Summary
The relationship between stationary solitons and energy localization in chains of nonlinear oscillators has been extensively documented in the literature. Despite the established nature of this correlation, studies providing a deep analysis of damped solitons solely subjected to external excitation are still needed, once, to the best of our knowledge, the influence of the coupling stiffness on vibration localization still needs further investigation. Contrary to systems subjected to parametric excitation, externally driven damped solitons do not have reported analytical solutions, imposing an additional computational challenge. In this context, this study aims to elucidate how the coupling stiffness can impact the localization of kinetic energy in mechanical lattices through the Nonlinear Schrödinger Equation, focusing solely on external excitation. Numerical simulations demonstrate that solitonic dynamics in oscillator chains do not necessarily require low coupling values; however, analogous to Anderson localization, the intensity of localization increases with the decrease in the coupling strength.
