138 citations · 725 across the 47 of their papers we have counts for
47 papers
Polynomial tau-functions of the symplectic KP, orthogonal KP and BUC hierarchies
Denghui Li, Zhaowen Yan
This paper is concerned with the construction of the polynomial tau-functions of the symplectic KP (SKP), orthogonal KP (OKP) hierarchies and universal character hierarchy of B-typ…
Painlevé V for a Jacobi unitary ensemble with random singularities
Mengkun Zhu, Chuanzhong Li, Yang Chen
In this paper, we focus on the relationship between the fifth Painlevé equation and a Jacobi weight perturbed with random singularities, \begin{equation*} w(z)=\left(1-z^2\right)^α…
Darboux transformations and solutions of nonlocal Hirota and Maxwell-Bloch equations
Ling An, Chuanzhong Li, Lixiang Zhang
In this paper, based on the Hirota and Maxwell-Bloch (H-MB) system and its application in the theory of the femtosecond pulse propagation through an erbium doped fiber, we define t…
The smallest eigenvalue of large Hankel matrices generated by a singularly perturbed Laguerre weight
Mengkun Zhu, Yang Chen, Chuanzhong Li
An asymptotic expression of the orthonormal polynomials as , associated with the singularly perturbed Laguerre weight $w_α(x;t)=x^α{\rm e}^…
Extensions of the finite nonperiodic Toda lattices with indefinite metrics
Jian Li, Chuanzhong Li
In this paper, we firstly construct a weakly coupled Toda lattices with indefinite metrics which consist of different coupled Hamiltonian systems. Afterwards, we consider the…
A strongly coupled extended Toda hierarchy and its Virasoro symmetry
Chuanzhong Li
As a generalization of the integrable extended Toda hierarchy and a reduction of the extended multicomponent Toda hierarchy, from the point of a commutative subalgebra of $gl(2,\ma…