Tropical Krichever construction for the non-periodic box and ball system
Algebraic Geometry
2015-06-04 v1
Abstract
A solution for an initial value problem of the box and ball system is constructed from a solution of the periodic box and ball system. The construction is done through a specific limiting process based on the theory of tropical geometry. This method gives a tropical analogue of the Krichever construction, which is an algebro-geometric method to construct exact solutions to integrable systems, for the non-periodic system.
Keywords
Cite
@article{arxiv.1203.4404,
title = {Tropical Krichever construction for the non-periodic box and ball system},
author = {Shinsuke Iwao and Hidetomo Nagai and Shin Isojima},
journal= {arXiv preprint arXiv:1203.4404},
year = {2015}
}
Comments
13 pages, 1 figure