Deconstructing an integrable lattice

A. Ramani, N. Joshi, B. Grammaticos, T. Tamizhmani

Abstract

We show that an integrable lattice equation, obtained by J. Hietarinta using the "consistency around a cube" method without the tetrahedron assumption, is indeed solvable by linearisation. We present also its nonautonomous extension.

Keywords: integrable mappings, linearisation, invariants, reductions of lattice equations.

AMS Subject Classification: Primary 39A12;; secondary 37J35; 37J15.