Tropical Krichever construction for the non-periodic box and ball system

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 constru...

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Bibliographic Details
Published in:arXiv.org 2012-03
Main Authors: Iwao, Shinsuke, Nagai, Hidetomo, Shin Isojima
Format: Article
Language:English
Subjects:
Boundary value problems
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Summary: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.
ISSN:2331-8422
DOI:10.48550/arxiv.1203.4404