On the combinatorics of several integrable hierarchies

DOI10.1088/1751-8113/48/26/265203zbMath1316.05010arXiv1501.06086OpenAlexW3103562154MaRDI QIDQ5262194

Vsevolod Eduardovich Adler

Publication date: 13 July 2015

Published in: Journal of Physics A: Mathematical and Theoretical (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1501.06086

zbMATH Keywords

Bessel numbersBell polynomialset partitionDowling numbers\(B\) type partitiongenerting functionnon-overlaping partition

Mathematics Subject Classification ID

Exact enumeration problems, generating functions (05A15) Partitions of sets (05A18) Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) KdV equations (Korteweg-de Vries equations) (35Q53)

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