30 citations · 128 across the 29 of their papers we have counts for
5 papers · 1 filter
Matrix-valued -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 -deformed bi-orthogonal polynomials and non-commutative Toda-type hierarchies. In this procedure, Wrons…
Rank shift conditions and reductions of 2d-Toda theory
Shi-Hao Li, Guo-Fu Yu
This paper focuses on different reductions of 2-dimensional (2d-)Toda hierarchy. Symmetric and skew symmetric moment matrices are firstly considered, resulting in the differential…
The Cauchy two-matrix model, C-Toda lattice and CKP hierarchy
Chunxia Li, Shi-Hao Li
This paper mainly talks about the Cauchy two-matrix model and its corresponding integrable hi- erarchy with the help of orthogonal polynomials theory and Toda-type equations. Start…
Degasperis-Procesi peakon dynamical system and finite Toda lattice of CKP type
Xiang-Ke Chang, Xing-Biao Hu, Shi-Hao Li
In this paper, we propose a finite Toda lattice of CKP type (C-Toda) together with a Lax pair. Our motivation is based on the fact that the Camassa-Holm (CH) peakon dynamical syste…
An Application of Pfaffians to multipeakons of the Novikov equation and the finite Toda lattice of BKP type
Xiang-Ke Chang, Xing-Biao Hu, Shi-Hao Li +1
The Novikov equation is an integrable analogue of the Camassa-Holm equation with a cubic (rather than quadratic) nonlinear term. Both these equations support a special family of we…