Volume 12, Issue Supplement 2, December 2005, Pages 223 - 230
Searching for CAC-maps
Available Online 1 December 2005.
- https://doi.org/10.2991/jnmp.2005.12.s2.16How to use a DOI?
- 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.
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- This is an open access article distributed under the CC BY-NC license.
Cite this article
TY - JOUR AU - Jarmo HIETARINTA PY - 2005 DA - 2005/12 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 - https://doi.org/10.2991/jnmp.2005.12.s2.16 ID - HIETARINTA2005 ER -