32 citations · 34 across the 6 of their papers we have counts for
6 papers
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…
Solving the Quispel-Roberts-Thompson maps using Kajiwara-Noumi-Yamada's representation of elliptic curves
Xing Li, Tomoyuki Takenawa
It is well known that the dynamical system determined by a Quispel-Roberts-Thompson map (a QRT map) preserves a pencil of biquadratic polynomial curves on ${\mathbb{CP}}^1 \times {…
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…