26 citations · 156 across the 18 of their papers we have counts for
18 papers
Infinite-dimensional Frobenius Manifolds and Extensions of Genus-Zero Whitham Hierarchies
Shilin Ma, Chao-Zhong Wu, Dafeng Zuo
In this paper we construct a class of infinite-dimensional Frobenius manifolds in the spaces of pairs of meromorphic functions defined on certain regions of the Riemann sphere. For…
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…
Bilinear equation and additional symmetries for an extension of the Kadomtsev-Petviashvili hierarchy
Jiaping Lu, Chao-Zhong Wu
An extension of the Kadomtsev-Petviashvili (KP) hierarchy defined via scalar pseudo-differential operators was studied in [16, 20]. In this paper, we represent the extended KP hier…
Virasoro Constraints for Drinfeld-Sokolov hierarchies and equations of Painlevé type
Si-Qi Liu, Chao-Zhong Wu, Youjin Zhang
We construct a tau cover of the generalized Drinfeld-Sokolov hierarchy associated to an arbitrary affine Kac-Moody algebra with gradations $\mathrm{s}\le\mathds{1}$ and derive its…
Drinfeld-Sokolov hierarchies and diagram automorphisms of affine Kac-Moody algebras
Si-Qi Liu, Chao-Zhong Wu, Youjin Zhang +1
For a diagram automorphism of an affine Kac-Moody algebra such that the folded diagram is still an affine Dynkin diagram, we show that the associated Drinfeld-Sokolov hierarchy als…
Borodin-Okounkov formula, string equation and topological solutions of Drinfeld-Sokolov hierarchies
Mattia Cafasso, Chao-Zhong Wu
We give a general method to compute the expansion of topological tau functions for Drinfeld-Sokolov hierarchies associated to an arbitrary untwisted affine Kac-Moody algebra. Our m…
An extension of the Kadomtsev-Petviashvili hierarchy and its Hamiltonian structures
Chao-Zhong Wu, Xu Zhou
In this note we consider a two-component extension of the Kadomtsev-Petviashvili (KP) hierarchy represented with two types of pseudo-differential operators, and construct its Hamil…
Tau functions and the limit of block Toeplitz determinants
Mattia Cafasso, Chao-Zhong Wu
A classical way to introduce tau functions for integrable hierarchies of solitonic equations is by means of the Sato-Segal-Wilson infinite-dimensional Grassmannian. Every point in…
Infinite-dimensional Frobenius Manifolds Underlying the Toda Lattice Hierarchy
Chao-Zhong Wu, Dafeng Zuo
Following the approach of Carlet et al.(2011)\cite{CDM}, we construct a class of infinite-dimensional Frobenius manifolds underlying the Toda lattice hierarchy, which are defined o…
Tau function of the CKP hierarchy and non-linearizable Virasoro symmetries
Liang Chang, Chao-Zhong Wu
We introduce a single tau function that represents the CKP hierarchy into a generalized Hirota "bilinear" equation. The actions on the tau function by additional symmetries for the…
Tau Functions and Virasoro Symmetries for Drinfeld-Sokolov Hierarchies
Chao-Zhong Wu
For each Drinfeld-Sokolov integrable hierarchy associated to affine Kac-Moody algebra, we obtain a uniform construction of tau function by using tau-symmetric Hamiltonian densities…
From Additional Symmetries to Linearization of Virasoro Symmetries
Chao-Zhong Wu
We construct the additional symmetries and derive the Adler-Shiota-van Moerbeke formula for the two-component BKP hierarchy. We also show that the Drinfeld-Sokolov hierarchies of t…
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…
-matrices and Hamiltonian Structures for Certain Lax Equations
Chao-Zhong Wu
In this paper a list of -matrices on a certain coupled Lie algebra is obtained. With one of these -matrices, we construct infinitely many bi-Hamiltonian structures for each o…
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.
On the Drinfeld-Sokolov Hierarchies of D type
Si-Qi Liu, Chao-Zhong Wu, Youjin Zhang
We extend the notion of pseudo-differential operators that are used to represent the Gelfand-Dickey hierarchies, and obtain a similar representation for the full Drinfeld-Sokolov h…
A Remark on Kac-Wakimoto Hierarchies of D-type
Chao-Zhong Wu
For the Kac-Wakimoto hierarchy constructed from the principal vertex operator realization of the basic representation of the affine Lie algebra , we compute the coeffici…
On Properties of Hamiltonian Structures for a Class of Evolutionary PDEs
Si-Qi Liu, Chao-Zhong Wu, Youjin Zhang
In \cite{LZ2} it is proved that for certain class of perturbations of the hyperbolic equation , there exist changes of coordinate, called quasi-Miura transformations,…