40 citations · 209 across the 16 of their papers we have counts for
16 papers
The constrained KP hierarchy and the bigraded Toda hierarchy of -type
Ang Fu, Di Yang, Dafeng Zuo
In this paper, we extend the matrix-resolvent method to the study of the Dubrovin--Zhang type tau-functions for the constrained KP hierarchy and the bigraded Toda hierarchy of $(M,…
Infinite-dimensional Frobenius Manifolds Underlying the Universal Whitham Hierarchy
Shilin Ma, Chao-Zhong Wu, Dafeng Zuo
We construct a class of infinite-dimensional Frobenius manifolds on the spaces of pairs of meromorphic functions with a pole at infinity and a movable pole. Such Frobenius manifold…
Frobenius manifolds and a new class of extended affine Weyl groups
Dafeng Zuo
We present a new class of extended affine Weyl groups for and obtain an analogue of Chevalley-type theorem for their invariants. We furt…
Energy functional for Lagrangian tori in
Hui Ma, Andrey E. Mironov, Dafeng Zuo
In this paper we study Lagrangian tori in . A two-dimensional periodic Schrödinger operator is associated with every Lagrangian torus in . We introd…
Integrability of the Frobenius algebra-valued KP hierarchy
Ian A. B. Strachan, Dafeng Zuo
We introduce a Frobenius algebra-valued KP hierarchy and show the existence of Frobenius algebra-valued -function for this hierarchy. In addition we construct its Hamiltonian st…
Extended affine Weyl groups of BCD type, Frobenius manifolds and their Landau-Ginzburg superpotentials
Boris Dubrovin, Ian A. B. Strachan, Youjin Zhang +1
For the root systems of type and , we generalize the result of \cite{DZ1998} by showing the existence of Frobenius manifold structures on the orbit spaces of the ex…