The solution to the initial value problem for the ultradiscrete Somos-4 and 5 equations

2017/01/16 by Nakata, Yoichi · 1 citation
#Exactly Solvable and Integrable Systems (nlin.SI) #FOS: Physical sciences

paper · doi:10.48550/arxiv.1701.04262

Abstract

We propose a method to solve the initial value problem for the ultradiscrete Somos-4 and Somos-5 equations by expressing terms in the equations as convex polygons and regarding max-plus algebras as those on polygons.

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• Signed Minkowski decompositions of convex polygons into minimum simplices and factorization of max-plus functions

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