195 citations · 496 across the 30 of their papers we have counts for
6 papers · 1 filter
Solutions of the WDVV Equations and Integrable Hierarchies of KP type
H. Aratyn, J. van de Leur
We show that reductions of KP hierarchies related to the loop algebra of with homogeneous gradation give solutions of the Darboux-Egoroff system of PDE's. Using explicit dre…
The Adler-Shiota-van Moerbeke formula for the BKP hierarchy
Johan van de Leur
We study the BKP hierarchy and prove the existence of an Adler--Shiota--van Moerbeke formula. This formula relates the action of the --algebra on tau--functions to t…
The --th reduced KP hierarchy and constraints
Johan van de Leur
To every partition one can associate a vertex operator realization of the Lie algebras and . Using this construction we obtain reduc…
The --symmetries of the --component KP hierarchy
Johan van de Leur
Adler, Shiota and van Moerbeke obtained for the KP and Toda lattice hierarchies a formula which translates the action of the vertex operator on tau--functions to an action of a ver…
KdV type hierarchies, the string equation and constraints
Johan van de Leur
To every partition one can associate a vertex operator realization of the Lie algebras and . Using this construction we make reducti…
The -component KP hierarchy and representation theory
V. G. Kac, J. W. van de Leur
Starting from free charged fermions we give equivalent definitions of the $n\/$-component KP hierarchy, in terms of $τ\/$-functions $τ_α\/$ (where $α\in M =\/$ root lattice of $sl_…