The application of the theory of trigonal curves to the discrete coupled nonlinear Schrödinger hierarchy
The mathematical object, which is explored in this work, is the matrix nonlinear Schrödinger equation discrete with the respect to a spatial lattice and continuous with respect to time. It is associated with a hierarchy corresponding to the discrete \(3\times 3\) matrix spectral problem studied from algebro-geometric point of view; in particular, the stationary Baker-Akhiezer function is extended to the time-dependent case.
discrete non-linear Schrödinger equation
scientific article; zbMATH DE number 7079111
scientific article