Xing Li

activity

20222025

τ

functions, vertex operators and bilinear identities

32 citations · 34 across the 6 of their papers we have counts for

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3 papers · 1 filter

nlin.SI2022★ 32 cited

Elliptic soliton solutions: $τ$ 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. $τ$ functions in Hirota's form are derived and vertex opera…

math.DS2022

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 {…

nlin.SI2022★ 2 cited

Recurrence relations for the generalized Laguerre and Charlier orthogonal polynomials and discrete Painlevé equations on the $D_{6}^{(1)}$ 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…

Elliptic soliton solutions: τ functions, vertex operators and bilinear identities

Solving the Quispel-Roberts-Thompson maps using Kajiwara-Noumi-Yamada's representation of elliptic curves

Recurrence relations for the generalized Laguerre and Charlier orthogonal polynomials and discrete Painlevé equations on the D6(1)​ Sakai surface

Elliptic soliton solutions: $τ$ functions, vertex operators and bilinear identities

Recurrence relations for the generalized Laguerre and Charlier orthogonal polynomials and discrete Painlevé equations on the $D_{6}^{(1)}$ Sakai surface