This work is devoted to investigating the decay properties for a nonlinear viscoelastic wave equation with strong damping. Under certain class of relaxation functions and initial data and using the perturbed energy method, we obtain general and optimal decay results.

In this article, we aim to investigate the decay characteristics of a system consisting of two viscoelastic wave equations with Dirichlet boundary conditions, where the dispersion term and nonlinear weak damping term are taken into account. Under appropriate conditions, we establish both general and optimal decay results. This work generalizes and improves earlier results in the literature.