4 papers
Central Equations and Band Structures of Linear Magnetohydrodynamic Waves in a Magneto-Lattice
Shiyu Sun, Peifeng Fan, Yulei Wang +3
We investigate the band structures and propagation properties of linear ideal magnetohydrodynamic (MHD) waves in a plasma with a spatially periodic background magnetic field (a mag…
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…
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…
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…