3 papers
nlin.SI2024
Noncommutative nonisospectral Toda and Lotka-Volterra lattices, and matrix discrete Painlevé equations
Anhui Yan, Chunxia Li
The noncommutative analogues of the nonisospectral Toda and Lotka-Volterra lattices are proposed and studied by performing nonisopectral deformations on the matrix orthogonal polyn…
nlin.SI2024
The non-Abelian two-dimensional Toda lattice and matrix sine-Gordon equations with self-consistent sources
Mengyuan Cui, Chunxia Li
The non-Abelian two-dimensional Toda lattice and matrix sine-Gordon equations with self-consistent sources are established and solved. Two families of quasideterminant solutions ar…
nlin.SI2024
The symmetric (2+1)-dimensional Lotka-Volterra equation with self-consistent sources
Mengyuan Cui, Chunxia Li, Yuqin Yao
The symmetric (2+1)-dimensional Lotka-Volterra equation with self-consistent sources is constructed and solved by employing the source generation procedure, whose solutions are exp…