27 citations · 35 across the 2 of their papers we have counts for
2 papers
math-ph2020★ 8 cited
Higher genera Catalan numbers and Hirota equations for extended nonlinear Schroedinger hierarchy
G. Carlet, J. van de Leur, H. Posthuma +1
We consider the Dubrovin--Frobenius manifold of rank whose genus expansion at a special point controls the enumeration of a higher genera generalization of the Catalan numbers,…
math.RT2020★ 27 cited
Polynomial Tau-functions of the KP, BKP, and the s-Component KP Hierarchies
Victor G. Kac, Natasha Rozhkovskaya, Johan van de Leur
We show that any polynomial tau-function of the s-component KP and the BKP hierarchies can be interpreted as a zero mode of an appropriate combinatorial generating function. As an…