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Inversible Max-Plus algebras and integrable systems.

Authors :
Ochiai, Tomoshiro
Nacher, Jose C.
Source :
Journal of Mathematical Physics. Jun2005, Vol. 46 Issue 6, p063507. 17p.
Publication Year :
2005

Abstract

We present an extended version of max-plus algebra which includes the inverse operator of “max.” This algebra enables us to ultradiscretize the system including subtractions and obtain new ultradiscrete equations. The known ultradiscrete equations can also be recovered by this construction. [ABSTRACT FROM AUTHOR]

Details

Language :
English
ISSN :
00222488
Volume :
46
Issue :
6
Database :
Academic Search Index
Journal :
Journal of Mathematical Physics
Publication Type :
Academic Journal
Accession number :
17357558
Full Text :
https://doi.org/10.1063/1.1925247