Dynamics of the discrete coupled nonlinear Schrödinger–Boussinesq equations

摘要

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.