative discrete first Painlevé hierarchy: the Lax pair approach

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