Linearization of the box-ball system: an elementary approach

  title={Linearization of the box-ball system: an elementary approach},
  author={Saburo Kakei and Jonathan J. C. Nimmo and Satoshi Tsujimoto and Ralph Willox},
  journal={arXiv: Exactly Solvable and Integrable Systems},
Kuniba, Okado, Takagi and Yamada have found that the time-evolution of the Takahashi-Satsuma box-ball system can be linearized by considering rigged configurations associated with states of the box-ball system. We introduce a simple way to understand the rigged configuration of $\mathfrak{sl}_2$-type, and give an elementary proof of the linearization property. Our approach can be applied to a box-ball system with finite carrier, which is related to a discrete modified KdV equation, and also to… Expand
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