Searching for CAC-maps

@article{Hietarinta2005SearchingFC,
  title={Searching for CAC-maps},
  author={J. Hietarinta},
  journal={Journal of Nonlinear Mathematical Physics},
  year={2005},
  volume={12},
  pages={223 - 230}
}
  • J. Hietarinta
  • Published 2005
  • Mathematics
  • Journal of Nonlinear Mathematical Physics
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 lattice equations assuming also the same symmetry properties, but not… Expand
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