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

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.

13 pages, 1 figure

References in corpus (2)

• From Polygons to Ultradiscrete Painlevé Equations
• Laurent phenomenon algebras and the discrete BKP equation

Cited by in corpus (1)

• A family of integrable and non-integrable difference equations arising from cluster algebras