English

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

Exactly Solvable and Integrable Systems 2017-01-17 v1

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.

Cite

@article{arxiv.1701.04262,
  title  = {The solution to the initial value problem for the ultradiscrete Somos-4 and 5 equations},
  author = {Yoichi Nakata},
  journal= {arXiv preprint arXiv:1701.04262},
  year   = {2017}
}

Comments

13 pages, 1 figure

R2 v1 2026-06-22T17:51:04.998Z