Inversible Max-Plus Algebras and Integrable systems
Exactly Solvable and Integrable Systems
2009-11-10 v1 Cellular Automata and Lattice Gases
Abstract
We present an extended version of max-plus algebra which includes the inverse operator of "max". This algebra enables us to ultra-discretize the system including subtractions and obtain new ultra-discrete equations. The known ultra-discrete equations can also be recovered by this construction.
Cite
@article{arxiv.nlin/0405067,
title = {Inversible Max-Plus Algebras and Integrable systems},
author = {Tomoshiro Ochiai},
journal= {arXiv preprint arXiv:nlin/0405067},
year = {2009}
}
Comments
21 pages