8 citations · 8 across the 2 of their papers we have counts for
6 papers · 1 filter
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…
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…
Integrable discretization of recursion operators and unified bilinear forms to soliton hierarchies
Xingbiao Hu, Guofu Yu, Yingnan Zhang
In this paper, we give a procedure for discretizing recursion operators by utilizing unified bilinear forms within integrable hierarchies. To illustrate this approach, we present u…
Variable separation approach for a differential-difference system: special Toda equation
Xian-min Qian, Sen-yue Lou, Xing-biao Hu
A multi-linear variable separation approach is developed to solve a differential-difference Toda equation. The semi-discrete form of the continuous universal formula is found for a…