2 papers
nlin.SI2025
Stationary reduction method based on nonisospectral deformation of orthogonal polynomials, and discrete Painlevé-type equations
Xiao-Lu Yue, Xiang-Ke Chang, Xing-Biao Hu
In this work, we propose a new approach called ``stationary reduction method based on nonisospectral deformation of orthogonal polynomials" for deriving discrete Painlevé-type (d-…
nlin.SI2024
Multidimensional Nonhomogeneous Quasi-Linear Systems and Their Hamiltonian Structure
Xin Hu, Matteo Casati
In this paper, we investigate multidimensional first-order quasi-linear systems and find necessary conditions for them to admit Hamiltonian formulation. The insufficiency of the co…