Box-basket-ball systems

Details Box-basket-ball systems Box-basket-ball systems

2010-11-26

arxiv.org/abs/1011.5930v1

Mathematics

Quantum Algebra

16 pages, 4 figures

Scientific paper

Using the whurl relation of the first two authors, we define a new discrete solitonic system, which we call the box-basket-ball system, generalizing the box-ball system of Takahashi and Satsuma. In box-basket-ball systems balls may be put either into boxes or into baskets. While boxes stay fixed, both balls and baskets get moved during time evolution. Balls and baskets behave as fermionic and bosonic particles respectively. We classify the solitons of this system, and study their scattering.

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