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Inversible Max-Plus Algebras and Integrable systems

Tomoshiro Ochiai
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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.

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Tomoshiro Ochiai. 2004-05-29. Inversible Max-Plus Algebras and Integrable systems. https://doi.org/10.1063/1.1925247

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