44 citations · 196 across the 19 of their papers we have counts for
3 papers · 1 filter
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…
A generalized nonisospectral Camassa-Holm equation and its multipeakon solutions
Xiangke Chang, Xiaomin Chen, Xingbiao Hu
Motivated by the paper (Beals, Sattinger and Szmigielski, Adv. Math. 154 (2000) 229--257), we propose an extension of the Camassa-Holm equation, which also admits the multipeakon s…
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…