4 papers
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…
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…
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…
The extended versions of the noncommutative KP and mKP equations and Miura transformation
Muhammad Kashif, Li Chunxia, Cui Mengyuan
Extended versions of the noncommutative(nc) KP equation and the nc mKP equation are constructed in a unified way, for which two types of quasideterminant solutions are also present…