28 citations · 45 across the 3 of their papers we have counts for
3 papers
math-ph2015★ 17 cited
Hankel determinant solutions to several discrete integrable systems and the Laurent Property
Xiang-Ke Chang, Xing-Biao Hu, Guoce Xin
Many discrete integrable systems exhibit the Laurent phenomenon. In this paper, we investigate three integrable systems: the Somos-4 recurrence, the Somos-5 recurrence and a system…
math-ph2014★ 28 cited
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…
math-ph2014
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…