15 citations · 28 across the 5 of their papers we have counts for
5 papers
Matrix-valued Cauchy bi-orthogonal polynomials and a novel noncommutative integrable lattice
Shi-Hao Li, Ying Shi, Guo-Fu Yu +1
Matrix-valued Cauchy bi-orthogonal polynomials were proposed in this paper, together with its quasideterminant expression. It is shown that the coefficients in four-term recurrence…
Binary Darboux transformations for discrete modified Boussinesq equation
Ying Shi, Junxiao Zhao
We obtain the well-known discrete modified Boussinesq equation in two-component form as well as its Lax pair in matrix form through a 3-periodic reduction technique on t…
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…
Darboux and Binary Darboux Transformations for Discrete Integrable Systems. II. Discrete Potential mKdV Equation
Ying Shi, Jonathan Nimmo, Junxiao Zhao
The paper presents two results. First it is shown how the discrete potential modified KdV equation and its Lax pairs in matrix form arise from the Hirota-Miwa equation by a 2-perio…
A connection between HH3 and KdV with one source
Jun-xiao Zhao, Robert Conte
In the system made of Korteweg-de Vries with one source, we first show by applying the Painleve' test that the two components of the source must have the same potential. We then ex…