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.
Bibliographical noteFunding Information:
T. L. is supported by NSF grant DMS-0901111, and by a Sloan Fellowship. P. P. was supported by NSF grant DMS-0757165. R. S. is partially supported by Grants-in-Aid for Scientific Research No. 21740114 from JSPS.
- Box-ball system
- discrete solitonic system
- whurl relation