12 citations · 18 across the 4 of their papers we have counts for
4 papers
A Class of Infinite-dimensional Frobenius Manifolds and Their Submanifolds
Chao-Zhong Wu, Dingdian Xu
We construct a class of infinite-dimensional Frobenius manifolds on the space of pairs of certain even functions meromorphic inside or outside the unit circle. Via a bi-Hamiltonian…
The Inversion Symmetry of the WDVV Equations and Tau Functions
Si-Qi Liu, Dingdian Xu, Youjin Zhang
For two solutions of the WDVV equations that are related by the inversion symmetry, we show that the associated principal hierarchies of integrable systems are related by a recipro…
On Symmetries of the WDVV Equations
Dingdian Xu, Youjin Zhang
For two solutions of the WDVV equations that are related by two types of symmetries of the equations given by Dubrovin, we show that the associated principal hierarchies of integra…
Bihamiltonian Structure of the Two-component Kadomtsev-Petviashvili Hierarchy of type B
Chao-Zhong Wu, Dingdian Xu
We employ a Lax pair representation of the two-component BKP hierarchy and construct its bihamiltonian structure with R-matrix techniques.