Shi‐Hao Li

activity

20172025

most citedPartial-skew-orthogonal polynomials and related integrable lattices with Pfaffian tau-functions

30 citations · 128 across the 29 of their papers we have counts for

collaborators

Showing 2023Show all

3 papers · 1 filter

math-ph2023

On non-commutative leapfrog map

Bao Wang, Shi-Hao Li

We investigate the integrability of the non-commutative leapfrog map in this paper. Firstly, we derive the explicit formula for the non-commutative leapfrog map and corresponding d…

nlin.SI2023

Matrix-valued $θ$ -deformed bi-orthogonal polynomials, Non-commutative Toda theory and Bäcklund transformation

Claire Gilson, Shi-Hao Li, Ying Shi

This paper is devoted to revealing the relationship between matrix-valued $θ$ -deformed bi-orthogonal polynomials and non-commutative Toda-type hierarchies. In this procedure, Wrons…

math-ph2023

Multiple skew orthogonal polynomials and 2-component Pfaff lattice hierarchy

Shi-Hao Li, Bo-Jian Shen, Jie Xiang +1

In this paper, we introduce multiple skew-orthogonal polynomials and investigate their connections with classical integrable systems. By using Pfaffian techniques, we show that mul…

On non-commutative leapfrog map

Matrix-valued θ-deformed bi-orthogonal polynomials, Non-commutative Toda theory and Bäcklund transformation

Multiple skew orthogonal polynomials and 2-component Pfaff lattice hierarchy

Matrix-valued $θ$ -deformed bi-orthogonal polynomials, Non-commutative Toda theory and Bäcklund transformation