Dynamics of the discrete coupled nonlinear Schrödinger–Boussinesq equations

This paper studies the asymptotic behavior of solutions for the discrete coupled nonlinear Schrödinger–Boussinesq equations. The authors first prove the existence of a global attractor for the generated semigroup and then obtain an upper bound of the Kolmogorov ε-entropy for the obtained global attractor. Finally, they establish the upper semicontinuity of the global attractor when the infinite lattice systems are approximated by finite lattice systems.