INTRINSIC LOCALIZED MODES IN PERIODIC NONLINEAR LATTICES UNDER SIMULTANEOUS EXCITATIONS

摘要

Intrinsic Localized Modes (ILMs) or solitons are investigated in periodic arrays of coupled nonlinear resonators under simultaneous external and parametric excitations. The method of multiple scales is employed, transforming the dimensionless equations of motion into a damped driven Nonlinear Schrodinger (NLS) equation. Exact stationary soliton solutions of the undamped driven NLS equation are derived, while the damped one is numerically solved using the continuous analog of the Newton method. Several numerical simulations have been performed in order to investigate the evolution of the existence and stability domains of soliton solutions with respect to the linear damping and the excitation type. In practice, this approach can be used to design nonlinear periodic lattices enabling the creation of stabilized solitons for energy transport applications.