Attractors and dimensions for discretizations of a NLS equation with a non-local nonlinear term
The authors develop a semi-discretized nonlinear Schrödinger equation with a non-local nonlinear term. It is proved that for each mesh size there exist attractors for the discretized system. A number of theorems and propositions is presented and numerical experiments are performed for illustration.
scientific article; zbMATH DE number 1921167
scientific article