Searching for CAC-maps

DOI

10.2991/jnmp.2005.12.s2.16How to use a DOI?

Abstract

For two-dimensional lattice equations the standard definition of integrability is that it should be possible to extend the map consistently to three dimensions, i.e., that it is "consistent around a cube" (CAC). Recently Adler, Bobenko and Suris conducted a search based on this principle, together with the additional assumptions of symmetry and "the tetrahedron property". We present here results of a search for CAC latice equations assuming also the same symmetry properties, but not the tetrahedron property.

Copyright

© 2006, the Authors. Published by Atlantis Press.

Open Access

This is an open access article distributed under the CC BY-NC license (http://creativecommons.org/licenses/by-nc/4.0/).

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TY  - JOUR
AU  - Jarmo Hietarinta
PY  - 2005
DA  - 2005/12/01
TI  - Searching for CAC-maps
JO  - Journal of Nonlinear Mathematical Physics
SP  - 223
EP  - 230
VL  - 12
IS  - Supplement 2
SN  - 1776-0852
UR  - https://doi.org/10.2991/jnmp.2005.12.s2.16
DO  - 10.2991/jnmp.2005.12.s2.16
ID  - Hietarinta2005
ER  -