On the combinatorics of several integrable hierarchies
Abstract
We demonstrate that statistics of certain classes of set partitions are described by generating functions related to the Burgers, Ibragimov-Shabat and Korteweg-de Vries integrable hierarchies.
- Publication:
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Journal of Physics A Mathematical General
- Pub Date:
- July 2015
- DOI:
- 10.1088/1751-8113/48/26/265203
- arXiv:
- arXiv:1501.06086
- Bibcode:
- 2015JPhA...48z5203A
- Keywords:
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- Nonlinear Sciences - Exactly Solvable and Integrable Systems;
- Mathematics - Combinatorics;
- 05A18;
- 37K10
- E-Print:
- 16 pages