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Published on: December 15, 2021
Locally resonant structure optimal for creation of nonlinear Schrödinger solitons
1Nanjing University, Key Laboratory of Modern Acoustics (MOE) and Institute of Acoustics, Nanjing 210093, People's Republic of China.
Abstract:
A more feasible and flexible approach is developed for emission of nonlinear Schrödinger solitons from an impurity-induced localized wave in the β-FPU model. The impurity structure used for inducing the localized wave is proposed to include an additional elasticity impurity α, as well as a mass impurity m. It is argued that the driving threshold γ_{th} for soliton emission can be controlled by regulating α in combination with m, and it can reach its minimum γ_{th}^{(}min) by optimizing the relationship between impurity parameters (α,m). The theoretical results are validated by both numerical simulations and experiments. Further, numerical and experimental investigations show the flexibility and efficiency of the proposed structure in controlling the amplitude of emitted solitons, the rate of emission, and even, the purity of radiated solitonic pulses, either by regulating the impurity parameters or by varying the driving parameters in a broadened range.
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