30 citations · 119 across the 14 of their papers we have counts for
14 papers
Isospectral flows related to Frobenius-Stickelberger-Thiele polynomials
Xiang-Ke Chang, Xing-Biao Hu, Jacek Szmigielski +1
The isospectral deformations of the Frobenius-Stickelberger-Thiele (FST) polynomials introduced in [32](Spiridonov et al. Commun. Math. Phys. 272:139--165, 2007 ) are studied. For…
Construction of New Generalizations of Wynn's Epsilon and Rho Algorithm by Solving Finite Difference Equations in the Transformation Order
Xiang-Ke Chang, Yi He, Xing-Biao Hu +2
We construct new sequence transformations based on Wynn's epsilon and rho algorithms. The recursions of the new algorithms include the recursions of Wynn's epsilon and rho algorith…
Partial-skew-orthogonal polynomials and related integrable lattices with Pfaffian tau-functions
Xiang-Ke Chang, Yi He, Xing-Biao Hu +1
Skew-orthogonal polynomials (SOPs) arise in the study of the n-point distribution function for orthogonal and symplectic random matrix ensembles. Motivated by the average of charac…
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…
Non-isospectral extension of the Volterra lattice hierarchy, and Hankel determinants
Xiao-Min Chen, Xing-Biao Hu, Folkert Müller-Hoissen
For the first two equations of the Volterra lattice hierarchy and the first two equations of its non-autonomous (non-isospectral) extension, we present Riccati systems for function…
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…