2 citations · 4 across the 9 of their papers we have counts for
11 papers
An integrable semi-discretization of the modified Camassa-Holm equation with linear dispersion term
Han-Han Sheng, Guo-Fu Yu, Bao-Feng Feng
In the present paper, we are concerned with integrable discretization of a modified Camassa-Holm equation with linear dispersion term. The key of the construction is the semi-discr…
-Pearson pair and moments in -deformed ensembles
Peter J Forrester, Shi-Hao Li, Bo-Jian Shen +1
The generalisation of continuous orthogonal polynomial ensembles from random matrix theory to the -lattice setting is considered. We take up the task of initiating a systematic…
Evaluations of certain Catalan-Hankel Pfaffians via classical skew orthogonal polynomials
Bo-Jian Shen, Shi-Hao Li, Guo-Fu Yu
This paper is to evaluate certain Catalan-Hankel Pfaffians by the theory of skew orthogonal polynomials. Due to different kinds of hypergeometric orthogonal polynomials underlying…
Christoffel transformations for (partial-)skew-orthogonal polynomials and applications
Shi-Hao Li, Guo-Fu Yu
In this article, we consider the Christoffel transformations for skew-orthogonal polynomials and partial-skew-orthogonal polynomials. We demonstrate that the Christoffel transforma…
Two-parameter generalisations of Cauchy bi-orthogonal polynomials and integrable lattices
Xiang-Ke Chang, Shi-Hao Li, Satoshi Tsujimoto +1
In this article, we consider the generalised two-parameter Cauchy two-matrix model and corresponding integrable lattice equation. It is shown that with parameters chosen as …
Matrix integral solutions to the related Leznov lattice equations
Bo-Jian Shen, Guo-Fu Yu
Matrix integrals used in random matrix theory for the study of eigenvalues of matrix ensembles have been shown to provide -functions for several hierarchies of integrable equat…