Box-basket-ball systems

Thomas Lam; Pavlo Pylyavskyy; Reiho Sakamoto

doi:10.1142/S0129055X12500195

Box-basket-ball systems

Thomas Lam, Pavlo Pylyavskyy, Reiho Sakamoto

School of Mathematics

Research output: Contribution to journal › Review article › peer-review

1 Scopus citations

Abstract

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.

Original language	English (US)
Article number	1250019
Journal	Reviews in Mathematical Physics
Volume	24
Issue number	8
DOIs	https://doi.org/10.1142/S0129055X12500195
State	Published - Sep 2012

Bibliographical note

Funding 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.

Keywords

Box-ball system
discrete solitonic system
whurl relation

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10.1142/S0129055X12500195

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abstract = "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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N2 - 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.

AB - 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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Box-basket-ball systems

Abstract

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