22 citations · 67 across the 13 of their papers we have counts for
13 papers
Enumeration of hypermaps and Hirota equations for extended rationally constrained KP
G. Carlet, J. van de Leur, H. Posthuma +1
We consider the Hurwitz Dubrovin--Frobenius manifold structure on the space of meromorphic functions on the Riemann sphere with exactly two poles, one simple and one of arbitrary o…
Polynomial tau-functions for the multi-component KP hierarchy
Victor Kac, Johan van de Leur
In a previous paper we constructed all polynomial tau-functions of the 1-component KP hierarchy, namely, we showed that any such tau-function is obtained from a Schur polynomial $s…
Hirota equations for the extended bigraded Toda hierarchy and the total descendent potential of CP^1 orbifolds
Guido Carlet, Johan van de Leur
We prove that the Hirota quadratic equations of Milanov and Tseng define an integrable hierarchy which is equivalent to the extended bigraded Toda hierarchy. In particular this pro…
Towards Lax formulation of integrable hierarchies of topological type
Guido Carlet, Johan van de Leur, Hessel Posthuma +1
To each partition function of cohomological field theory one can associate an Hamiltonian integrable hierarchy of topological type. The Givental group acts on such partition functi…
A geometric derivation of KdV-type hierarchies from root systems
Arthemy V. Kiselev, Johan W. van de Leur
For the root system of each complex semi-simple Lie algebra of rank two, and for the associated 2D Toda chain , we calculate the two first integrals of the…
Generalized Landau-Lifshitz systems and Lie algebras associated with higher genus curves
S. Igonin, J. van de Leur, G. Manno +1
The Wahlquist-Estabrook prolongation method allows to obtain for some PDEs a Lie algebra that is responsible for Lax pairs and Backlund transformations of certain type. We study th…