25 citations · 46 across the 4 of their papers we have counts for
4 papers
About several classes of bi-orthogonal polynomials and discrete integrable systems
Xiangke Chang, Xiaomin Chen, Xingbiao Hu +1
By introducing some special bi-orthogonal polynomials, we derive the so-called discrete hungry quotient-difference (dhQD) algorithm and a system related to the QD-type discrete hun…
Integrable Discretization of Soliton Equations via Bilinear Method and Bäcklund Transformation
Yingnan Zhang, Xiangke Chang, Juan Hu +2
In this paper, we present a systematic procedure to derive discrete analogues of integrable PDEs via Hirota's bilinear method. This approach is mainly based on the compatibility be…
Negative Volterra Flows and Mixed Volterra Flows and Their Infinitely Many Conservation Laws
Zuo-nong Zhu, Hon-Wah Tam
In this article, by means of considering an isospectral operator equation which corresponds to the Volterra lattice, and constructing opportune time evolution problems with negativ…
Nonlinear Modulation of Multi-Dimensional Lattice Waves
Guoxiang Huang, Vladimir V. Konotop, Hon-Wah Tam +1
The equations governing weakly nonlinear modulations of -dimensional lattices are considered using a quasi-discrete multiple-scale approach. It is found that the evolution of a…