32 citations · 34 across the 6 of their papers we have counts for
5 papers · 1 filter
Algebro-geometric integration to the discrete Chen-Lee-Liu system
Xiaoxue Xu, Decong Yi, Xing Li +1
Algebro-geometric solutions for the discrete Chen-Lee-Liu (CLL) system are derived in this paper. We construct a nonlinear integrable symplectic map which is used to define discret…
The direct linearization scheme with the Lamé function: The KP equation and reductions
Xing Li, Ying-ying Sun, Da-jun Zhang
The paper starts from establishing an elliptic direct linearization (DL) scheme for the Kadomtsev-Petviashvili equation. The scheme consists of an integral equation (involving the…
The Lamé functions and elliptic soliton solutions: Bilinear approach
Xing Li, Da-jun Zhang
The Lamé function can be used to construct plane wave factors and solutions to the Korteweg-de Vries (KdV) and Kadomtsev-Petviashvili (KP) hierarchy. The solutions are usually call…
Elliptic soliton solutions: functions, vertex operators and bilinear identities
Xing Li, Da-jun Zhang
We establish a bilinear framework for elliptic soliton solutions which are composed by the Lamé-type plane wave factors. functions in Hirota's form are derived and vertex opera…
Recurrence relations for the generalized Laguerre and Charlier orthogonal polynomials and discrete Painlevé equations on the Sakai surface
Xing Li, Anton Dzhamay, Galina Filipuk +1
This paper concerns the discrete version of the Painlevé identification problem, i.e., how to recognize a certain recurrence relation as a discrete Painlevé equation. Often some cl…