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

Shinsuke Iwao; Hidetomo Nagai; Shin Isojima

doi:10.1088/1751-8113/45/39/395202

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

Shinsuke Iwao, Hidetomo Nagai, Shin Isojima

Research output: Contribution to journal › Article › peer-review

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.

Original language	English
Article number	395202
Journal	Journal of Physics A: Mathematical and Theoretical
Volume	45
Issue number	39
DOIs	https://doi.org/10.1088/1751-8113/45/39/395202
Publication status	Published - 2012 Oct 5
Externally published	Yes

ASJC Scopus subject areas

Statistical and Nonlinear Physics
Statistics and Probability
Modelling and Simulation
Mathematical Physics
Physics and Astronomy(all)

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10.1088/1751-8113/45/39/395202

Cite this

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

Abstract

ASJC Scopus subject areas

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