756 citations
- Nanjing Normal UniversityCN16 papers
- Yantai UniversityCN14 papers
- Peking UniversityCN13 papers
- Bielefeld UniversityDE12 papers
- Chinese Academy of SciencesCN10 papers
- Fudan UniversityCN8 papers
- Jilin UniversityCN8 papers
- China University of Mining and TechnologyCN7 papers
- State Key Laboratory of High Pressure and Superhard MaterialsCN7 papers
- Carnegie Institution for ScienceUS6 papers
- Center for High Pressure Science and Technology Advanced ResearchCN6 papers
- Geophysical LaboratoryUS6 papers
13 papers · 1 filter
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…
Time-dependent defects in integrable soliton equations
Baoqiang Xia, Ruguang Zhou
We study -dimensional integrable soliton equations with time-dependent defects located at , where is a function of class . We define the defect condition…
The Ablowitz-Ladik system on a graph
Baoqiang Xia
This paper presents an approach to study initial-boundary value (IBV) problems for integrable nonlinear differential-difference equations (DDEs) posed on a graph. As an illustrativ…
The massive Thirring system in the quarter plane
Baoqiang Xia
The unified transform method (UTM) for analyzing initial-boundary value (IBV) problems provides an important generalization of the inverse scattering transform (IST) method for ana…
The Ablowitz-Ladik system on a finite set of integers
Baoqiang Xia
We show how to solve initial-boundary value problems for integrable nonlinear differential-difference equations on a finite set of integers. The method we employ is the discrete an…
Initial-boundary value problems associated with the Ablowitz-Ladik system
Baoqiang Xia, A. S. Fokas
We employ the Ablowitz-Ladik system as an illustrative example in order to demonstrate how to analyze initial-boundary value problems for integrable nonlinear differential-differen…