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

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

2012-03-20

arxiv.org/abs/1203.4404v1

Mathematics

Algebraic Geometry

13 pages, 1 figure

Scientific paper

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.

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